A Modified Approach to the New Solutions of Generalized mKdV Equation Using Expansion Method

被引:0
|
作者
Zhou, Yu [1 ]
Yu, Jicai [1 ]
Wang, Ying [1 ]
机构
[1] Jiangsu Univ Sci & Technol, Sch Math & Phys, Zhenjiang 212003, Jiangsu, Peoples R China
来源
2013 INTERNATIONAL CONFERENCE ON CYBER SCIENCE AND ENGINEERING (CYBERSE 2013) | 2013年
关键词
NONLINEAR EVOLUTION-EQUATIONS; PERIODIC-WAVE SOLUTIONS; (G'/G)-EXPANSION METHOD;
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
New types of solutions of the generalized mKdV equation are found using the modified G'/G-expansion method. By taking an appropriate transformation, the generalized mKdV equation is solved in different cases and hyperbolic, trigonometric, and rational function solutions are obtained. The soliton solutions are also found in some special cases.
引用
收藏
页码:300 / 307
页数:8
相关论文
共 50 条
  • [41] On analytical solutions of the ZK equation and related equations by using the generalized (G'/G)-expansion method
    Telezhko, Irina
    Dengaev, Alexey
    Iarkhamova, Alfiia
    Revyakina, Elena
    Kolcova, Nadezhda
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2025, 13 (01): : 258 - 270
  • [42] A Five-Component Generalized mKdV Equation and Its Exact Solutions
    Xue, Bo
    Du, Huiling
    Li, Ruomeng
    MATHEMATICS, 2020, 8 (07)
  • [43] Solitary wave solutions and kink wave solutions for a generalized KDV-mKDV equation
    Song, Ming
    Hou, Xuejiong
    Cao, Jun
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) : 5942 - 5948
  • [44] New solutions for the modified generalized Degasperis-Procesi equation
    Salas, Alvaro H.
    Gomez S, Cesar A.
    Castillo H, Jairo E.
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (07) : 2608 - 2615
  • [45] A new generalized expansion method and its application in finding explicit exact solutions for a generalized variable coefficients KdV equation
    Sabry, R
    Zahran, MA
    Fan, EG
    PHYSICS LETTERS A, 2004, 326 (1-2) : 93 - 101
  • [46] A new generalized expansion method and its application in finding explicit exact solutions for a generalized variable coefficients KdV equation
    Physics Department, Faculty of Science, Mansoura University, New Damietta 34517, Damietta, Egypt
    不详
    不详
    1600, 93-101 (May 31, 2004):
  • [47] Constructing of new exact solutions to the GKdV-mKdV equation with any-order nonlinear terms by (G′/G)-expansion method
    Li, Zi-Liang
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (04) : 1398 - 1403
  • [48] Travelling Wave Solutions for Fractional Boussinesq Equation Using Modified (G′/G) Expansion Method
    Al-Shawba, Altaf A.
    Abdullah, Farah Aini
    Azmi, Amirah
    PROCEEDING OF THE 25TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM25): MATHEMATICAL SCIENCES AS THE CORE OF INTELLECTUAL EXCELLENCE, 2018, 1974
  • [49] A series of abundant exact travelling wave solutions for a modified generalized Vakhnenko equation using auxiliary equation method
    Ma, Yulan
    Li, Bangqing
    Wang, Cong
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 211 (01) : 102 - 107
  • [50] New Traveling Wave Solutions and Interesting Bifurcation Phenomena of Generalized KdV-mKdV-Like Equation
    Chen, Yiren
    Li, Shaoyong
    ADVANCES IN MATHEMATICAL PHYSICS, 2021, 2021