Approximate Symmetry Analysis and Approximate Conservation Laws of Perturbed KdV Equation

被引：3
|
作者：
Bai, Yu-Shan [1 ]
Zhang, Qi [1 ]
机构：
[1] Inner Mongolia Univ Technol, Dept Math, Hohhot 010051, Peoples R China
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2018年 / 2018卷
关键词：
NOETHER-TYPE SYMMETRIES; PARTIAL LAGRANGIANS;
D O I：
10.1155/2018/4743567
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Approximate symmetries, which are admitted by the perturbed KdV equation, are obtained. The optimal system of one-dimensional subalgebra of symmetry algebra is obtained. The approximate invariants of the presented approximate symmetries and some new approximately invariant solutions to the equation are constructed. Moreover, the conservation laws have been constructed by using partial Lagrangian method.
引用
收藏
页数：11
相关论文
共 50 条
  • [1] Approximate conservation laws in the KdV equation
    Israwi, Samer
    Kalisch, Henrik
    PHYSICS LETTERS A, 2019, 383 (09) : 854 - 858
  • [2] New approximate solutions of the perturbed KdV equation
    Niu, XH
    Pan, ZL
    PHYSICS LETTERS A, 2006, 349 (1-4) : 192 - 197
  • [3] Approximate Noether Symmetries of Perturbed Lagrangians and Approximate Conservation Laws
    Gorgone, Matteo
    Oliveri, Francesco
    MATHEMATICS, 2021, 9 (22)
  • [4] CONSERVATION-LAWS AND THE PERTURBED KDV EQUATION
    HERMAN, RL
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (20): : 4719 - 4724
  • [5] Approximate Symmetries Analysis and Conservation Laws Corresponding to Perturbed Korteweg-de Vries Equation
    Ayaz, Tahir
    Ali, Farhad
    Mashwani, Wali Khan
    Khan, Israr Ali
    Salleh, Zabidin
    Ikramullah
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [6] LIE SYMMETRY ANALYSIS AND CONSERVATION LAWS FOR A TIME FRACTIONAL PERTURBED STANDARD KDV EQUATION IN THE STATIONARY COORDINATE
    El Ansari B.
    El Kinani E.H.
    Ouhadan A.
    Journal of Mathematical Sciences, 2025, 289 (1) : 114 - 127
  • [7] Approximate conservation laws of perturbed partial differential equations
    Gan, Yani
    Qu, Changzheng
    NONLINEAR DYNAMICS, 2010, 61 (1-2) : 217 - 228
  • [8] Approximate conservation laws of perturbed partial differential equations
    Yani Gan
    Changzheng Qu
    Nonlinear Dynamics, 2010, 61 : 217 - 228
  • [9] Approximate conservation laws in perturbed integrable lattice models
    Mierzejewski, Marcin
    Prosen, Tomaz
    Prelovsek, Peter
    PHYSICAL REVIEW B, 2015, 92 (19)
  • [10] Approximate symmetry reduction for perturbed nonlinear Schrodinger equation
    Xie Shui-Ying
    Lin Ji
    CHINESE PHYSICS B, 2010, 19 (05) : 0502011 - 0502015
12345