Painlevé Property and New Analytic Solutions for a Variable-Coefficient Kadomtsev-Petviashvili Equation with Symbolic Computation

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2008,（5）
• 页码范围: 1599-1602
• 页数: 4页
• 语种: 英文

摘要

A variable-coefficient Kadomtsev-Petviashvili equation is investigated.The Painlevé analysis leads to its explicit Painlevé-integrable conditions.An auto-B(a)cklund transformation and the bilinear form are presented via the truncated Painlevé expansion and symbolic computation.Several families of new analytic solutions axe presented,including the soliton-like and periodic solutions.