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a.a.ytica. Soliton-Like Solutions to Nonlinea. Dira. Equa.ion of Spinor Field in Spherica. Symmetric Metric

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Journa. of High Energy Physics, Gra.ita.ion a.d Cosmology 2020年第4期6卷 623-639页

作者： Jona. Edou Va.erie I. S. Hontinfinde a. adomou Sia.a.Ma.sou Depa.tment of Theoretica. Physics a.d Ma.hema.ics Laboratory of Physics Mathematics and Theoretical Physics University of Abomey-Calavi Abomey-Calavi Benin Na.iona. Higher School of Ma.hema.ica. Engineering a.d Modeling National University of Sciences Technology Engineering and Mathematics of Abomey Abomey Benin Na.iona. Higher Institute of Industria. Technology INSTI-Lokossa National University of Sciences Technology Engineering and Mathematics of Abomey Abomey Benin

The present resea.ch work dea.s with a. extension of a.previous work entitled [Exa.t Soliton-like spherica. symmetric solutions of the Heisenberg-Iva.enko type nonlinea. spinor field equa.ion in gra.ita.iona. theory, Journa. of a.plied Ma.hema.ics a.d Physics, 2020, 8, 1236-1254] to a.a.ytica. Soliton-Like Solutions to Nonlinea. Dira. Equa.ion of Spinor Field in Spherica. Symmetric Metric. The nonlinea. terms in the La.ra.gia. density a.e functions of the inva.ia.t a.t="" />. Equa.ions with power a.d polynomia. nonlinea.ities a.e thoroughly scrutinized. It is shown tha. soliton is responsible for the deforma.ion in the metric a.d hence in the geometry a. well a. gra.ita.iona. field. The role of nonlinea.ity a.d the influence of the proper gra.ita.iona. field of the elementa.y pa.ticles a.e a.so exa.ined. The considera.ion of the nonlinea. terms in the spinor La.ra.gia., the own gra.ita.iona. field of elementa.y pa.ticles a.d the geometrica. properties of the metric a.e necessa.y a.d sufficient conditions in order to obta.n soliton-like solutions with tota. cha.ge a.d tota. spin in genera. rela.ivity.

关键词： La.ra.gia. Gra.ita.ionna. Field Fla. Spa.e-Time

Exa.t Soliton-Like Spherica. Symmetric Solutions of the Heisenberg-Iva.enko Type Nonlinea. Spinor Field Equa.ion in Gra.ita.iona. Theory

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Journa. of a.plied Ma.hema.ics a.d Physics 2020年第7期8卷 1236-1254页

作者： a. adomou Jona. Edou Va.erie I. S. Hontinfinde Sia.a.Ma.sou Depa.tment of Theoretica. Physics a.d Ma.hema.ics Laboratory of Physics Mathematics and Theoretical Physics University of Abomey-Calavi Abomey-Calavi Benin Na.iona. Higher Institute of Industria. Technology INSTI-Lokossa National University of Sciences Technology Engineering and Mathematics of Abomey Abomey Benin

In the present resea.ch work, we ha.e obta.ned the exa.t spherica. symmetric solutions of Heisenberg-Iva.enko nonlinea. spinor field equa.ions in the Gra.ita.iona. Theory. The nonlinea.ity in the spinor La.ra.gia. is given by a. a.bitra.y function which depends on the inva.ia.t genera.ed from the bilinea. spinor form Is = S2. We a.mit the sta.ic spherica. symmetric metric. It is shown tha. a.soliton-like configura.ion ha. a.loca.ized energy density a.d a.finite tota. energy. In a.dition, The tota. cha.ge a.d tota. spin a.e a.so finite. Role of the metric i.e. the proper gra.ita.iona. field of elementa.y pa.ticles in the forma.ion of the field configura.ions with limited tota. energy, spin a.d cha.ge ha. been exa.ined by solving the field equa.ions in fla. spa.e-time. It ha. been esta.lished tha. the obta.ned solutions a.e soliton-like configura.ion with bounded energy density a.d finite tota. energy. In order to cla.ify the role of the nonlinea.ity in this model, we ha.e obta.ned exa.t sta.ica. symmetric solutions to the a.ove spinor field equa.ions in the linea. ca.e corresponding to Dira.’s linea. equa.ion. It is proved tha. soliton-like solutions a.e a.sent.

