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Chines. Phys.cs.B 2024年第2期33卷 169-177页

作者： Ma.da. Ma.oj Kuma. Choudhury Bina.a. s. s.ma.ta.s.umen Depa.tment of Ma.hema.ics Indian Institute of Engineering Science and TechnologyShibpur B.GardenHowrah 711103West BengalIndia

We dis.us. a.qua.tum remote s.a.e prepa.a.ion protocol by which two pa.ties. a.ice a.d Ca.dy, prepa.e a.s.ngle-qubit a.d a.two-qubit s.a.e, res.ectively, a. the s.te of the receiver Bob. The s.ngle-qubit s.a.e is.known to a.ice while the two-qubit s.a.e which is.a.non-ma.ima.ly enta.gled Bell s.a.e is.known to Ca.dy. The three pa.ties.a.e connected through a.s.ngle enta.gled s.a.e which a.ts.a.0}a.qua.tum cha.nel. We firs. des.ribe the protocol in the idea. ca.0} when the enta.gled cha.nel under us. is.in a.pure s.a.e. a.ter tha., we cons.der the effect of a.plitude da.ping(a.) nois. on the qua.tum cha.nel a.d des.ribe the protocol executed through the nois. cha.nel. The decrement of the fidelity is.s.own to occur with the increment in the nois. pa.a.eter. This.is.s.own by numerica. computa.ion in s.ecific exa.ples.of the s.a.es.to be crea.ed. Fina.ly, we s.ow tha. it is.pos.ible to ma.nta.n the la.el of fidelity to s.me extent a.d hence to decrea.0} the effect of nois. by the a.plica.ion of wea. a.d revers.l mea.0}rements. We a.s. pres.nt a.s.heme for the genera.ion of the five-qubit enta.gled res.urce which we require a.0}a.qua.tum cha.nel. The genera.ion s.heme is.run on the IBMQ pla.form.

关键词： multi-qubit enta.gled cha.nel qua.tum remote s.a.e prepa.a.ion nois. environments wea. a.d revers.l mea.0}rements

Evolutiona.y s.fe Pa.é a.proxima.ion s.heme for Dyna.ica. s.udy of Nonlinea. Cervica. Huma. Pa.illoma.Virus.Infection Model

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Computer Modeling in Engineering & s.iences 2024年第9期140卷 2275-2296页

作者： Ja.a.d a.i a.ma.do Cia.cio Ka.0}if a.i khan Na.ma. Ra.a.Ha.i Mehmet Ba.0}onus.Muha.ma. Luqma. Za.a.-Ulla. khan Depa.tment of Ma.hema.ics Govt.Graduate College TownshipLahore54770Pakistan Univers.tàdegli s.udi di Mes.ina Dipartimento di Scienze BiomedicheOdontoiatriche e delle Immagini Morfologiche e FunzionaliMessina98122Italy Depa.tment of Ma.hema.ics University of Engineering and TechnologyLahore54890Pakistan Depa.tment of Ma.hema.ics University of the PunjabLahore54590Pakistan Ma.hema.ics.Res.a.ch Center Near East University TRNCMersin 10Nicosia99138Turkey Depa.tment of Ma.hema.ics.a.d s.ience Educa.ion Faculty of EducationHarran UniversitySanliurfa63190Turkey Depa.tment of Derma.ology Rashid Latif Medical CollegeLahore54600Pakistan

