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Dynamical rational solutions and their interaction phenomena for an extended nonlinear equation

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Communications in Theoretical Physics 2023年第3期75卷 1-11页

作者： Karmina K Ali abdullahi yusuf Wen-Xiu Ma Department of Mathematics University of ZakhoZakhoIraq Department of Computer Engineering Biruni UniversityIstanbulTurkey Department of Computer Science and Mathematics LebaneseAmerican UniversityBeirutLebanon Department of Mathematics and Statistics University of South FloridaTampaFL 33620United States of America Department of Mathematics Zhejiang Normal UniversityJinhua 321004China Department of Mathematics King Abdulaziz UniversityJeddah 21589Saudi Arabia School of Mathematical and Statistical Sciences North-West UniversityMafikeng CampusMmabatho 2735South Africa

In this paper,we analyze the extended Bogoyavlenskii-Kadomtsev-Petviashvili(eBKP)equation utilizing the condensed Hirota's *** accordance with a logarithmic derivative transform,we produce solutions for single,double,and triple M-lump ***,we investigate the interaction solutions of a single M-lump with a single soliton,a single M-lump with a double soliton,and a double M-lump with a single ***,we create sophisticated single,double,and triple complex soliton wave *** extended Bogoyavlenskii-Kadomtsev-Petviashvili equation describes nonlinear wave phenomena in fluid mechanics,plasma,and shallow water *** selecting appropriate values for the related free parameters we also create three-dimensional surfaces and associated counter plots to simulate the dynamical characteristics of the solutions offered.

关键词： simplified Hirota's method lump solution mixed solution complex multiple soliton eBKP equation

New physical structures and patterns to the optical solutions of the nonlinear Schrödinger equation with a higher dimension

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Communications in Theoretical Physics 2023年第8期75卷 25-41页

作者： Karmina K Ali abdullahi yusuf Marwan Alquran Sibel Tarla Department of Mathematics Faculty of ScienceUniversity of ZakhoZakhoIraq Department of Computer Science College of ScienceKnowledge UniversityErbil 44001Iraq Department of Computer Engineering Biruni UniversityIstanbulTurkey Department of Computer Science and Mathematics Lebanese American UniversityBeirutLebanon Department of Mathematics Near East University TRNCMersin 10Nicosia 99138Turkey Department of Mathematics and Statistics Jordan University of Science&TechnologyIrbid 22110Jordan Department of Mathematics Faculty of ScienceFirat UniversityElazigTurkey

It is commonly recognized that,despite current analytical approaches,many physical aspects of nonlinear models remain *** is critical to build more efficient integration methods to design and construct numerous other unknown solutions and physical attributes for the nonlinear models,as well as for the benefit of the largest audience *** achieve this goal,we propose a new extended unified auxiliary equation technique,a brand-new analytical method for solving nonlinear partial differential *** proposed method is applied to the nonlinear Schrödinger equation with a higher dimension in the anomalous *** interesting solutions have been ***,to shed more light on the features of the obtained solutions,the figures for some obtained solutions are *** propagation characteristics of the generated solutions are *** results show that the proper physical quantities and nonlinear wave qualities are connected to the parameter *** is worth noting that the new method is very effective and efficient,and it may be applied in the realisation of novel solutions.

关键词： exact solutions nonlinear Schrodinger equation new extended unified auxiliary equation method Jacobi elliptic functions

Breather waves, analytical solutions and conservation laws using Lie–Bäcklund symmetries to the (2 + 1)-dimensional Chaffee–Infante equation

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Journal of Ocean Engineering and Science 2023年第2期8卷 145-151页

作者： abdullahi yusuf Tukur Abdulkadir Sulaiman Alrazi Abdeljabbar Marwan Alquran Department of Computer Engineering Biruni University IstanbulTurkey Faculty of Science Federal University DutseJigawaNigeria Department of Mathematics Khalifa University for Science and TechnologyAbu DhabiUAE Department of Mathematics and Statistics Jordan University of Science and TechnologyIrbidJordan

The(2+1)-dimensional Chaffee–Infante has a wide range of applications in science and engineering,including nonlinear fiber optics,electromagnetic field waves,signal processing through optical fibers,plasma physics,coastal engineering,fluid dynamics and is particularly useful for modeling ion-acoustic waves in plasma and sound *** this paper,this equation is investigated and analyzed using two effective *** well-known tanh-coth and sine-cosine function schemes are employed to establish analytical solutions for the equation under *** breather wave solutions are derived using the Cole–Hopf *** addition,by means of new conservation theorem,we construct conservation laws(CLs)for the governing equation by means of Lie–Bäcklund *** novel characteristics for the(2+1)-dimensional Chaffee–Infante equation obtained in this work can be of great importance in nonlinear sciences and ocean engineering.

