Backlünd transformation and multiple soliton solutions for the (3+1)-dimensional Nizhnik Novikov-Veselov equation

• 来源期刊: 中国物理（英文版）
• 关键词: soliton extended homogeneous balance method (3+1)-dimensional NNV equation
• 年，卷（期）: 2004,（1）
• 页码范围: 1-4
• 页数: 4页
• 语种: 英文

摘要

We develop an approach to construct multiple soliton solutions of the (3+1)-dimensional nonlinear evolution equation. We take the (3+1)-dimensional Nizhnik-Novikov-Veselov (NNV) equation as an example. Using the extended homogeneous balance method, one can find a Backlünd transformation to decompose the (3+1)-dimensional NNV into a set of partial differential equations. Starting from these partial differential equations, some multiple soliton solutions for the (3+1)-dimensional NNV equation are obtained by introducing a class of formal solutions.