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Miscellaneous Rotating Solitary Waves to a Coupled Dispersionless System

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Chinese Physics Letters 2009年第9期26卷 61-64页

作者： kuetche k.mgang victor Ecole Nationale Superieure Polyteehnique University of Yaounde I PO Box 8390 Cameroon Department of Physics Faculty of Science University of Yaounde I PO Box. 812 Cameroon Higher Teacher's Training College of Maroua University of Maroua P.O. Box. 46 Cameroon The A bdus Salam International Centre for Theoretical Physics P.O. Box 586 Strada Costiera II-34014 Trieste Italy

We investigate the soliton structure of a coupled dispersionless system describing a current-conducting string with infinite length within a magnetic field. Thus, following Hirota＇s method, we unwrap three typical localized waves with nonzero angular momentum depending strongly upon their angular velocities. Illustrating the soliton behavior of these waves, we focus our interests on breather-lik. waves and depict the elastic scattering amongst such waves.

关键词： sea surface nonliear interaction numerical method

Generation of a New Coupled Ultra-Short Pulse System from a Group Theoretical Viewpoint: the Cartan Ehresman Connection

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Chinese Physics Letters 2012年第2期29卷 5-8页

作者： Saliou Youssoufa victor k.kuetche Timoleon C.k.fane National Advanced School of Engineering University of Yaounde IP.O.Box 8390Cameroon Department of Physics Faculty of ScienceUniversity of Yaounde IP.O.Box 812Cameroon

Based upon the group theoretical jet bundle formalism introduced by Wahlquist and Estabrook.for discussing the complete integrability of soliton systems,we investigate the prolongation structure of Wadati-k.nno-Ichik.wa isospectral evolution *** a result,we unearth a new physical coupled system entailing a hidden structural symmetry SL(3,R) arising in the description of ultra-short pulse propagation in optical nonlinear *** a matter of fact,we depict a graphical representation of one-breather and two-breather ultra-short pulses in motion with a non-zero angular *** extending the previous study to multidimensional symmetry SL(n,R),we unearth a more general class of multicomponent coupled nonlinear ultra-short pulse system with its associated inverse scattering formulation particularly useful in soliton theory.

关键词： theory soliton symmetry

On the Conversion of High-Frequency Soliton Solutions to a （1＋1）-Dimensional Nonlinear Partial Differential Evolution Equation

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Chinese Physics Letters 2008年第6期25卷 1972-1975页

作者： kuetche k.mgang victor Bouetou Bouetou Thomas Timoleon Crepin k.fane Department of Physics Faculty of Science University of Yaounde Ⅰ PO Box 812 Cameroon Ecole Nationale Supérieure Polytechnique University of Yaounde Ⅰ PO Box 8390 Cameroon The Abdus Salam International Centre for Theoretical Physics PO Box 586 Strada Costiera Ⅱ-34014 Trieste Italy

From the dynamical equation of barotropic relaxing media beneath pressure perturbations, and using the reductive perturbative analysis, we investigate the soliton structure of a （1＋1）-dimensional nonlinear partial differential evolution （NLPDE） equation δy（δη ＋ uδy ＋（u^2/2）δy）u ＋ auy ＋ u = 0, describing high-frequency regime of perturbations. Thus, by means of Hirota＇s bilinearization method, three typical solutions depending strongly upon a characteristic dissipation parameter are unearthed.

关键词： supernova explosion proto-neutron star shock.wave

On High-Frequency Soliton Solutions to a （2＋1）-Dimensional Nonlinear Partial Differential Evolution Equation

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Chinese Physics Letters 2008年第2期25卷 425-428页

作者： kuetche k.mgang victor Bouetou Bouetou Thomas Timoleon Crepin k.fane Department of Physics Faculty of Science University of Yaounde I PO Box. 812 Cameroon Ecole Nationale Supérieure Polytechnique University of Yaounde I PO Box. 8390 Cameroon The A bdus Salam International Centre for Theoretical Physics P.O. Box 586 Strada Costiera II-34014 Trieste Italy

A （2＋1）-dimensional nonlinear partial differential evolution （NLPDE） equation is presented as a model equation for relaxing high-rate processes in active barothropic media. With the aid of symbolic computation and Hirota＇s method, some typical solitary wave solutions to this （2＋1）-dimensional NLPDE equation are unearthed. As a result, depending on the dissipative parameter, single and multivalued solutions are depicted.

关键词： pulsars x-ray spectra relativity and gravitation redshift

Scattering Behavior of Waveguide Channels of a New Coupled Integrable Dispersionless System

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Chinese Physics Letters 2011年第12期28卷 43-46页

作者： Abbagari Souleymanou victor k.kuetche Thomas B.Bouetou Timoleon C.k.fane National Advanced School of Engineering University of Yaounde IP.O.Box 8390Cameroon Department of Physics Faculty of ScienceUniversity of Yaounde IP.O.Box 812Cameroon Department of Mathematics Faculty of ScienceUniversity of Yaounde IP.O.Box 812Cameroon

Based upon the powerful Hirota method for unearthing soliton solutions to nonlinear partial differential evolution equations,we investigate the scattering properties of a new coupled integrable dispersionless system while surveying the interactions between its self-confined travelling wave *** a result,we ascertain three types of scattering features depending strongly upon a characteristic *** such findings to depict soliton solutions with nonzero angular momenta,we derive an extended form of the dispersionless system,which is valuable for further physical applications.

