Generating a New Higher-Dimensional Coupled Integrable Dispersionless System:Algebraic Structures,Bcklund Transformation and Hidden Structural Symmetries  

作　　者：Souleymanou Abbagari Thomas B.Bouetou Timoleon C.Kofane 

机构地区：[1]National Advanced School of Engineering,University of Yaounde I,P.O.Box 8390,Cameroon [2]Department of Physics,Faculty of Science,University of Yaounde I,P.O.Box 812,Cameroon [3]The Max Planck Institute for the Physics of Complex Systems,Nthnitzer Strasse 38,01187 Dresden,Germany

出　　处：《Communications in Theoretical Physics》2013年第8期145-149,共5页理论物理通讯（英文版）

摘　　要：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 Biicklund 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.

关 键 词：coupled integrable dispersionless system algebraic structures B^cklund transformation Hiddenstructural symmetries 

分 类 号：O411[理学—理论物理]