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| 1 | Generating a New Higher-Dimensional Coupled Integrable Dispersionless System:Algebraic Structures,Bcklund Transformation and Hidden Structural Symmetries显示文摘The prolongation structure methodologies of Wahlquist-Estabrook [H.D.Wahlquist and F.B.Estabrook,J.Math.Phys.16 (1975) 1] for nonlinear differential equations are applied to a more general set of coupled integrable dispersionless system.Based on the obtained prolongation structure,a Lie-Algebra valued connection of a closed ideal of exterior differential forms related to the above system is constructed.A Lie-Algebra representation of some hidden structural symmetries of the previous system,its Bcklund transformation using the Riccati form of the linear eigenvalue problem and their general corresponding Lax-representation are derived.In the wake of the previous results,we extend the above prolongation scheme to higher-dimensional systems from which a new (2 + 1)-dimensional coupled integrable dispersionless system is unveiled along with its inverse scattering formulation,which applications are straightforward in nonlinear optics where additional propagating dimension deserves some attention. | Souleymanou Abbagari Thomas B.Bouetou Timoleon C.Kofane | 2013 | Communications in Theoretical Physics2013，60，8： | 1 |
| 2 | Generation of a New Coupled Ultra-Short Pulse System from a Group Theoretical Viewpoint: the Cartan Ehresman Connection显示文摘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-Konno-Ichikawa isospectral evolution equations.As 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 media.As 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 momentum.By 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. | Saliou Youssoufa Victor K.Kuetche Timoleon C.Kofane | 2012 | Chinese Physics Letters2012，29，2： | 0 |
| 3 | Generating a New Higher-Dimensional Ultra-Short Pulse System: Lie-Algebra Valued Connection and Hidden Structural Symmetries显示文摘We carry out the hidden structural symmetries embedded within a system comprising ultra-short pulses which propagate in optical nonlinear media.Based 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 theory.In the wake 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. | Hermann T.Tchokouansi Victor K.Kuetche Abbagari Souleymanou Thomas B.Bouetou Timoleon C.Kofane | 2012 | Chinese Physics Letters2012，29，2： | 0 |
| 4 | Scattering Behavior of Waveguide Channels of a New Coupled Integrable Dispersionless System显示文摘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 solutions.As a result,we ascertain three types of scattering features depending strongly upon a characteristic parameter.Using 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. | Abbagari Souleymanou Victor K.Kuetche Thomas B.Bouetou Timoleon C.Kofane | 2011 | Chinese Physics Letters2011，28，12： | 0 |
| 5 | Traveling Wave-Guide Channels of a New Coupled Integrable Dispersionless System显示文摘In the wake of the recent investigation of new coupled integrable dispersionless equations by means of the Darboux transformation [Zhaqilao,et al.,Chin.Phys.B 18(2009) 1780],we carry out the initial value analysis of the previous system using the fourth-order Runge-Kutta's computational scheme.As a result,while depicting its phase portraits accordingly,we show that the above dispersionless system actually supports two kinds of solutions amongst which the localized traveling wave-guide channels.In 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. | Abbagari Souleymanou Victor K.Kuetche Thomas B.Bouetou Timoleon C.Kofane | 2012 | Communications in Theoretical Physics2012，57，1： | 0 |
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