摘要
在为 non-isospectral Kadomtsev-Petviashviliequation 的 Grammian 形式的答案借助于 Pfaffian 衍生物公式被导出。Grammian 的明确的条目被给。从 Grammian 产生的答案的 Non-isospectral 动力学以一个分析方法被调查。获得的答案能在与时间依赖者振幅和时间依赖者方向旅行的不一致的媒介描述线 solutons。另外，一些另外的答案有奇特。
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.
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.
