Nonlocal symmetries, exact solutions and conservation laws of the coupled Hirota equations

被引：26
|
作者：
Xin, Xiangpeng [1 ]
Liu, Yutang [1 ]
Liu, Xiqiang [1 ]
机构：
[1] Liaocheng Univ, Sch Math Sci, Liaocheng 252059, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2016年 / 55卷
基金：
中国国家自然科学基金;
关键词：
Nonlocal symmetry; Exact solution; Nonlocal conservation laws;
D O I：
10.1016/j.aml.2015.11.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using the Lax pair, nonlocal symmetries of the coupled Hirota equations are obtained. By introducing an appropriate auxiliary dependent variable, the nonlocal symmetries are successfully localized to Lie point symmetries. With the help of Lie symmetries of the closed prolongation, exact solutions and nonlocal conservation laws of the coupled Hirota equations are studied. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：63 / 71
页数：9
相关论文
共 50 条
  • [1] Nonlocal conservation laws, nonlocal symmetries and exact solutions of an integrable soliton equation
    Sil, Subhankar
    Sekhar, T. Raja
    Dia Zeidan
    [J]. CHAOS SOLITONS & FRACTALS, 2020, 139
  • [2] Exact solutions of the nonlocal Hirota equations
    Zuo, Da-Wei
    Zhang, Gui-Fang
    [J]. APPLIED MATHEMATICS LETTERS, 2019, 93 : 66 - 71
  • [3] On symmetries, conservation laws and exact solutions of the nonlinear Schrodinger-Hirota equation
    Akbulut, Arzu
    Tascan, Filiz
    [J]. WAVES IN RANDOM AND COMPLEX MEDIA, 2018, 28 (02) : 389 - 398
  • [4] ON THE NONLOCAL SYMMETRIES OF THE MAXWELL EQUATIONS AND THE CONSERVATION LAWS
    Krivsky, I. Yu.
    Simulik, V. M.
    [J]. UKRAINIAN JOURNAL OF PHYSICS, 2007, 52 (02): : 119 - 127
  • [5] Multidimensional partial differential equation systems: Nonlocal symmetries, nonlocal conservation laws, exact solutions
    Cheviakov, Alexei F.
    Bluman, George W.
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (10)
  • [6] Lie Symmetries, Conservation Laws and Exact Solutions for Two Rod Equations
    Hanze Liu
    Jibin Li
    [J]. Acta Applicandae Mathematicae, 2010, 110 : 573 - 587
  • [7] Lie Symmetries, Conservation Laws and Exact Solutions for Two Rod Equations
    Liu, Hanze
    Li, Jibin
    [J]. ACTA APPLICANDAE MATHEMATICAE, 2010, 110 (02) : 573 - 587
  • [8] Nonlocal symmetries and nonlocal conservation laws of Maxwell's equations
    Anco, SC
    Bluman, G
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1997, 38 (07) : 3508 - 3532
  • [9] Non-local symmetries, exact solutions and conservation laws for the coupled Lakshmanan–Porsezian–Daniel equations
    Feng Zhang
    Yuru Hu
    Xiangpeng Xin
    Hanze Liu
    [J]. Pramana, 96
  • [10] Darboux transformation, infinite conservation laws, and exact solutions for the nonlocal Hirota equation with variable coefficients
    Liu, Jinzhou
    Yan, Xinying
    Jin, Meng
    Xin, Xiangpeng
    [J]. CHINESE PHYSICS B, 2023, 32 (12)
12345