关键词： Extended tanh-coth method Sine-cosine function method Soliton solutions Breather wave solutions Conservation laws

Optical Solitons and Stability Analysis in Ring-Cavity Fiber System with CarbonNanotube as Saturable Absorber

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Communications in Theoretical Physics 2018年第11期69卷 511-514页

作者： Aliyu Isa Aliyu Mustafa Inc abdullahi yusuf Dumitru Baleanu Department of Mathematics Science FacultyFirat UniversityElazig 23000Turkey Department of Mathematics Science FacultyFederal University DutseJigawa 7156Nigeria Department of Mathematics Science FacultyCankaya UniversityAnkara 06010Turkey Institute of Space Sciences Magurele 077126Romania

This paper addresses the ring-cavity fiber laser system. A class of gray and black soliton solutions of the model are reported by adopting an appropriate envelope ansatz. Further more, the modulation instability (MI) of the equation is studied using the linear-stability analysis (LSA) technique and the MI gain spectrum is derived. Some physical interpretations and analysis of the results obtained are also presented.

关键词： complex envelope ansatz solution ring-cavity fiber laser system linear stability analysis opticalsolitons

Lump,its interaction phenomena and conservation laws to a nonlinear mathematical model

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Journal of Ocean Engineering and Science 2022年第4期7卷 363-371页

作者： abdullahi yusuf Tukur Abdulkadir Sulaiman Evren Hincal Dumitru Baleanu Department of Computer Engineering Biruni UniversityIstanbulTurkey Department of Mathematics Near East University TRNCMersin 10Turkey Department of Mathematics Federal University DutseJigawaNigeria Department of Mathematics Cankaya UniversityAnkaraTurkey Institute of Space Sciences MagureleBucharestRomania Department of Medical Research China Medical University HospitalChina Medical UniversityTaichungTaiwan

We solve the Ostrovsky equation in the absence of the rotation effect using the Hirota bilinear method and symbolic *** unique interaction phenomena have been obtained between lump so-lution,breather wave,periodic wave,kink soliton,and two-wave *** the obtained solutions are validated by putting them into the original problem using the Wolfram Mathematica *** physical characteristics of the solutions have been visually represented to shed additional light on the acquired ***,using the novel conservation theory,the conserved vectors of the governing equation have been *** discovered results are helpful in understanding particular physical phenomena in fluid dynamics as well as the dynamics of nonlinear higher dimensional wave fields in computational physics and ocean engineering and related disciplines.

关键词： Lump solution New interaction phenomena Breather waves Symmetry analysis Conservation laws

Lassa hemorrhagic fever model using new generalized Caputo-type fractional derivative operator

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International Journal of Modeling, Simulation, and Scientific Computing 2021年第6期12卷 129-149页

作者： Pushpendra Kumar Vedat Suat Erturk abdullahi yusuf Tukur Abdulkadir Sulaiman Department of Mathematics and Statistics School of Basic and Applied Sciences Central University of Punjab BathindaPunjab 151001India Department of Mathematics Ondokuz Mayis University Atakum 55200SamsunTurkey Department of Computer Engineering Biruni University Istanbul Turkey Department of Mathematics Science Faculty Federal University DutseJigawa 7156Nigeria

In some of the previous decades, we have observed that mathematical modeling hasbecome one of the most interesting research fields and has attracted many *** this regard, thousands of researchers have proposed different varieties of mathematicalmodels to study the dynamics of a number of real-world problems. This research workis framed to analyzing the structure of the well-known Lassa hemorrhagic epidemic;adangerous epidemic for pregnant women, via new generalized Caputo type nonintegerorder derivative with the help of a modified Predictor–Corrector scheme. Lassa hemorrhagic disease is an epidemical and biocidal fever, whose negative impacts were initiallyrecognized in the countries of Africa. This virus has killed many pregnant women ascompared to the Ebola epidemic. It was noticed that Lassa virus was isolated in Verocell cultures from a blood pattern, and after 12 days it was ejective, after the climb ofthe sickness. In this research study, necessary theorems and lemmas are reminded toprove the existence of a unique solution and stability of given fractional approximationscheme. All necessary results are reminded to confirm the effectiveness of the proposedapproximation algorithm by graphical observations for various fractional-order *** our practical calculations, we plotted the graphs for two different values of naturaldeath rate along with various values of given fractional-order operator. Our major target is to show the importance of the proposed modified version of the Predictor–Correctoralgorithm in epidemic studies by exploring the given Lassa hemorrhagic fever dynamics.

