New Variable Separation Solutions for Two Nonlinear Evolution Equations in Higher Dimensions

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2013,（3）
• 页码范围: 5-8
• 页数: 4页
• 语种: 英文
• DOI: 10.1088/0256-307X/30/3/030202

摘要

Based on the multi-linear variable separation approach,a new direct variable separation algorithm is proposed.The effectiveness of the algorithm is demonstrated by the applications of the (2+1)-dimensional modified Korteweg-de Vries equation and the (3+1)-dimensional BKP equation.The new variable separation solutions which include at least one arbitrary function are derived for these two equations with the aid of Maple.