Group Invariant Solutions and Conservation Laws of the Fornberg-Whitham Equation

被引：36
|
作者：
Hashemi, Mir Sajjad [1 ]
Haji-Badali, Ali [1 ]
Vafadar, Parisa [1 ]
机构：
[1] Univ Bonab, Basic Sci Fac, Dept Math, Bonab 55517, Iran
来源：
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2014年 / 69卷 / 8-9期
关键词：
Lie symmetry; First Integral; Nonlinear Self-Adjointness; Conservation Law; NONLINEAR SELF-ADJOINTNESS; EVOLUTION-EQUATIONS; 1ST INTEGRALS; SYMMETRIES; REDUCTION; 3RD;
D O I：
10.5560/ZNA.2014-0037
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
In this paper, we utilize the Lie symmetry analysis method to calculate new solutions for the Fornberg-Whitham equation (FWE). Applying a reduction method introduced by M. C. Nucci, exact solutions and first integrals of reduced ordinary differential equations (ODEs) are considered. Nonlinear self-adjointness of the FWE is proved and conserved vectors are computed.
引用
收藏
页码：489 / 496
页数：8
相关论文
共 50 条
  • [1] Classical symmetries, travelling wave solutions and conservation laws of a generalized Fornberg-Whitham equation
    Camacho, J. C.
    Rosa, M.
    Gandarias, M. L.
    Bruzon, M. S.
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 318 : 149 - 155
  • [2] Travelling wave solutions of the Fornberg-Whitham equation
    Chen, Aiyong
    Li, Jibin
    Deng, Xijun
    Huang, Wentao
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (08) : 3068 - 3075
  • [3] Group-invariant solutions for time-fractional Fornberg-Whitham equation by Lie symmetry analysis
    Najafi, Ramin
    [J]. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2020, 8 (02): : 251 - 258
  • [4] WAVE BREAKING OF PERIODIC SOLUTIONS TO THE FORNBERG-WHITHAM EQUATION
    Hoermann, Guenther
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 38 (03) : 1605 - 1613
  • [5] On the blow-up of solutions for the Fornberg-Whitham equation
    Wu, Xinglong
    Zhang, Zeng
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 44 : 573 - 588
  • [6] NEW EXACT SOLUTIONS TO THE MODIFIED FORNBERG-WHITHAM EQUATION
    Nuseir, Ameina S.
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (06): : 2083 - 2091
  • [7] Periodic and Solitary Wave Solutions to the Fornberg-Whitham Equation
    Zhou, Jiangbo
    Tian, Lixin
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2009, 2009
  • [8] Discontinuous traveling waves as weak solutions to the Fornberg-Whitham equation
    Hoermann, Guenther
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 265 (07) : 2825 - 2841
  • [9] Low-regularity solutions of the periodic Fornberg-Whitham equation
    Tian, Lixin
    Chen, Yuexia
    Jiang, Xiuping
    Xia, Limeng
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (07)
  • [10] Single peak solitary wave solutions for the Fornberg-Whitham equation
    Chen, Aiyong
    Li, Jibin
    Huang, Wentao
    [J]. APPLICABLE ANALYSIS, 2012, 91 (03) : 587 - 600
12345