关键词： Lassa hemorrhagic fever epidemic mathematical model new generalized Caputo fractional derivatives predictor–corrector algorithm

New lump interaction complexitons to the(2+1)-dimensional Korteweg-de Vries equation with electrostatic wave potential in plasmas

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Journal of Ocean Engineering and Science 2024年第2期9卷 173-177页

作者： Tukur Abdulkadir Sulaiman abdullahi yusuf Alrazi Abdeljabbar Mustafa Bayram Department of Computer Engineering Biruni UniversityIstanbulTurkey Department of Mathematics Federal University DutseJigawaNigeria Department of Mathematics Near East University TRNCMersin 10Turkey Department of Mathematics Khalifa University for Science and TechnologyAbu DhabiUAE

A soliton is a packet of self-reinforcing waves that maintains its structure when moving at a constant *** are caused by the cancellation of the medium’s nonlinear and dispersive *** plas-mas,the bilinear form of Hirota will be utilized to investigate the(2+1)-dimensional Korteweg-de Vries equation with electrostatic wave *** for complexiton lump interaction have been *** throw further light on the physical qualities of the recorded data,certain 3-dimensional and contour plots are presented to illustrate the interaction elements of these solutions.

关键词： (2+1)-dimensional Korteweg-de Vries equation Multi waves solutions Brether waves solutions Numerical simulations

Two-wave,breather wave solutions and stability analysis to the(2+1)-dimensional Ito equation

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Journal of Ocean Engineering and Science 2022年第5期7卷 467-474页

作者： Tukur Abdulkadir Sulaiman abdullahi yusuf Evren Hincal Dumitru Baleanu Mustafa Bayram Department of Computer Engineering Biruni UniversityIstanbulTurkey Department of Mathematics Federal University DutseJigawaNigeria Department of Mathematics Near East University TRNCMersin 10Turkey Department of Mathematics Cankaya UniversityAnkaraTurkey Institute of Space Sciences MagureleBucharestRomania Department of Medical Research China Medical University HospitalChina Medical UniversityTaichungTaiwan

The current study employs the novel Hirota bilinear scheme to investigate the nonlinear ***,we acquire some two-wave and breather wave solutions to the governing *** are pulsating localized structures that have been used to mimic extreme waves in a variety of nonlinear dispersive media with a narrow banded starting *** recent investigations,on the other hand,imply that breathers can survive in more complex habitats,such as random seas,despite the attributed physical *** authenticity and genuineness of all the acquired solutions agreed with the original *** order to shed more light on these novel solutions,we plot the 3-dimensional and contour graphs to the reported solutions with some suitable *** governing model is also stable because of the idea of linear *** study’s findings may help explain the physics behind some of the challenges facing ocean engineers.

关键词： Governing model Scheme Two-waves and breather wave solution Stability analysis Hirota bilinear

Intestinal obstruction due to giant liver cyst:A case report

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World Journal of Clinical Cases 2023年第26期11卷 6246-6251页

作者： Adem Küçük Shukri Said Mohamed Abdishakur Mohamed Abdi abdullahi yusuf Ali Düzce University Faculty of Medicine Pediatric Surgery ClinicDüzce 81110MerkezTurkey Department of Pediatric Surgery Somali Mogadishu Training and Research HospitalMogadishu 0000000Somalia

BACKGROUND Congenital hepatic cysts are relatively rare but are now diagnosed earlier and more frequently with a routine prenatal *** liver cysts are divided into simple and solitary intrahepatic biliary cysts,depending on the biliary *** some solitary liver cysts are symptomatic in childhood,even in newborns,they are often found incidentally in *** SUMMARY A 3-mo-old female infant was admitted to Mogadishu Somali Training and Research Hospital with recurrent vomiting,respiratory problems,and abdominal bloating *** examination,the abdomen was greatly distended and extremely *** had repeated vomiting for 3 d,no stool output,and decreased *** abdominal ultrasonography detected a solitary cystic lesion measuring 10 cm×10 cm×14 cm,extending from the liver or right kidney to the *** the magnetic resonance imaging examination of the patient,a solitary cystic structure of 10 cm×10 cm×14 cm in the right abdomen was observed,extending to the pelvis and possibly originating from the *** patient was operated via fenestration after her fluid and electrolytes *** nutrition was initiated on the 2nd postoperative day,and the drain was removed on the 5th postoperative *** patient visited the outpatient clinic control 1 mo later with no clinical *** Congenital liver cysts are usually followed without *** rarely reach gigantic dimensions and may cause respiratory distress,intestinal obstruction and recurrent *** can provide quite successful outcomes in the treatment of giant sized simple liver cysts.

关键词： Congenital liver cyst Simple liver cyst Fenestration Pain Intestinal obstruction Case report