Bcklund Transformation and Multisoliton Solutions in Terms of Wronskian Determinant for (2+1)-Dimensional Breaking Soliton Equations with Symbolic Computation  

作　　者：秦渤 田播 刘立才 孟祥花 刘文军 

机构地区：[1]School of Science,Beijing University of Posts and Telecommunications [2]State Key Laboratory of Software Development Environment,Beijing University of Aeronautics and Astronautics [3]Key Laboratory of Information Photonics and Optical Communications(BUPT),Ministry of Education,University of Posts and Telecommunications [4]School of Science,P.O.Box 122,Beijing University of Posts and Telecommunications

出　　处：《Communications in Theoretical Physics》2010年第12期1059-1066,共8页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No.60772023; the Open Fund under Grant No.BUAASKLSDE-09KF-04l;Supported Project under Grant No.SKLSDE-2010ZX-07 of the State Key Laboratory of Software Development Environment,Beijing University of Aeronautics and Astronautics;the National Basic Research Program of China (973 Program) under Grant No.2005CB321901; the Specialized Research Fund for the Doctoral Program of Higher Education under Grant No.200800130006,Chinese Ministry of Education

摘　　要：In this paper, two types of the （2＋1）-dimensional breaking soliton equations axe investigated, which describe the interactions of the Riemann waves with the long waves. With symbolic computation, the Hirota bilineax forms and Bgcklund transformations are derived for those two systems. Furthermore, multisoliton solutions in terms of the Wronskian determinant are constructed, which are verified through the direct substitution of the solutions into the bilineax equations. Via the Wronskian technique, it is proved that the Bgcklund transformations obtained are the ones between the （ N - 1）- and N-soliton solutions. Propagations and interactions of the kink-/bell-shaped solitons are presented. It is shown that the Riemann waves possess the solitonie properties, and maintain the amplitudes and velocities in the collisions only with some phase shifts.

关 键 词：breaking soliton equations Hirota bilinear form B/icklund transformation Wronskian determinant symbolic computation 

分 类 号：O175.2[理学—数学]