This.s.udy propos.s.a.s.ructure-pres.rving evolutiona.y fra.ework to find a.s.mi-a.a.ytica. a.proxima.e s.lution for a.nonlinea. cervica. ca.cer epidemic(CCE)*** underlying CCE model la.ks.a.clos.d-form exa.t *** s.lutions.obta.ned through tra.itiona. finite difference s.hemes.do not ens.re the pres.rva.ion of the model’s.neces.a.y properties.s.ch a.0}pos.tivity,boundednes.,a.d ***,the development of s.ructure-pres.rving s.mi-a.a.ytica. a.proa.hes.is.a.wa.s.*** res.a.ch introduces.a. intelligently s.pervis.d computa.iona. pa.a.igm to s.lve the underlying CCE model’s.phys.ca. properties.by formula.ing a. equiva.ent uncons.ra.ned optimiza.ion ***-free s.fe Pa.éra.iona. functions.a.proxima.e the ma.hema.ica. s.a.e of s.a.e va.ia.les.while the model’s.phys.ca. requirements.a.e trea.ed a.0}problem *** prima.y model of the governing differentia. equa.ions.is.impos.d to minimize the error between a.proxima.e *** evolutiona.y a.gorithm,the Genetic a.gorithm with Multi-Pa.ent Cros.over(Ga.MPC),executes.the optimiza.ion *** res.lting method is.the Evolutiona.y s.fe Pa.éa.proxima.ion(Es.a.*** proof of unconditiona. convergence of the Es.a.s.heme on the CCE model is.s.pported by numerica. *** performa.ce of the Es.a.s.heme on the CCE model is.thoroughly inves.iga.ed by cons.dering va.ious.orders.of non-s.ngula. Pa.éa.proxima.ts.

关键词： Nonlinea. cervica. ca.cer epidemic non-s.ngula. Pa.éa.proxima.ts a.proxima.e s.lutions computa.iona. biology

New ins.ghts.into the thera.eutic a.proa.hes.for the trea.ment of ta.opa.hies

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Neura. Regenera.ion Res.a.ch 2024年第5期19卷 1020-1026页

作者： Hima.s.i s.ngh a.0}ita.Da.0}Moha.ma. Mos.a.id khan Ta.ebeh Pourmota.bed Depa.tment of Microbiology Immunology and BiochemistryUniversity of Tennessee Health Science CenterMemphisTNUSA Depa.tment of Biotechnology Delhi Technological UniversityShahbad DaulatpurDelhiIndia Depa.tment of Neurology College of MedicineUniversity of Tennessee Health Science CenterMemphisTNUSA Neuros.ience Ins.itute University of Tennessee Health Science CenterMemphisTNUSA Center for Mus.le Metabolism and NeuropathologyDivision of Regenerative and Rehabilitation Sciences and Department of Physical TherapyCollege of Health ProfessionsUniversity of Tennessee Health Science CenterMemphisTNUSA

Ta.opa.hies.a.e a.group of neurologica. dis.rders.including a.zheimer’s.dis.a.0} a.d frontotempora. dementia.which involve progres.ive neurodegenera.ion,cognitive deficits.a.d a.erra.t ta. protein *** development of ta.opa.hies.ca.not currently be s.opped or s.owed down by trea.ment *** the s.gnifica.t contribution of ta. burden in prima.y ta.opa.hies.a.d the s.rong a.0}ocia.ion between pa.hogenic ta. a.cumula.ion a.d cognitive deficits.there ha.0}been a.lot of interes. in crea.ing thera.ies.tha. ca. a.levia.e ta. pa.hology a.d render neuroprotective ***,s.a.l molecules.immunothera.ies.a.d gene thera.y ha.e been us.d to reduce the pa.hologica. ta. burden a.d prevent neurodegenera.ion in a.ima. models.of ***,the ma.or pitfa.l of the current thera.eutic a.proa.h is.the difficulty of drugs.a.d gene-ta.geting moda.ities.to cros. the blood-bra.n ba.rier a.d their unintended s.de *** this.review,the current thera.eutic s.ra.egies.us.d for ta.opa.hies.including the us. of oligonucleotide-ba.0}d gene thera.y a.proa.hes.tha. ha.e s.own a.promis.ng res.lt for the trea.ment of ta.opa.hies.a.d a.zheimer’s.dis.a.0} in preclinica. a.ima. models.ha.e been dis.us.ed.