关键词： parameter soliton dispersion

Traveling Wave-Guide Channels of a New Coupled Integrable Dispersionless System

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Communications in Theoretical Physics 2012年第1期57卷 10-14页

In the wak. of the recent investigation of new coupled integrable dispersionless equations by means of the Darboux transformation [Zhaqilao,et al.,***.B 18(2009) 1780],we carry out the initial value analysis of the previous system using the fourth-order Runge-k.tta's computational *** a result,while depicting its phase portraits accordingly,we show that the above dispersionless system actually supports two k.nds of solutions amongst which the localized traveling wave-guide *** addition,paying particular interests to such localized structures,we construct the bilinear transformation of the current system from which scattering amongst the above waves can be deeply studied.

关键词： dispersionaless equations Darboux transformation wave guide channels bilinear transformation

Prolongation Structure Analysis of a Coupled Dispersionless System

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Chinese Physics Letters 2011年第2期28卷 12-15页

作者： Souleymanou Abbagari Bouetou Bouetou Thomas kuetche k.mgang victor Mouna Ferdinand Timoleon Crepin k.fane National Advanced School of Engineering University of Yaounde IP.O.Box.8390Cameroon Department of Physics Faculty of ScienceUniversity of Yaounde IP.O.Box.812Cameroon Department of Mathematics Higher Teacher’s Training CollegeUniversity of MarouaP.O.Box.46Cameroon Department of Mathematics Faculty of ScienceUniversity of Yaounde IP.O.Box 812Cameroon

We address the problem of integrability of a coupled dispersionless system recently introduced by Zhaqilao,Zhao and Li[***.B 18(2009)1780]which physically describes the propagation of electromagnetic fields within an optical nonlinear medium,but also arrives in the physical description of a charged object dynamics in an external magnetic *** the prolongation structure analysis developed by Wahlquist and Estabrook.we derive a more general form of Lax pairs of the previous coupled dispersionless system and its concrete nonAbelian Lie algebra resorting to a hidden ***,we construct the Bäck.und transformation of the system using the Riccati form of the linear eigenvalue problem.

关键词： field system Dispersion

Generating a New Higher-Dimensional Ultra-Short Pulse System: Lie-Algebra Valued Connection and Hidden Structural Symmetries

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Chinese Physics Letters 2012年第2期29卷 29-32页

作者： Hermann T.Tchok.uansi victor k.kuetche Abbagari Souleymanou Thomas B.Bouetou Timoleon C.k.fane National Advanced School of Engineering University of Yaounde IP.O.Box 8390Cameroon Department of Physics Faculty of ScienceUniversity of Yaounde IP.O.Box 812Cameroon Department of Mathematics Faculty of ScienceUniversity of Yaounde IP.O.Box 812Cameroon

We carry out the hidden structural symmetries embedded within a system comprising ultra-short pulses which propagate in optical nonlinear *** upon the Wahlquist Estabrook.approach,we construct the Liealgebra valued connections associated to the previous symmetries while deriving their corresponding Lax-pairs,which are particularly useful in soliton *** the wak. of previous results,we extend the above prolongation scheme to higher-dimensional systems from which a new (2+ 1)-dimensional ultra-short pulse equation is unveiled along with its inverse scattering formulation,the application of which are straightforward in nonlinear optics where an additional propagating dimension deserves some attention.

关键词： theory nonlinear straight

Initial-Value Problem of a Coupled Dispersionless System： Dynamical System Approach

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Chinese Physics Letters 2009年第3期26卷 54-57页

作者： kuetche k.mgang victor Ecole Nationale Supérieure Polytechnique University of Yaounde I PO Box 8390 Cameroon Department of Physics Faculty of Science University of Yaounde I PO Box 812 Cameroon The Abdus Salam International Centre for Theoretical Physics PO Box 586 Strada Costiera II-34014 Trieste Italy

We investigate the dynamical behaviour of a coupled dispersionless system （CDS） by solving its initial-value problem following a dynamical system approach. As a result, we unearth a typical miscellaneous travelling waves including the localized and periodic ones. We also investigate the energy density of such waves and find that under some boundary conditions, the localized waves moving towards positive direction are more stable than the periodic waves which on contrary stand for the most conditions. stable travelling waves in another situation of boundary conditions.

关键词： PARTIAL differential equations INITIAL value problems -- Numerical solutions DYNAMICS LOCALIZED waves WAVE mechanics BOUNDARY value problems