Darboux Transformation and Variable Separation Approach: the Nizhnik-Novikov-Veselov Equation

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2003,（9）
• 页码范围: 1413-1415
• 页数: 3页
• 语种: 英文

摘要

Darboux transformation (DT) is developed to systematically find variable separation solutions for the NizhnikNovikov-Veselov equation. Starting from a seed solution with some arbitrary functions, the one-step DT yields the variable separable solutions, which can be obtained from the truncated Painleve analysis, and the two-step DT leads to some new variable separable solutions, which are the generalization of the known results obtained by using a guess ansatz to solve the generalized trilinear equation.