Symmetries and Conservation Laws for Some Compacton Equation

被引：9
|
作者：
Gandarias, M. L. [1 ]
Bruzon, M. S. [1 ]
Rosa, M. [1 ]
机构：
[1] Univ Cadiz, Dept Matemat, Cadiz 11510, Spain
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2015年 / 2015卷
关键词：
SELF-ADJOINT SUBCLASSES; DIRECT CONSTRUCTION;
D O I：
10.1155/2015/430823
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We consider some equations with compacton solutions and nonlinear dispersion from the point of view of Lie classical reductions. The reduced ordinary differential equations are suitable for qualitative analysis and their dynamical behaviour is described. We derive by using the multipliers method some nontrivial conservation laws for these equations.
引用
收藏
页数：6
相关论文
共 50 条
  • [21] Lie symmetries and conservation laws of the Hirota-Ramani equation
    Nadjafikhah, Mehdi
    Shirvani-Sh, Vahid
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (11) : 4064 - 4073
  • [22] CONSERVATION LAWS AND SYMMETRIES
    DASS, T
    PHYSICAL REVIEW, 1966, 145 (04): : 1011 - &
  • [23] Nonlocal symmetries and conservation laws of the Sinh-Gordon equation
    Xiao-yan Tang
    Zu-feng Liang
    Journal of Nonlinear Mathematical Physics, 2017, 24 : 93 - 106
  • [24] On the geometry of Liouville equation: Symmetries, conservation laws, and Backlund transformations
    Kiselev, AV
    ACTA APPLICANDAE MATHEMATICAE, 2002, 72 (1-2) : 33 - 49
  • [25] SYMMETRIES OF CONSERVATION LAWS
    Konjik, Sanja
    PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2005, 77 (91): : 29 - 51
  • [26] On symmetries and conservation laws of a Gardner equation involving arbitrary functions
    de la Rosa, R.
    Gandarias, M. L.
    Bruzon, M. S.
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 290 : 125 - 134
  • [27] Nonlocal symmetries and conservation laws of the Sinh-Gordon equation
    Tang, Xiao-yan
    Liang, Zu-feng
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2017, 24 (01) : 93 - 106
  • [28] CONSERVATION LAWS BY SYMMETRIES AND ADJOINT SYMMETRIES
    Ma, Wen-Xiu
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2018, 11 (04): : 707 - 721
  • [29] Some conservation laws for a forced KdV equation
    Gandarias, M. L.
    Bruzon, M. S.
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (06) : 2692 - 2700
  • [30] Lie Symmetries and Conservation Laws of the Generalised Foam-Drainage Equation
    Zhang, Zhi-Yong
    Ma, Kai-Hua
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2017, 72 (03): : 261 - 267
12345