Exact traveling wave solutions of partial differential equations with power law nonlinearity

被引：7
|
作者：
Aminikhah, H. [1 ]
Ziabary, B. Pourreza [1 ]
Rezazadeh, H. [1 ]
机构：
[1] Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht,P.C. 41938, Iran
来源：
Nonlinear Engineering | 2015年 / 4卷 / 03期
关键词：
Applied science - Boussinesq equations - Exact traveling wave solutions - Functional variable methods - Mathematical tools - Power-law nonlinearity - Solving nonlinear equations - Trigonometric function solutions;
D O I：
10.1515/nleng-2015-0005
中图分类号：
学科分类号：
摘要：
In this paper, we applied the functional variable method for four famous partial differential equations with power lawnonlinearity. These equations are included the Kadomtsev-Petviashvili, (3+1)-Zakharov-Kuznetsov, Benjamin-Bona-Mahony-Peregrine and Boussinesq equations. Various exact traveling wave solutions of these equations are obtained that include the hyperbolic function solutions and the trigonometric function solutions. The solutions shown that this method provides a very effective, simple and powerful mathematical tool for solving nonlinear equations in various fields of applied sciences. © 2015 Walter de Gruyter GmbH. All rights reserved.
引用
收藏
页码：181 / 188
相关论文
共 50 条
  • [21] Exact traveling-wave solutions to bidirectional wave equations
    Chen, M
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1998, 37 (05) : 1547 - 1567
  • [22] BIFURCATIONS AND EXACT TRAVELING WAVE SOLUTIONS FOR THE NONLINEAR SCHRODINGER EQUATION WITH FOURTH-ORDER DISPERSION AND DUAL POWER LAW NONLINEARITY
    Li, Jibin
    Zhou, Yan
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (11): : 3083 - 3097
  • [23] Exact traveling wave solutions to the fourth-order dispersive nonlinear Schrodinger equation with dual-power law nonlinearity
    Douvagai
    Salathiel, Yakada
    Betchewe, Gambo
    Doka, Serge Yamigno
    Crepin, Kofane Timoleon
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (05) : 1135 - 1143
  • [24] Dynamic Behavior of Traveling Wave Solutions for a class of nonlinear partial differential equations
    Zhang, Ruo Feng
    PROCEEDINGS OF THE 2015 INTERNATIONAL SYMPOSIUM ON COMPUTERS & INFORMATICS, 2015, 13 : 2599 - 2604
  • [25] Singular traveling wave solutions for Boussinesq equation with power law nonlinearity and dual dispersion
    Shan Zheng
    Zhengyong Ouyang
    Kuilin Wu
    Advances in Difference Equations, 2019
  • [26] Singular traveling wave solutions for Boussinesq equation with power law nonlinearity and dual dispersion
    Zheng, Shan
    Ouyang, Zhengyong
    Wu, Kuilin
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
  • [27] Exact traveling wave solutions for nonlinear evolutions equations
    Shehata M.S.M.
    Shehata, Maha S. M., 1600, American Scientific Publishers (13): : 534 - 538
  • [28] Exact Traveling Wave Solutions and Bifurcations of the Time-Fractional Differential Equations with Applications
    Zhu, Wenjing
    Xia, Yonghui
    Zhang, Bei
    Bai, Yuzhen
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2019, 29 (03):
  • [29] A Note on Exact Traveling Wave Solutions of the Perturbed Nonlinear Schrodinger's Equation with Kerr Law Nonlinearity
    Zhang Zai-Yun
    Gan Xiang-Yang
    Yu De-Min
    Zhang Ying-Hui
    Li Xin-Ping
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2012, 57 (05) : 764 - 770
  • [30] Exact traveling wave solutions for resonance nonlinear Schrodinger equation with intermodal dispersions and the Kerr law nonlinearity
    Srivastava, Hari M.
    Gunerhan, Hatira
    Ghanbari, Behzad
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (18) : 7210 - 7221
12345