Finding exact solutions for selected nonlinear evolution differential equations

被引：0
|
作者：
Bhanot, Rajeev P. [1 ]
Mohammed, Mayada G. [2 ]
Strunin, Dmitry V. [3 ]
机构：
[1] Australian Catholic Univ, Inst Posit Psychol & Educ, L9,33 Berry St, Sydney, NSW 2060, Australia
[2] Univ Thi Qar, Coll Educ Pure Sci, Dept Math, Nasiriyah, Iraq
[3] Univ Southern Queensland, Sch Sci, Toowoomba, Qld 4350, Australia
来源：
JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2023年 / 26卷 / 07期
关键词：
Kudryashov method; Nonlinear partial differential equations; TRAVELING-WAVE SOLUTIONS; COMPACT;
D O I：
10.47974/JIM-1566
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Burgers, Breaking Soliton and Boussinesq equations are applicable in different areas of physics. Searching their real solutions are particularly important. In this research the modified Kudryashov method is applied for finding exact travelling wave solutions of the Burgers, Boussinesq and Breaking soliton equation. To visualize the dynamics, we present the solutions in the form of graphs in 2D and 3D plots. The solutions summarize that, the Kudryashov modified method is effectual for solving nonlinear evolution differential equations in exact form.
引用
收藏
页码：1461 / 1470
页数：10
相关论文
共 50 条
  • [41] A Series of New Exact Solutions of Nonlinear Evolution Equations
    Abdou, M. A.
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 26 (05) : 993 - 1005
  • [42] Exact solutions to a large class of nonlinear evolution equations
    Xu, GQ
    Li, ZB
    Liu, YP
    CHINESE JOURNAL OF PHYSICS, 2003, 41 (03) : 232 - 241
  • [43] Study of Integrability and Exact Solutions for Nonlinear Evolution Equations
    Rui, Weiguo
    Ma, Wen-Xiu
    Khalique, Chaudry Masood
    Zhu, Zuo-nong
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [44] A procedure to construct exact solutions of nonlinear evolution equations
    Cevikel, Adem Cengiz
    Bekir, Ahmet
    Akar, Mutlu
    San, Sait
    PRAMANA-JOURNAL OF PHYSICS, 2012, 79 (03): : 337 - 344
  • [45] The functional variable method for finding exact solutions of some nonlinear time-fractional differential equations
    Liu, Wenjun
    Chen, Kewang
    PRAMANA-JOURNAL OF PHYSICS, 2013, 81 (03): : 377 - 384
  • [46] A method for solving initial-value problem and finding exact solutions of nonlinear partial differential equations
    Bai, CL
    Zhao, H
    CZECHOSLOVAK JOURNAL OF PHYSICS, 2005, 55 (06) : 643 - 650
  • [47] The functional variable method for finding exact solutions of some nonlinear time-fractional differential equations
    WENJUN LIU
    KEWANG CHEN
    Pramana, 2013, 81 : 377 - 384
  • [48] On Finding Exact Solutions to Coupled Systems of Partial Differential Equations by the NDM
    Rawashdeh, Mahmoud Saleh
    Maitama, Shehu
    THAI JOURNAL OF MATHEMATICS, 2020, 18 (02): : 621 - 637
  • [49] A NEW APPROACH FOR FINDING EXACT SOLUTIONS OF FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
    Feng, Qinghua
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2014, 76 (04): : 135 - 146
  • [50] A new approach for finding exact solutions of fractional partial differential equations
    Feng, Qinghua
    UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2014, 76 (04): : 135 - 146
12345