A Burgers equation-based constructive method for solving nonlinear evolution equations

被引：15
|
作者：
Lü, ZS [1 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
来源：
PHYSICS LETTERS A | 2006年 / 353卷 / 2-3期
基金：
中国博士后科学基金;
关键词：
D O I：
10.1016/j.physleta.2005.12.087
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Inspired by the extended tanh function method and the direct method of symmetry reduction, we present a Burgers equation-based constructive method for solving nonlinear evolution equations (NLEEs). This method allows us to generate the solutions of NLEEs by the solutions of the Burgers equation. Applying this method to the NLEEs, we can obtain soliton-like solutions, multi-soliton-like solutions, formal periodic solutions and rational solutions, etc. We take the Boiti-Leon-Pempinelli equation as an example to illustrate the algorithm. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：158 / 160
页数：3
相关论文
共 50 条
  • [1] A NEW VARIABLE-COEFFICIENT BERNOULLI EQUATION-BASED SUB-EQUATION METHOD FOR SOLVING NONLINEAR DIFFERENTIAL EQUATIONS
    Zheng, Bin
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2014, 76 (02): : 63 - 74
  • [2] METHOD FOR SOLVING DEGENERATED NONLINEAR EQUATION OF EVOLUTION
    KONISHI, Y
    JOURNAL OF THE FACULTY OF SCIENCE UNIVERSITY OF TOKYO SECTION 1-MATHEMATICS ASTRONOMY PHYSICS CHEMISTRY, 1972, 19 (02): : 243 - &
  • [3] Effective Method for Solving Different Types of Nonlinear Fractional Burgers' Equations
    Mukhtar, Safyan
    Abuasad, Salah
    Hashim, Ishak
    Abdul Karim, Samsul Ariffin
    MATHEMATICS, 2020, 8 (05)
  • [4] A Jacobi Collocation Method for Solving Nonlinear Burgers-Type Equations
    Doha, E. H.
    Baleanu, D.
    Bhrawy, A. H.
    Abdelkawy, M. A.
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [5] A combination method for solving nonlinear evolution equations
    Xie, Yuanxi
    Peng, Shiyu
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 2008, 123 (12): : 1607 - 1615
  • [6] Solving Burgers equation by a meshless method
    Shi, BJ
    Shu, DW
    Song, SJ
    Zhang, YM
    MODERN PHYSICS LETTERS B, 2005, 19 (28-29): : 1651 - 1654
  • [7] The Enhanced Modified Simple Equation Method for Solving Nonlinear Evolution Equations with Variable Coefficients
    Zayed, E. M. E.
    Arnous, A. H.
    11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013), 2013, 1558 : 1999 - 2004
  • [8] Solving a nonlinear inverse system of Burgers equations
    Zeidabadi, Hamed
    Pourgholi, Reza
    Tabasi, S. Hashem
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2019, 10 (01): : 35 - 54
  • [9] Application of the trial equation method for solving some nonlinear evolution equations arising in mathematical physics
    YUSUF GUREFE
    ABDULLAH SONMEZOGLU
    EMINE MISIRLI
    Pramana, 2011, 77 : 1023 - 1029
  • [10] Application of the trial equation method for solving some nonlinear evolution equations arising in mathematical physics
    Gurefe, Yusuf
    Sonmezoglu, Abdullah
    Misirli, Emine
    PRAMANA-JOURNAL OF PHYSICS, 2011, 77 (06): : 1023 - 1029
12345