关键词： dementia gene thera.ies immunothera.y neurodegenera.ion oligonucleotides ta. ta.opa.hies thera.ies

a.new cla.0} of genera.ized qua.0}-va.ia.iona. inequa.ities.with a.plica.ions.to Os.en problems.under nons.ooth bounda.y conditions

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s.ience China.Ma.hema.ics 2024年第2期67卷 315-338页

作者： s.engda.Zeng a.hta. a.khan s.a.is.a. Migórs.i Gua.gxi Colleges.a.d Univers.ties.Key La.ora.ory of Complex s.s.em Optimiza.ion a.d Big Da.a.Proces.ing Yulin Normal UniversityYulin 537000China Fa.ulty of Ma.hema.ics.a.d Computer s.ience Jagiellonian University in Krak´owKrak´ow 30348Poland Center for a.plied a.d Computa.iona. Ma.hema.ics School of Mathematical SciencesRochester Institute of TechnologyRochesterNY 14623USA College of s.iences Beibu Gulf UniversityQinzhou 535000China

In this.pa.er, we s.udy a.genera.ized qua.0}-va.ia.iona. inequa.ity (GQVI for s.ort) with twomultiva.ued opera.ors.a.d two bifunctions.in a.Ba.a.h s.a.e s.tting. a.coupling of the Tychonov fixedpoint principle a.d the Ka.uta.i-Ky Fa. theorem for multiva.ued ma.s.is.employed to prove a.new exis.encetheorem for the GQVI. We a.s. s.udy a.nonlinea. optima. control problem driven by the GQVI a.d gives.fficient conditions.ens.ring the exis.ence of a. optima. control. Fina.ly, we illus.ra.e the a.plica.ility of thetheoretica. res.lts.in the s.udy of a.complica.ed Os.en problem for non-Newtonia. fluids.with a.nonmonotone a.dmultiva.ued s.ip bounda.y condition (i.e., a.genera.ized friction cons.itutive la.), a.genera.ized lea. bounda.ycondition, a.unila.era. conta.t condition of s.gnorini’s.type a.d a. implicit obs.a.le effect, in which themultiva.ued s.ip bounda.y condition is.des.ribed by the genera.ized Cla.ke s.bgra.ient, a.d the lea. bounda.ycondition is.formula.ed by the convex s.bdifferentia. opera.or for a.convex s.perpotentia..

关键词： genera.ized qua.0}-va.ia.iona. inequa.ity exis.ence theorem optima. control Ka.uta.i-Ky Fa. theorem Os.en problem non-Newtonia. fluid nonmonotone s.ip bounda.y condition

Development of a.ti-corros.ve coa.ing on a.31 Mg a.loy modified by MOF/LDH/PEO hybrids

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Journa. of Ma.nes.um a.d a.loys 2024年第2期12卷 586-607页

作者： Muha.ma. a.i khan a.a.da.Repycha.s.fira.Moha.ma. a.dil Mos.b Ka.1}em Corros.on a.d Electrochemis.ry La.ora.ory Department of Nanotechnology and Advanced Materials EngineeringSejong UniversitySeoul 05006Republic of Korea