关键词： La.ra.gia. Spherica. Symmetric Metric Soliton-Like Solution Fla. Spa.e-Time

Nonlinea. Spinor Field Equa.ions in Gra.ita.iona. Theory: Spherica. Symmetric Soliton-Like Solutions

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Journa. of Modern Physics 2012年第9期3卷 935-942页

作者： V. a.a.hounme a. adomou F. P. Codo M. N. Hounkonnou University of a.omey-Ca.a.i Mathematical Physics and Applications (ICMPA-UNESCO) Cotonou Republic of Benin

This pa.er dea.s with a. extension of a.previous work [Gra.ita.ion & Cosmology, Vol. 4, 1998, pp 107-113] to exa.t spherica. symmetric solutions to the spinor field equa.ions with nonlinea. terms which a.e a.bitra.y functions of S=ψψ, ta.ing into a.count their own gra.ita.iona. field. Equa.ions with power a.d polynomia. nonlinea.ities a.e studied in deta.l. It is shown tha. the initia. set of the Einstein a.d spinor field equa.ions with a.power nonlinea.ity ha. regula. solutions with spinor field loca.ized energy a.d cha.ge densities. The tota. energy a.d cha.ge a.e finite. Besides, exa.t solutions, including soliton-like solutions, to the spinor field equa.ions a.e a.so obta.ned in fla. spa.e-time.

关键词： La.ra.gia. Sta.ic Spherica. Symmetric Metric Field Equa.ions Einstein Equa.ions Dira. Equa.ion Energy-Momentum Tensor Cha.ge Density Current Vector Soliton-Like Solution

Soliton-Like Spherica. Symmetric Solutions of the Nonlinea. Spinor Field Equa.ions Depending on the Inva.ia.t Function IP=P2in the Genera. Rela.ivity Theory

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Journa. of a.plied Ma.hema.ics a.d Physics 2019年第11期7卷 2818-2835页

作者： a.adomou Jona. Edou Sia.a.Ma.sou Depa.tment of Theoretica. Physics a.d Ma.hema.ics University of Abomey-CalaviAbomey-CalaviBenin Na.iona. Superior Institute of Industria. Technology INSTI-LokossaNational University of SciencesTechnologyEngineering and Mathematics of AbomeyAbomeyBenin

The present resea.ch work is considered a. pa.t II of the previous work entitled [Pla.e Symmetric Solutions to the Nonlinea. Spinor Field Equa.ions in Genera. Rela.ivity Theory, jmp, 2019, 10, 1222-1234]. Here, we opt for the sta.ic spherica. symmetric metric. In this metric, we ha.e obta.ned spherica. symmetric soliton-like solutions to the spinor field equa.ions with nonlinea. terms, which a.e a.bitra.y functions of , ta.ing into a.count the proper gra.ita.iona. field of elementa.y pa.ticles. Equa.ions with power a.d polynomia. nonlinea.ities a.e investiga.ed in deta.l. It is shown tha. the initia. set of the Einstein a.d spinor field equa.ions with a.power-la. nonlinea.ity possess regula. solutions with a.loca.ized energy density of the spinor field only if we consider ma.sless pa.ticle without losing the genera.ity (m = 0). In this ca.e, a.soliton-like configura.ion ha. nega.ive energy. In order to define the role of the nonlinea.ity a.d the own gra.ita.iona. field of the elementa.y pa.ticles in this model, we ha.e obta.ned exa.t sta.ic symmetric solutions to the a.ove spinor field equa.ions in the linea. ca.e by considering Dira.’s equa.ions a.d in fla. spa.e-time. It is proved tha. soliton-like solutions a.e a.sent in the linea. ca.e. But in fla. spa.e-time soliton-like configura.ions exist a.d ha.e positive tota. energy.

关键词： La.ra.gia. Spherica. Symmetric Metric Soliton-Like Solution

Spherica. Symmetric Solitons of Intera.ting Spinor, Sca.a. a.d Gra.ita.iona. Fields in Genera. Rela.ivity

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Journa. of High Energy Physics, Gra.ita.ion a.d Cosmology 2021年第1期7卷 52-65页

作者： Jona. Edou a.a.n adomou Sia.a.Ma.sou Depa.tment of Theoretica. Physics a.d Ma.hema.ics Laboratory of Physics Mathematics and Theoretical Physics University of Abomey-Calavi Abomey-Calavi Benin Na.iona. Higher Institute of Industria. Technology INSTI-Lokossa National University of Sciences Technology Engineering and Mathematics of Abomey Abomey Benin

The concept of soliton a. regula. loca.ized sta.le solutions of nonlinea. differentia. equa.ions is being widely utilized in pure science for va.ious a.ms. In present a.a.ysis, the soliton concept is used a. a.model in order to describe the configura.ions of elementa.y pa.ticles in genera. rela.ivity. To this end, our study dea.s with the spherica. symmetric solitons of intera.ting Spinor, Sca.a. a.d Gra.ita.iona. Fields in Genera. Rela.ivity. Thus, exa.t spherica. symmetric genera. solutions to the intera.tion of spinor, sca.a. a.d gra.ita.iona. field equa.ions ha.e been obta.ned. The Einstein equa.ions ha.e been tra.sformed into a.Liouville equa.ion type a.d solved. Let us empha.ize tha. these solutions a.e regula. with loca.ized energy density a.d finite tota. energy. In a.dition, the tota. cha.ge a.d spin a.e limited. Moreover, the obta.ned solutions a.e soliton-like solutions. These solutions ca. be used in order to describe the configura.ions of elementa.y pa.ticles.

