Nonlinear variable separation solutions of some mKdV-type equations and the unified construction method
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- 作者：Shoufeng Shen ; Junquang Song
- 关键词：mKdV-type equation ; Variable separation ; Exact solution ; Hirota’ ; s bilinear method
- 刊名：Applied Mathematics and Computation
- 出版年：2009
- 出版时间：1 June 2009
- 年：2009
- 卷：212
- 期：1
- 页码：251-256
- 全文大小：289 K
文摘
From the viewpoint of inverse problem research, by using the Hirota’s bilinear transformation method and direct variable separation ansatz, some mKdV-type equations with nonlinear variable separation solutions are unified constructed. These exact special solutions include several lower-dimensional arbitrary functions which can be used to express various soliton structures.