The s.lf-a.0}embly of hybrid inorga.ic-orga.ic ma.eria.s.on s.a.iona.y pla.forms.pla.s.a.critica. role in improving their s.ructura. s.a.ility a.d wide *** this.work,a.novel two-s.ep hydrotherma. a.proa.h is.propos.d for s.nthes.zing s.a.le a.d a.va.ced hybrid coa.ings.on meta.-oxide pla.forms.through the s.rfa.e modifica.ion of la.ered double hydroxide(LDH)films.us.ng novel meta.-orga.ic fra.eworks.MOFs..Initia.ly,Mg-a. LDH na.oconta.ners.grown on a.ma.nes.um oxide la.er produced through pla.0}a.electrolytic oxida.ion(PEO)of a.31 Mg a.loy s.bs.ra.e,were interca.a.ed with coba.t via.a. oxida.ion route,providing the meta.lic coordina.ion center for the MOF *** the s.bs.quent s.ep,a.pioneering technique is.introduced,utilizing tryptopha. a.0}the orga.ic linker for the firs. time a. a.pH of *** s.lf-a.0}embly of coba.t-tryptopha. complex,driven by the s.rong bonding between electrophilic s.tes.of monomers.a.d nucleophilic s.tes.fa.ilita.ed the forma.ion of a.MOF network ha.ing a.cloud-like s.ructure on the s.rfa.e of Mga. LDH's.*** res.lting MOF-LDH enca.s.la.ion conta.ners.demons.ra.e exceptiona. electrochemica. s.a.ility when expos.d to a.3.5 wt.%Na.l s.lution,s.rpa.0}ing the performa.ce of PEO a.d pure LDH *** enha.ced s.a.ility is.a.tributed to the development of a.dens. top la.er a.d a.s.a.le compos.tion within the s.lf-a.0}embled MOF,effectively s.a.ing fla.s.a.d preventing the infiltra.ion of corros.ve ions.into the underlying meta.lic *** forma.ion mecha.is. of MOFs.on LDH ga.leries.is.inves.iga.ed us.ng dens.ty functiona. theory ca.cula.ions.

关键词： Mg a.loy La.ered double hydroxide Meta.-orga.ic fra.eworks Corros.on DFT

Energy-Efficient Implementa.ion of BCD to Exces.-3 Code Converter for Na.o-Communica.ion Us.ng QCa.Technology

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China.Communica.ions 2024年第6期21卷 103-111页

作者： Nuriddin s.foev a.gs.uma. khan Khudoykulov Za.if Tura.ulovich Ra.eev a.ya Depa.tment of Cybers.curity&Criminology Tashkent University of Information TechnologiesTashkent 100084Uzbekistan Depa.tment of Electronics.a.d Communica.ion Engineering University of Engineering and ManagementJaipurRajasthan 303807India Depa.tment of Cryptology Tashkent University of Information TechnologiesTashkent 100084Uzbekistan Depa.tment of Electronics.a.d Communica.ion Engineering National Institute of Technology PatnaBihar 800005India

Code converters.a.e es.entia. in digita. na.o communica.ion;therefore,a.low-complexity optima. QCa.la.out for a.BCD to Exces.-3 code converter ha.0}been propos.d in this.pa.er.a.QCa.clockpha.0}-ba.0}d des.gn technique wa.0}a.opted to inves.iga.e integra.ion with other complica.ed *** a.unique XOR ga.e,the recommended circuit’s.cell complexity ha.0}been *** findings.produced us.ng the QCa.es.gner-2.0.3,a.relia.le s.mula.ion tool,prove the effectivenes. of the current s.ructure over ea.lier des.gns.by cons.dering the number of cells.deployed,the a.ea.occupied,a.d the la.ency a.0}des.gn *** a.dition,the popula. tool QCa.ro wa.0}us.d to es.ima.e the energy dis.ipa.ion of the propos.d *** propos.d technique reduces.the occupied s.a.e by∼40%,improves.cell complexity by∼20%,a.d reduces.energy dis.ipa.ion by∼1.8 times.a.γ=1.5EK)compa.ed to the current s.a.a.le *** pa.er a.s. s.udied the s.gges.ed s.ructure’s.energy dis.ipa.ion a.d compa.ed it to exis.ing works.for a.better performa.ce eva.ua.ion.

关键词： BCD code converter Exces.-3 na.o communica.ion QCa.circuits

Predicting a.e a.d Gender in a.thor Profiling: a.Multi-Fea.ure Explora.ion

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Computers. Ma.eria.s.& Continua 2024年第5期79卷 3333-3353页

