New solutions for the modified generalized Degasperis-Procesi equation

被引：5
|
作者：
Salas, Alvaro H. [1 ,2 ]
Gomez S, Cesar A. [3 ]
Castillo H, Jairo E. [4 ,5 ]
机构：
[1] Univ Caldas, Dept Math, Manizales, Colombia
[2] Univ Nacl Colombia, Dept Math, Manizales, Colombia
[3] Univ Nacl Colombia, Dept Math, Bogota, Colombia
[4] Univ Cent, Dept Sci, Bogota, Colombia
[5] Univ Autonoma, Dept Math, Bogota, Colombia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 215卷 / 07期
关键词：
Extended tanh method; Cole-Hopf transformation method; Rational hyperbolic method; Nonlinear differential equation; Degasperis-Procesi equation; mDP equation; Camassa-Holm equation; Traveling wave solution; MODIFIED FORMS; CAMASSA-HOLM;
D O I：
10.1016/j.amc.2009.08.064
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, using three distinct computational methods we obtain some new exact solutions for the generalized modified Degasperis-Procesi equation (mDP equation) u(t) - u(xxt) + (b + 1)u(2)u(x) = bu(x)u(xx) + uu(xxx). We show the graph of some of the new solutions obtained here with the aim to illustrate their physical relevance. Mathematica is used. Finally some conclusions are given. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：2608 / 2615
页数：8
相关论文
共 50 条
  • [1] On solutions to the Degasperis-Procesi equation
    Chen, Wenying
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 379 (01) : 351 - 359
  • [2] Bounded travelling wave solutions for a modified form of generalized Degasperis-Procesi equation
    He Bin
    Rui Weiguo
    Li Shaolin
    Chen Chan
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (01) : 113 - 123
  • [3] Exact solutions to Degasperis-Procesi equation
    Zhang Lin-Na
    Fu Zun-Tao
    Liu Shi-Kuo
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 50 (01) : 48 - 50
  • [4] Smooth travelling wave solutions in a generalized Degasperis-Procesi equation
    Zhu, Kun
    Shen, Jianhe
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, 98
  • [5] The Stability of Solutions for the Generalized Degasperis-Procesi Equation with Variable Coefficients
    Chen, Jing
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [6] Exact Solutions to Degasperis-Procesi Equation
    ZHANG Lin-Na~1 FU Zun-Tao~(1
    [J]. Communications in Theoretical Physics, 2008, 50 (07) : 48 - 50
  • [7] On the Cauchy problem for a generalized Degasperis-Procesi equation
    Ye Weikui
    Yin Zhaoyang
    [J]. APPLICABLE ANALYSIS, 2020, 99 (08) : 1300 - 1315
  • [8] The Cauchy problem for the generalized Degasperis-Procesi equation
    Fei Zuo
    Changan Tian
    Hongjun Wang
    [J]. Boundary Value Problems, 2013
  • [9] New exact traveling wave solutions for the modified form of Degasperis-Procesi equation
    Ma, Hong-Cai
    Yu, Yao-Dong
    Ge, Dong-Jie
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 203 (02) : 792 - 798
  • [10] The Cauchy problem for the generalized Degasperis-Procesi equation
    Zuo, Fei
    Tian, Changan
    Wang, Hongjun
    [J]. BOUNDARY VALUE PROBLEMS, 2013,
12345