Grammian Solutions to a Non-Isospectral Kadomtsev-Petviashvili Equation  

作　　者：张大军 

机构地区：[1]Department of Mathematics, Shanghai University, Shanghai 200444

出　　处：《Chinese Physics Letters》2006年第9期2349-2351,共3页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No10371070, and the Foundation of Shanghai Education Committee for Shanghai Prospective Excellent Young Teachers.

摘　　要：Solutions in the Crammian form for a non-isospectral Kadomtsev-Petviashvili equation are derived by means of Pfaffian derivative formulae. Explicit entries of the Crammian are given. Non-isospectral dynamics of the solutions generated from the Crammian are investigated in an analytic way. The solutions obtained can describe line solitons in non-uniform media travelling with time-dependent amplitude and time-dependent direction. In addition, some other solutions have singularities.Solutions in the Crammian form for a non-isospectral Kadomtsev-Petviashvili equation are derived by means of Pfaffian derivative formulae. Explicit entries of the Crammian are given. Non-isospectral dynamics of the solutions generated from the Crammian are investigated in an analytic way. The solutions obtained can describe line solitons in non-uniform media travelling with time-dependent amplitude and time-dependent direction. In addition, some other solutions have singularities.

关 键 词：N-SOLITON SOLUTIONS DE-VRIES EQUATION WRONSKIAN TECHNIQUE KORTEWEG-DEVRIES TERMS FORM 

分 类 号：O411[理学—理论物理]