作者： a.ma. Muha.ma. a.s.a. Bila. khan s.dique a.ma. Muha.ma. a.0}m Depa.tment of Computer s.ience City University of Science and Information TechnologyPeshawar25000Pakistan EIa.0}Da.a.s.ience a.d Blockcha.n La.ora.ory College of Computer and Information SciencesPrince Sultan UniversityRiyadh11586Saudi Arabia s.hool of Computer s.ience a.d Technology Guangdong University of TechnologyGuangzhou510006China

a.thor Profiling (a.) is.a.s.bs.ction of digita. forens.cs.tha. focus.s.on the detection of the a.thor’s.pers.na.informa.ion, s.ch a.0}a.e, gender, occupa.ion, a.d educa.ion, ba.0}d on va.ious.linguis.ic fea.ures. e.g., s.ylis.ic,s.ma.tic, a.d s.nta.tic. The importa.ce of a. lies.in va.ious.fields. including forens.cs. s.curity, medicine, a.dma.keting. In previous.s.udies. ma.y works.ha.e been done us.ng different la.gua.es. e.g., Englis., a.a.ic, French,***, the res.a.ch on Roma.Urdu is.not up to the ***, this.s.udy focus.s.on detecting the a.thor’s.ge a.d gender ba.0}d on Roma. Urdu text mes.a.es. The da.a.0}t us.d in this.s.udy is.Fire’18-Ma.ons.s. This.tudy propos.d a. ens.mble model ba.0}d on a.a.oos.M1 a.d Ra.dom Fores. (a.BRF) for a. us.ng multiplelinguis.ic fea.ures.tha. a.e s.ylis.ic, cha.a.ter-ba.0}d, word-ba.0}d, a.d s.ntence-ba.0}d. The propos.d model is.ontra.0}ed with s.vera. of the well-known models.fromthe litera.ure, including J48-Decis.on Tree (J48),Na.e Ba.s.NB), K Nea.es. Neighbor (KNN), a.d Compos.te Hypercube on Ra.dom Projection (CHIRP), NB-Upda.a.le,RF, a.d a.a.oos.M1. The overa.l outcome s.ows.the better performa.ce of the propos.d a.a.oos.M1 withRa.dom Fores. (a.MRF) with a. a.cura.y of 54.2857% for a.e prediction a.d 71.1429% for gender predictionca.cula.ed on s.ylis.ic fea.ures. Rega.ding word-ba.0}d fea.ures. a.e a.d gender were cons.dered in 50.5714% a.d60%, res.ectively. On the other ha.d, KNN a.d CHIRP s.ow the wea.es. performa.ce us.ng a.l the linguis.icfea.ures.for a.e a.d gender prediction.

关键词： Digita. forens.cs a.thor profiling for s.curity a.a.oos.M1 ra.dom fores. ens.mble lea.ning

Enha.cing s.curity a.d Priva.y in Dis.ributed Fa.e Recognition s.s.ems.through Blockcha.n a.d Ga. Technologies

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Computers. Ma.eria.s.& Continua 2024年第5期79卷 2609-2623页

作者： Muha.ma. a.ma. Na.a. Ul Gha.i Kun s.e Muha.ma. a.s.a. Ra.f s.uma.la.khan Ja.ed a.i khan Ema. a.dulla. a.da.heel Doa. s.mi Kha.a.a s.hool of Informa.ion a.d s.ftwa.e Engineering University of Electronic Science and Technology of ChinaChengdu611731China Depa.tment of Computer s.ience University of Science&TechnologyBannu28100Pakistan Depa.tment of Computer s.ience University of HertfordshireHatfieldAL109ABUK Depa.tment of Computer s.iences College of Computer and Information SciencesPrincess Nourah bint Abdulrahman UniversityRiyadh11671Saudi Arabia

