A Generalized Three-Wave Method for Nonlinear Evolution Equations

被引：0
|
作者：
Liu, Chang-Fu
Zou, Min
机构：
来源：
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2010年 / 11卷 / 07期
关键词：
The (3+1)-dimensional soliton equation; solitary wave solutions; periodic solitary wave solutions; periodic solutions; EXP-FUNCTION METHOD; MATHEMATICAL PHYSICS; SOLITON-SOLUTIONS;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A generalized three-wave method is proposed to construct a generalized traveling wave with different velocities and frequencies. The (3+1)-dimensional soliton equation is used as an example to illustrate the solution procedure, some new wave solutions with three different velocities and frequencies are obtained.
引用
收藏
页码：489 / 493
页数：5
相关论文
共 50 条
  • [21] Three-wave Nonlinear Scattering by Quasiperiodic Dielectric Structure
    Shramkova, O. V.
    Schuchinsky, A. G.
    2012 IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM (APSURSI), 2012,
  • [22] Asymptotic treatment of the three-wave nonlinear parametric interaction
    Fuchs, V
    JOURNAL OF PLASMA PHYSICS, 2005, 71 : 151 - 156
  • [23] Nonlinear resonant three-wave interactions of Alfven waves
    Rollins, DK
    Shivamoggi, BK
    PHYSICS LETTERS A, 2000, 268 (4-6) : 382 - 385
  • [24] A Method for Constructing Traveling Wave Solutions to Nonlinear Evolution Equations
    Ge, Juhong
    Hua, Cuncai
    Feng, Zhaosheng
    ACTA APPLICANDAE MATHEMATICAE, 2012, 118 (01) : 185 - 201
  • [25] A Method for Constructing Traveling Wave Solutions to Nonlinear Evolution Equations
    Juhong Ge
    Cuncai Hua
    Zhaosheng Feng
    Acta Applicandae Mathematicae, 2012, 118 : 185 - 201
  • [26] Generalized phase-shifting for three-wave shearing interferometry
    Xia, Jianpei
    Chen, Zhaozhong
    Sun, Hao
    Liang, Pei-Ying
    Ding, Jianping
    APPLIED OPTICS, 2016, 55 (11) : 2843 - 2847
  • [27] Semiclassical Soliton Ensembles for the Three-Wave Resonant Interaction Equations
    Buckingham, R. J.
    Jenkins, R. M.
    Miller, P. D.
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2017, 354 (03) : 1015 - 1100
  • [28] NEW EXACT TRAVELLING WAVE SOLUTIONS TO THREE NONLINEAR EVOLUTION EQUATIONS
    Sirendaoreji Dept of Math.
    AppliedMathematics:AJournalofChineseUniversities, 2004, (02) : 178 - 186
  • [29] New exact traveling wave solutions for three nonlinear evolution equations
    Zheng, Bin
    WSEAS Transactions on Computers, 2010, 9 (06): : 624 - 633
  • [30] New explicit traveling wave solutions for three nonlinear evolution equations
    Wu, Jianping
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (04) : 1764 - 1770
12345