文章基本信息

标题：Exact solutions and multi-symplectic structure of the generalized KdV-type equation
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作者：Xiao-Feng Yang ; Zi-Chen Deng ; Qing-Jun Li 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：271
DOI：10.1186/s13662-015-0611-7
语种：English
出版社：Hindawi Publishing Corporation
摘要：The homogeneous balance of undetermined coefficients method is proposed to obtain not only exact solutions but also multi-symplectic structure of some nonlinear partial differential equations. Bilinear equation, N-soliton solutions, traveling wave solutions and multi-symplectic structure are obtained by applying the proposed method to the KdV equation. Accordingly, the definition and multi-symplectic structure of the generalized KdV-type equation are given. The proposed method is also a standard and computable method, which can be generalized to deal with some types of nonlinear partial differential equations.
关键词：homogeneous balance of undetermined coefficients method ; multi-symplectic structure ; generalized KdV-type equation ; bilinear equation ; N -soliton solution ; traveling wave solution