关键词： Liouville Type Equa.ion Elementa.y Pa.ticles Einstein’s Equa.ions Metric Functions

Pure Condition of Both 6R Seria. a.d 3-PRS Pa.a.lel Robots Using Gra.sma.n-Ca.ley a.gebra

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Modern Mecha.ica. Engineering 2018年第4期8卷 233-248页

作者： Luc Djimon Clément a.onde a.a.n adomou Tognon Clotilde Guidi Dépa.tement du Génie Industriel et Ma.ntena.ce (GIM) Institut Universitaire de Technologie (IUT) de Lokossa Université Nationale des Sciences Technologies Ingénierie et Mathématiques (UNSTIM) d’Abomey Benin Institut Universita.re de Technologie (IUT) de Lokossa Université Nationale des Sciences Technologies Ingénierie et Mathématiques (UNSTIM) d’Abomey Benin

This resea.ch presents Pure Condition a.proa.h, which ha. used in a.a.yzing simulta.eously the singula.ity configura.ion a.d the rigidity of mecha.ism. The study ca.es a.a.ysis is implemented on va.ia.le joints orienta.ion of 6R (Revolute) Seria. Ma.ipula.ors (SMs) a.d va.ia.le a.tua.ed joints position of 3-PRS (Prisma.ic-Revolute-Spherica.) Pa.a.lel Ma.ipula.ors (PMs) using Gra.sma.n-Ca.ley a.gebra.(GCa.. In this work we require in Projective Spa.e both Twist System (TS) a.d Globa. Wrench System (GWS) respectively for seria. a.d pa.a.lel ma.ipula.ors which represent the Ja.obia. Ma.rix (J) in symbolic a.proa.h to Plücker coordina.e vector of lines a.d unify fra.ework on sta.ic a.d kinema.ics respectively. This pa.er, works, is designed to determine geometrica.ly a. symbolic level the va.ished points of inverse form of this Ja.obia. Ma.rix (J) which ca.led superbra.ket in GCa. The investiga.ion va.y to those reported ea.ly by introducing GCa.a.proa.h on the singula.ity of seria. robot, va.ia.le joints orienta.ion a.d a.tua.ed positions on robot ma.ipula.ors (RMs) to a.a.yze rigidity fra.e work a.d singula.ity configura.ion which involve simulta.eously Pure Condition. a.d the results a.so revea.ed a.single singula.ity condition which conta.ns a.l pa.ticula.s ca.es a.d three genera. ca.es such a. the shoulder, elbow a.d wrist singula.ity for SMs while double, single a.d undermined singula.ities respectively for 3-PRS, 3-PRS a.d 3-PRS PMs which conta.n a.l genera.s a.d pa.ticula.s ca.es.

关键词： Pure Condition 6R SMs 3-PRS PMs Superbra.kets GCA

Community Perception of Ripa.ia. Corridors Ecosystem Services a.d Implica.ions for Environmenta. Educa.ion in Upper Oueme Ca.chment in Benin, West a.rica

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Open Journa. of Ecology 2024年第2期14卷 125-147页

作者： Socra.e Merca.or Dossou Kinnoumè Serge adomou Géra.d Nouna.non Gouwa.innou Thierry Dèhouégnon Houéha.ou La.ora.ory of Ecology Botany and Plant Biology Faculty of Agronomy University of Parakou Parakou Republic of Benin

The a.sessment of the loca. community perception of the va.ue of ripa.ia. corridors is releva.t to understa.d their a.titude towa.ds the conserva.ion of such ecosystem. We conducted a.semi-structured survey on the perception a.d importa.ce a.tributed to the ecosystem services (ESs) provided by ripa.ia. corridors in 368 households a.ross 70 villa.es loca.ed in a.buffer zone of 5 km of servitude a.ound the perma.ent rivers of the Upper Oueme wa.ershed in Benin. We found tha. loca. communities ea.ily reported provisioning a.d cultura. ESs tha. regula.ing a.d supporting ones, indica.ing their misundersta.ding of the ma.n role of ripa.ia. corridor. Moreover, the supply of cropping a.ea. wa. perceived a. the most importa.t ES. Educa.ed respondents a.d high-income households ha. more knowledge of regula.ing ESs a.d supporting ESs, respectively. Overa.l, the highly perceived importa.ce of the provision of cropping a.ea. indica.es a.potentia. risk of a.ricultura. encroa.hment of ripa.ia. corridors. We suggest the considera.ion of the current loca. perception of ripa.ia. corridor’s role in designing a.sound environmenta. educa.ion a.ming a. the cha.ge of loca. popula.ion’s perception. This perception shift will promote a.susta.na.le ma.a.ement of the ripa.ia. corridors.

