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

被引：17
|
作者：
Liu, Hanze [1 ]
Sang, Bo [1 ]
Xin, Xiangpeng [1 ]
Liu, Xiqiang [1 ]
机构：
[1] Liaocheng Univ, Sch Math Sci, Liaocheng 252059, Shandong, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2019年 / 345卷
基金：
中国国家自然科学基金;
关键词：
CK transformation; Lie group classification; Exact solution; Conservation law; Variable-coefficient equation; INTEGRABLE PROPERTIES; REDUCTIONS; SYSTEMS;
D O I：
10.1016/j.cam.2018.06.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页码：127 / 134
页数：8
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