Auxiliary equation method for solving nonlinear Wick-type partial differential equations

被引：1
|
作者：
Chen, Yong [1 ]
Gao, Hongjun [1 ]
机构：
[1] Nanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210046, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 06期
关键词：
Auxiliary equation method; Wick-type PDE; Burger's equation; KdV equation; SERIES;
D O I：
10.1016/j.cnsns.2010.09.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using the solutions of an auxiliary differential equation, a direct algebraic method is described to construct several kinds of exact travelling wave solutions for some Wick-type nonlinear partial differential equations. By this method some physically important nonlinear equations are investigated and new exact travelling wave solutions are explicitly obtained. In addition, the links between Wick-type partial differential equations and variable coefficient partial differential equations are also clarified generally. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：2421 / 2437
页数：17
相关论文
共 50 条
  • [21] The Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations
    Zheng, Bin
    Feng, Qinghua
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [22] More solutions of the auxiliary equation to get the solutions for a class of nonlinear partial differential equations
    Feng, Yang
    Wang, Dan
    Li, Wen-ting
    Zhang, Hong-qing
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (11) : 3332 - 3338
  • [23] New method for solving nonlinear second order partial differential equations
    Gachpazan, M.
    Kerayechian, A.
    Kamyad, A.V.
    Korean Journal of Computational & Applied Mathematics, 2000, 7 (02): : 333 - 345
  • [24] Solving nonlinear partial differential equations using a novel Cham method
    Gasmi, Boubekeur
    Moussa, Alaaeddin
    Mati, Yazid
    Alhakim, Lama
    Akguel, Ali
    JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2023, 17 (01):
  • [25] A new method for solving nonlinear second order partial differential equations
    Dept. of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
    Journal of Applied Mathematics and Computing, 2000, 7 (02) : 333 - 345
  • [26] Solving Nonlinear Partial Differential Equations by the sn-ns Method
    Salas, Alvaro H.
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [27] Solving fractional nonlinear partial differential equations by the modified Kudryashov method
    Hao, Menghan
    Zhang, Yanni
    Pang, Jing
    3RD INTERNATIONAL CONFERENCE ON FLUID MECHANICS AND INDUSTRIAL APPLICATIONS, 2019, 1300
  • [28] Some regularity results for the stochastic pressure equation of Wick-type
    Benth, FE
    Theting, TG
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2002, 20 (06) : 1191 - 1223
  • [29] A new method for solving nonlinear second order partial differential equations
    M. Gachpazan
    A. Kerayechian
    A. V. Kamyad
    Korean Journal of Computational & Applied Mathematics, 2000, 7 (2) : 333 - 345
  • [30] Stochastic exact solutions of the Wick-type stochastic NLS equation
    Li, Yin
    Zhao, Yulin
    Yao, Zheng-an
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 249 : 209 - 221
12345