The EHTA for nonlinear evolution equations

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• 作者：Zhanhui Zhao ; Zhengde Dai ; Song Han
• 关键词：Nonlinear evolution equations ; Extended homoclinic test approach ; Hirota bilinear form ; Breather type of soliton ; Periodic type of soliton
• 刊名：Applied Mathematics and Computation
• 出版年：2010
• 出版时间：15 December 2010
• 年：2010
• 卷：217
• 期：8
• 页码：4306-4310
• 全文大小：173 K

文摘

Two types of important nonlinear evolution equations are investigated by using the extended homoclinic test approach (EHTA). Some exact soliton solutions including breather type of soliton, periodic type of soliton and two soliton solutions are obtained. These results show that the extended homoclinic test technique together with the bilinear method is a simple and effective method to seek exact solutions for nonlinear evolution equations.