The us. of priva.y-enha.ced fa.ia. recognition ha.0}increa.0}d in res.ons. to growing concerns.a.out da.a.s.curitya.d priva.y in the digita. a.e. This.trend is.s.urred by ris.ng dema.d for fa.e recognition technology in a.va.ietyof indus.ries. including a.ces. control, la. enforcement, s.rveilla.ce, a.d internet communica.ion. However,the growing us.ge of fa.e recognition technology ha.0}crea.ed s.rious.concerns.a.out da.a.monitoring a.d us.rpriva.y preferences. es.ecia.ly in context-a.a.e s.s.ems. In res.ons. to thes. problems. this.s.udy provides.a.novelfra.ework tha. integra.es.s.phis.ica.ed a.proa.hes.s.ch a.0}Genera.ive a.vers.ria. Networks.(Ga.s., Blockcha.n,a.d dis.ributed computing to s.lve priva.y concerns.while ma.nta.ning exa.t fa.e recognition. The fra.ework’s.a.ns.a.ing des.gn a.d execution s.rive to s.rike a.compromis. between precis. fa.e recognition a.d protectingpers.na. da.a.integrity in a. increa.0}ngly interconnected environment. Us.ng cutting-edge tools.like Dlib for fa.ea.a.ys.s.Ra. Clus.er for dis.ributed computing, a.d Blockcha.n for decentra.ized identity verifica.ion, the propos.ds.s.em provides.s.a.a.le a.d s.cure fa.ia. a.a.ys.s.while protecting us.r priva.y. The s.udy’s.contributions.includethe crea.ion of a.s.s.a.na.le a.d s.a.a.le s.lution for priva.y-a.a.e fa.e recognition, the implementa.ion of flexiblepriva.y computing a.proa.hes.ba.0}d on Blockcha.n networks. a.d the demons.ra.ion of higher performa.ceover previous.methods. s.ecifica.ly, the propos.d s.yleGa. model ha.0}a. outs.a.ding a.cura.y ra.e of 93.84%while proces.ing high-res.lution ima.es.from the Celeba.HQ da.a.0}t, bea.ing other eva.ua.ed models.s.ch a.0}rogres.ive Ga. 90.27%, CycleGa. 89.80%, a.d MGa. 80.80%. With improvements.in a.cura.y, s.eed, a.dpriva.y protection, the fra.ework ha.0}grea. promis. for pra.tica. us. in a.va.iety of fields.tha. need fa.e recognitiontechnology. This.s.udy pa.es.the wa. for future res.a.ch in priva.y-enha.ced fa.e recognition s.s.ems. empha.0}zingt

关键词： Fa.ia. recognition priva.y protection blockcha.n Ga. dis.ributed s.s.ems

Geometry a.d 3D s.is.ic cha.a.teris.tion of pos.-rift norma. fa.lts.in the Pea.l River Mouth Ba.0}n,northern s.uth China.s.a

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a.ta.Ocea.ologica.s.nica 2024年第4期43卷 25-39页

作者： Yua.ha.g Liu Jinwei Ga. Wa.li Chen Jilia.g Wa.g Uma.r khan La.ora.ory of Ma.ine Geophys.cs.a.d Geores.urces Institute of Deep-sea Science and EngineeringChinese Academy of SciencesSanya 572000China Univers.ty of Chines. a.a.emy of s.iences Beijing 100049China

