EXACT SOLUTIONS TO NONLINEAR WAVE EQUATION

被引:0
|
作者
Huabing JiaEnrang YanDept of MathBaoji University of Arts and SciencesBaoji Shaanxi [721013 ]
机构
关键词
D O I
暂无
中图分类号
O431.2 [量子光学];
学科分类号
摘要
In this paper,we use an invariant set to construct exact solutions to a nonlinear wave equation with a variable wave speed. Moreover,we obtain conditions under which the equation admits a nonclassical symmetry. Several different nonclassical symmetries for equations with different diffusion terms are presented.
引用
收藏
页码:13 / 18
页数:6
相关论文
共 50 条
  • [21] EXACT TRAVELLING WAVE SOLUTIONS FOR NONLINEAR SCHRODINGER EQUATION WITH VARIABLE COEFFICIENTS
    Liu, Xiuying
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 7 (04): : 1586 - 1597
  • [22] Exact traveling wave solutions and bifurcations in a nonlinear elastic rod equation
    Ji-bin Li
    Tian-lan He
    Acta Mathematicae Applicatae Sinica, English Series, 2010, 26 : 283 - 306
  • [23] Explicit and exact traveling wave solutions to the nonlinear LC circuit equation
    Shang Ya-Dong
    Huang Yong
    ACTA PHYSICA SINICA, 2013, 62 (07)
  • [24] Bifurcations and Exact Traveling Wave Solutions of a Modified Nonlinear Schrodinger Equation
    Kou, KitIan
    Li, Jibin
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2016, 26 (06):
  • [25] Exact solitary and periodic wave solutions for a generalized nonlinear Schrodinger equation
    Sun, Chengfeng
    Gao, Hongjun
    CHAOS SOLITONS & FRACTALS, 2009, 39 (05) : 2399 - 2410
  • [26] Exact wave solutions of the nonlinear Rosenau equation using an analytical method
    Alotaibi, Trad
    Althobaiti, Ali
    OPEN PHYSICS, 2021, 19 (01): : 889 - 896
  • [27] Exact traveling wave solutions and bifurcations in a nonlinear elastic rod equation
    Li, Ji-bin
    He, Tian-lan
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2010, 26 (02): : 283 - 306
  • [28] New exact solutions for the nonlinear wave equation with fifth-order nonlinear term
    Ye, Caier
    Zhang, Weiguo
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (05) : 2155 - 2166
  • [29] BIFURCATIONS AND EXACT TRAVELING WAVE SOLUTIONS FOR THE GENERALIZED NONLINEAR SCHRODINGER EQUATION WITH WAVE OPERATOR
    Chen, Quting
    Shang, Yadong
    Di, Huafei
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (01): : 336 - 346
  • [30] Exact Solutions of the Nonlinear Diffusion Equation
    A. A. Kosov
    È. I. Semenov
    Siberian Mathematical Journal, 2019, 60 : 93 - 107