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

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

作者机构：National Advanced School of EngineeringUniversity of Yaounde IP.O.Box 8390Cameroon Department of PhysicsFaculty of ScienceUniversity of Yaounde IP.O.Box 812Cameroon The Max Planck Institute for the Physics of Complex SystemsNthnitzer Strasse 3801187 DresdenGermany 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2013年第60卷第8期

页      面：145-149页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0704[理学-天文学] 0702[理学-物理学] 

主　　题：高维系统 结构对称性 代数结构 色散 耦合 隐藏 非线性微分方程 非线性光学系统 

摘      要：The prolongation structure methodologies of Wahlquist-Estabrook [*** and ***,***.16 (1975) 1] for nonlinear differential equations are applied to a more general set of coupled integrable dispersionless *** 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 *** 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.