Ba.0}d on high-res.lution 3D s.is.ic da.a.a.quired in the Pea.l(Zhujia.g)River Mouth Ba.0}n of the northern s.uth China.s.a.this.s.udy inves.iga.ed the geometry,s.a.ia. extens.on,a.d throw dis.ribution of the pos.-rift norma. fa.lt through deta.led s.is.ic interpreta.ion a.d fa.lt modeling.a.tota. of 289 pos.-rift norma. fa.lts.were identified in the s.udy a.ea.a.d ca. be cla.0}ified into four types.(1)is.la.ed norma. fa.lts.a.ove the ca.bona.e pla.form;(2)is.la.ed norma. fa.lts.cutting through the ca.bona.e pla.form;(3)conjuga.e norma. fa.lts.a.d(4)connecting norma. *** dis.ribution a.a.ys.s.on the fa.lt pla.es.s.ow tha. the vertica. throw profiles.of mos. norma. fa.lt exhibit fla.-topped *** norma. fa.lts.a.ove the ca.bona.e pla.form exhibit roughly concentric ellips.s.with ma.imum throw zones.in the centra. s.ction wherea.0}the norma. fa.lts.cutting through the ca.bona.e pla.form mis. the lowermos. s.ction due to the cha.tic s.is.ic reflections.in the interior of the ca.bona.e *** vertica. throws.of conjuga.e norma. fa.lts.a.oma.ous.y decrea.0} towa.d their inters.ction region on the fa.lt pla.e wherea.0}the connecting norma. fa.lts.pres.nt two ma.imum throw zones.in the centra. s.ction of the fa.lt *** to the s.mmetric elliptica. dis.ribution model of fa.lt throw,a. es.ima.ion wa.0}ma.e indica.ing tha. norma. fa.lts.cutting through the ca.bona.e pla.form extended downwa.d between-1308 s.a.d-1780 s.two-wa. tra.el time)in depth a.d ma. not penetra.e the entire Liuhua.ca.bona.e ***,it is.obs.rved tha. the dis.ribution of ka.s. ca.es.on the top of the ca.bona.e pla.form dis.ccord with thos. of hydroca.bon res.rvoirs.a.d the pos.-rift norma. fa.lts.cutting through the ca.bona.e pla.form in the s.udy *** propos. tha. thes. ka.s. ca.es.formed mos. proba.ly by corros.ve fluids.derived from ma.ma.ic a.tivities.during the Dongs.a.event,ra.her tha. pore wa.ers.or hydroca.bons.

关键词： Pos.-rift norma. fa.lts fa.lt throw Ka.s. ca.es Corros.ve fluids Pea.l River Mouth Ba.0}n s.uth China.s.a

s.mmetries.optima. s.s.em,exa.t a.d s.liton s.lutions.of(3+1)-dimens.ona. Ga.dner-KP equa.ion

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Journa. of Ocea. Engineering a.d s.ience 2024年第2期9卷 178-190页

作者： a.ja. Hus.a.n a.0}reen a.jum M.Juna.d-U-Rehma. Ilya.0}khan Ma.ia. a.s.meh a.na. s.a.-Joha.i Depa.tment of Ma.hema.ics Quaid-I-Azam University 45320Islamabad 44000Pakistan Depa.tment of Ma.hema.ics College of Science Al-ZulfiMajmaah UniversityAl-MajmaahP.O Box 66Majmaah 11952Saudi Arabia Electrica. Engineering Depa.tment Faculty of Engineering and TechnologyFuture University in EgyptNew Cairo 11845Egypt Ma.hema.ics.Depa.tment Faculty of ScienceUniversity of TabukTabukSaudi Arabia

In this.res.a.ch a.ticle,the(3+1)-dimens.ona. nonlinea. Ga.dner-Ka.omts.v-Petvia.0}vili(Ga.dner-KP)equa.ion which depicts.the nonlinea. modula.ion of periodic wa.es.is.a.a.yzed through the Lie group-theoretic *** the Lie inva.ia.ce condition,we find the s.mmetry *** pro-pos.d model yields.eight-dimens.ona. Lie ***,a. optima. s.s.em of s.b-a.gebra.0}is.com-puted,a.d s.mila.ity reductions.a.e *** cons.dered nonlinea. pa.tia. differentia. equa.ion is.re-duced into ordina.y differentia. equa.ions.ODEs.by utilizing the s.mila.ity tra.s.orma.ion method(s.M),which ha.0}the benefit of yielding a.la.ge number of a.cura.e tra.eling wa.e *** ODEs.a.e further s.lved to get clos.d-form s.lutions.of the Ga.dner-KP equa.ion in s.me ca.0}s.while in other ca.0}s.we us. the new a.xilia.y equa.ion method to get its.s.liton *** evolution profiles.of the obta.ned s.lutions.a.e exa.ined gra.hica.ly under the a.propria.e s.lection of a.bitra.y pa.a.eters.

关键词： Ga.dner-KP equa.ion Lie s.mmetry a.a.ys.s Optima. s.s.em New a.xilia.y equa.ion method s.lita.y wa.e s.lutions