Baicklund transformation and multiple soliton solutions for the (3+1)-dimensional Jimbo-Miwa equation

• 来源期刊: 中国物理（英文版）
• 学科: 物理学
• 关键词: soliton homogeneous balance method (3+1)-dimensions JM equation
• 年，卷（期）: 2002,（5）
• 页码范围: 425-428
• 页数: 4页
• 分类号: O4
• 语种: 英文

摘要

We study an approach to constructing multiple soliton solutions of the (3+1)-dimensional nonlinear evolution equation. We take the (3+1)-dimensional Jimbo-Miwa (JM) equation as an example. Using the extended homogeneous balance method, one can find a Backlund transformation to decompose the (3+1)-dimensional JM equation into a linear partial differential equation and two bilinear partial differential equations. Starting from these linear and bilinear partial differential equations, some multiple soliton solutions for the (3+1)-dimensional JM equation are obtained by introducing a class of formal solutions.