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.
引用
收藏
页码：127 / 134
页数：8
相关论文
共 50 条
  • [1] Lie symmetries, integrable properties and exact solutions to the variable-coefficient nonlinear evolution equations
    Liu, Hanze
    Yue, Chao
    NONLINEAR DYNAMICS, 2017, 89 (03) : 1989 - 2000
  • [2] Time fractional modified KdV-type equations: Lie symmetries, exact solutions and conservation laws
    He, Fangqin
    Li, Lianzhong
    OPEN PHYSICS, 2019, 17 (01): : 480 - 488
  • [3] Exact solutions for general variable-coefficient KdV equation
    Liu X.
    Jiang S.
    Applied Mathematics-A Journal of Chinese Universities, 2001, 16 (4) : 377 - 380
  • [4] EXACT SOLUTIONS FOR GENERAL VARIABLE-COEFFICIENT KdV EQUATION
    Liu Xiqiang Jiang SongGraduate School
    Dept. of Math.
    AppliedMathematics:AJournalofChineseUniversities, 2001, (04) : 377 - 380
  • [5] Riccati-type Backlund transformations of nonisospectral and generalized variable-coefficient KdV equations
    Yang Yun-Qing
    Wang Yun-Hu
    Li Xin
    Cheng Xue-Ping
    CHINESE PHYSICS B, 2014, 23 (03)
  • [6] Lie symmetries, integrable properties and exact solutions to the variable-coefficient nonlinear evolution equations
    Hanze Liu
    Chao Yue
    Nonlinear Dynamics, 2017, 89 : 1989 - 2000
  • [7] Riccati-type Bcklund transformations of nonisospectral and generalized variable-coefficient KdV equations
    杨云青
    王云虎
    李昕
    程雪苹
    Chinese Physics B, 2014, (03) : 190 - 196
  • [8] SYMMETRY AND CONSERVATION LAW CLASSIFICATION AND EXACT SOLUTIONS TO THE GENERALIZED KdV TYPES OF EQUATIONS
    Liu, Hanze
    Li, Jibin
    Liu, Lei
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2012, 22 (08):
  • [9] CONSERVATION LAWS AND SYMMETRIES OF TIME-DEPENDENT GENERALIZED KDV EQUATIONS
    Anco, Stephen
    Rosa, Maria
    Luz Gandarias, Maria
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2018, 11 (04): : 607 - 615
  • [10] Lie group classifications and exact solutions for two variable-coefficient equations
    Liu, Hanze
    Li, Jibin
    Liu, Lei
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (08) : 2927 - 2935
12345