The First Integral Method for a Nonlinear Wave Equation with Dissipation and Nonlinear Transport Term

被引：0
|
作者：
Li, Chunhai [1 ]
Huang, Wentao [1 ]
Chen, Aiyong
机构：
[1] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Peoples R China
来源：
PROCEEDING OF THE 10TH INTERNATIONAL CONFERENCE ON INTELLIGENT TECHNOLOGIES | 2009年
关键词：
Travelling wave solution; First integral method; Ring theory; Nonlinear wave equation;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, travelling wave solutions for a nonlinear wave equation with dissipation and nonlinear transport term are studied. By using the first integral method, which is based on the ring theory of commutative algebra, we obtain a class of travelling wave solutions for the nonlinear wave equation with dissipation and nonlinear transport term.
引用
收藏
页码：500 / 502
页数：3
相关论文
共 50 条
  • [1] TRAVELING WAVE SOLUTIONS FOR NONLINEAR WAVE EQUATION WITH DISSIPATION AND NONLINEAR TRANSPORT TERM THROUGH FACTORIZATIONS
    Abdusalam, H. A.
    Fahmy, E. S.
    INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2007, 4 (04) : 645 - 651
  • [2] Piecewise multiplier method and nonlinear integral inequalities for Petrowsky equation with nonlinear dissipation
    Alabau-Boussouira, F
    JOURNAL OF EVOLUTION EQUATIONS, 2006, 6 (01) : 95 - 112
  • [3] Piecewise multiplier method and nonlinear integral inequalities for Petrowsky equation with nonlinear dissipation
    Fatiha Alabau-Boussouira
    Journal of Evolution Equations, 2006, 6 : 95 - 112
  • [4] The First Integral Method for Solving the Nonlinear Telephone Equation
    Rouhparvar, H.
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C, 2011, 1389
  • [5] Traveling wave solutions of a nonlinear Schrodinger type equation by using first integral method
    Gao, Weiping
    Hu, Yanxia
    2017 29TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2017, : 6349 - 6354
  • [6] A Robin–Dirichlet problem for a nonlinear wave equation with the source term containing a nonlinear integral
    Nguyen Huu Nhan
    Le Thi Phuong Ngoc
    Tran Minh Thuyet
    Nguyen Thanh Long
    Lithuanian Mathematical Journal, 2017, 57 : 80 - 108
  • [7] A NONLINEAR WAVE EQUATION WITH A NONLINEAR INTEGRAL EQUATION INVOLVING THE BOUNDARY VALUE
    Thanh Long Nguyen
    Tien Dung Bui
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2004,
  • [8] Exact solutions of the nonlinear Schrodinger equation by the first integral method
    Taghizadeh, N.
    Mirzazadeh, M.
    Farahrooz, F.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 374 (02) : 549 - 553
  • [9] A Robin-Dirichlet problem for a nonlinear wave equation with the source term containing a nonlinear integral
    Nguyen Huu Nhan
    Le Thi Phuong Ngoc
    Tran Minh Thuyet
    Nguyen Thanh Long
    LITHUANIAN MATHEMATICAL JOURNAL, 2017, 57 (01) : 80 - 108
  • [10] Solvability of Nonlinear Wave Equation with Nonlinear Integral Neumann Conditions
    Batiha, Iqbal M.
    Chebana, Zainouba
    Oussaeif, Taki-Eddine
    Ouannas, Adel
    Jebril, Iqbal H.
    Shatnawi, Mutaz
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2023, 21
12345