Grammian Solutions to a Non-Isospectral Kadomtsev-Petviashvili Equation

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2006,（9）
• 页码范围: 2349-2351
• 页数: 3页
• 语种: 英文

摘要

Solutions in the Grammian form for a non-isospectral Kadomtsev-Petviashvili equation are derived by means of Pfaffian derivative formulae. Explicit entries of the Grammian are given. Non-isospectral dynamics of the solutions generated from the Grammian 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.