The Lagrangian, Self-Adjointness, and Conserved Quantities for a Generalized Regularized Long-Wave Equation

被引：0
|
作者：
Wei, Long [1 ]
Wang, Yang [1 ]
机构：
[1] Hangzhou Dianzi Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
关键词：
MODEL;
D O I：
10.1155/2014/173192
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Lagrangian and the self-adjointness of a generalized regularized long-wave equation and its transformed equation. We show that the third-order equation has a nonlocal Lagrangian with an auxiliary function and is strictly self-adjoint; its transformed equation is nonlinearly self-adjoint and the minimal order of the differential substitution is equal to one. Then by Ibragimov's theorem on conservation laws we obtain some conserved qualities of the generalized regularized long-wave equation.
引用
收藏
页数：5
相关论文
共 50 条
  • [31] Self-Adjointness and Conservation Laws for a Generalized Dullin-Gottwald-Holm Equation
    Bruzon, Maria S.
    Gandarias, Maria Luz
    ALGEBRA, GEOMETRY AND MATHEMATICAL PHYSICS (AGMP), 2014, 85 : 577 - 586
  • [32] SELF-ADJOINTNESS OF MOMENTUM OPERATORS IN GENERALIZED COORDINATES
    DOMINGOS, JM
    CALDEIRA, MH
    FOUNDATIONS OF PHYSICS, 1984, 14 (02) : 147 - 154
  • [33] Transcendental surface wave to the symmetric regularized long-wave equation
    Fatema, Kaniz
    Islam, Md. Ekramul
    Akhter, Mousumi
    Akbar, M. Ali
    Inc, Mustafa
    PHYSICS LETTERS A, 2022, 439
  • [34] A study of self-adjointness, Lie analysis, wave structures, and conservation laws of the completely generalized shallow water equation
    Ansari, Ali R.
    Jhangeer, Adil
    Imran, Mudassar
    Beenish
    Inc, Mustafa
    EUROPEAN PHYSICAL JOURNAL PLUS, 2024, 139 (06):
  • [35] A high-accuracy compact conservative scheme for generalized regularized long-wave equation
    Xintian Pan
    Haitao Che
    Yiju Wang
    Boundary Value Problems, 2015
  • [36] A high-accuracy compact conservative scheme for generalized regularized long-wave equation
    Pan, Xintian
    Che, Haitao
    Wang, Yiju
    BOUNDARY VALUE PROBLEMS, 2015,
  • [37] Optimal Homotopy Asymptotic Method to Nonlinear Damped Generalized Regularized Long-Wave Equation
    Nawaz, R.
    Islam, S.
    Shah, I. A.
    Idrees, M.
    Ullah, H.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [38] Multisymplectic numerical method for the regularized long-wave equation
    Cai, Jiaxiang
    COMPUTER PHYSICS COMMUNICATIONS, 2009, 180 (10) : 1821 - 1831
  • [39] A finite difference solution of the regularized long-wave equation
    Kutluay, S.
    Esen, A.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2006, 2006 (1-14) : 1 - 14
  • [40] FOURIER PSEUDOSPECTRAL SOLUTION OF THE REGULARIZED LONG-WAVE EQUATION
    SLOAN, DM
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1991, 36 (02) : 159 - 179
12345