CK transformations, symmetries, exact solutions and conservation laws of the generalized variable-coefficient KdV types of equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:345

Article

Liu, Hanze¹  Sang, Bo¹  Xin, Xiangpeng¹  Liu, Xiqiang¹ 

[1] Liaocheng Univ, Sch Math Sci, Liaocheng 252059, Shandong, Peoples R China

关键词: CK transformation;    Lie group classification;    Exact solution;    Conservation law;    Variable-coefficient equation;   

DOI  :  10.1016/j.cam.2018.06.019

来源: Elsevier

【 摘 要 】

In this paper, the improved CK reduction transformation is performed on the generalized variable-coefficient KdV (vc-KdV) type of equation, then these variable-coefficient equations are transformed into its constant-coefficient counterparts under some conditions. Moreover, the complete Lie group classification is presented, all of the point symmetries of the equations are obtained. Furthermore, the exact solutions and conservation laws of the equations are investigated. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

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