关键词： Loca. Knowledge Direct Use Va.ue Soil Forma.ion Migra.ion Importa.ce Va.ue Benin

Exa.t Sta.ic Pla.e Symmetric Soliton-Like Solutions to the Nonlinea. Intera.ting Electroma.netic a.d Sca.a. Field Equa.ions in Genera. Rela.ivity

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Journa. of High Energy Physics, Gra.ita.ion a.d Cosmology 2022年第1期8卷 164-177页

作者： a.na.d Edoua.d Ya.a.ja.o a.a.n adomou Yélomè J. F. Kpoma.ou Jona. Edou Sia.a.Ma.sou Depa.tment of Physics University of Abomey-Calavi Abomey-Calavi Benin Depa.tment of Industria. a.d Technica. Sciences ENSET-Lokossa UNSTIM-Abomey Abomey Benin Na.iona. Higher Institute of Industria. Technology National University of Sciences Technologies Engineering and Mathematics of Abomey UNSTIM Abomey Benin

This resea.ch work is rela.ed to soliton solutions considered a. models tha. ca. describe the complex configura.ion of elementa.y pa.ticles from the study of the intera.tions of their fields. It is interested in the intera.tion of fields between two different elementa.y pa.ticles by expressing their physica. properties. For tha., we ha.e obta.ned, exa.t sta.ic pla.e symmetric soliton-like solutions to the nonlinea. equa.ions of intera.ting electroma.netic a.d sca.a. fields ta.ing into a.count the own gra.ita.iona. field of elementa.y pa.ticles using the ca.ibra.ed inva.ia.ce function P(I). It ha. been proved tha. a.l solutions of the Einstein, nonlinea. electroma.netic a.d sca.a. field equa.ions a.e regula. with the loca.ized energy density. Moreover, the tota. cha.ge of pa.ticles is finite a.d the tota. energy of the intera.tion fields is bounded. It ha.e been empha.ized the importa.ce to the own gra.ita.iona. field of elementa.y pa.ticles a.d the role of the nonlinea.ity of fields in the determina.ion of these solutions. In fla. spa.e-time, soliton-like solutions exist but the tota. energy of the intera.tion fields is equa. to zero. We ha.e a.so shown tha. in the linea. ca.e, soliton-like solutions a.e a.sent.

关键词： Sca.a. Electroma.netic Gra.ita.iona. Fields Intera.tion’s Description of Elementa.y Pa.ticles

Soliton-Like Spherica. Symmetric Solutions to the Electroma.netic a.d Sca.a. Nonlinea. Induction Field Equa.ions in the Genera. Rela.ivity Theory

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Journa. of High Energy Physics, Gra.ita.ion a.d Cosmology 2022年第1期8卷 147-163页

作者： a.na.d E. Ya.a.ja.o a.a.n adomou Yélomè J. F. Kpoma.ou Jona. Edou Sia.a.Ma.sou Depa.tment of Physics University of Abomey-Calavi Abomey-Calavi Benin Depa.tment of Industria. a.d Technica. Sciences ENSET-Lokossa UNSTIM Abomey Benin 3Na.iona. Higher Institute of Industria. Technology National University of Sciences Technologies Engineering and Mathematics of Abomey UNSTIM Abomey Benin

In this pa.er, we ha.e used the sta.ic spherica. symmetric metric. The pa.a.eter of the nonlinea.ity fields is included in the a.bitra.y function cha.a.terizing the intera.tion between the electroma.netic a.d sca.a. fields. Ta.ing into a.count the own gra.ita.iona. field of elementa.y pa.ticles, we ha.e obta.ned exa.t sta.ic spherica. symmetric solutions to the electroma.netic a.d sca.a. field equa.ions of nonlinea. induction. Considering a.l forms of the solution of Liouville equa.ion, we proved tha. the metric functions a.e regula. with loca.ized energy density. Moreover, the tota. energy of the nonlinea. induction fields is bounded a.d the tota. cha.ge of the elementa.y pa.ticles ha. a.finite va.ue (soliton-like). In the fla. spa.e-time, soliton-like solutions exist.

关键词： Intera.tion Sca.a. Electroma.netic Gra.ita.iona. Fields Description Configura.ion Elementa.y Pa.ticles