Dynamic Behavior and Exact Expressions of Traveling Wave Solutions for a class of nonlinear partial differential equations

被引：0

作者：

Zhang, Ruo Feng ^{[1
]}

机构：

[1] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Gansu, Peoples R China

来源：

PROCEEDINGS OF THE 2015 INTERNATIONAL SYMPOSIUM ON COMPUTERS & INFORMATICS | 2015年 / 13卷

关键词：

Bifurcation; Solitary wave solution; Unbounded wave solutions;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The partial differential equation generated by one of the Jaulent-Miodek hierarchy models is completely integrable. Applying bifurcation method, some new exact traveling wave solutions of it such as kink wave solutions and unbounded wave solutions are obtained, which corresponding to the solitary wave solutions of its traveling wave system.

引用

页码：2433 / 2440

页数：8

共 50 条

[11] On the Behavior of Solutions of a Class of Nonlinear Partial Differential Equations
H. I. Abdel-Gawad
Journal of Statistical Physics, 1999, 97 : 395 - 407
[12] On the behavior of solutions of a class of nonlinear partial differential equations
Abdel-Gawad, HI
JOURNAL OF STATISTICAL PHYSICS, 1999, 97 (1-2) : 395 - 407
[13] TRAVELING-WAVE SOLUTIONS OF NONLINEAR PARTIAL-DIFFERENTIAL EQUATIONS
GUNDERSEN, RM
JOURNAL OF ENGINEERING MATHEMATICS, 1990, 24 (04) : 323 - 341
[14] Exact traveling wave solutions of partial differential equations with power law nonlinearity
Aminikhah, H.
Ziabary, B. Pourreza
Rezazadeh, H.
Nonlinear Engineering, 2015, 4 (03) : 181 - 188
[15] Exact periodic wave solutions for some nonlinear partial differential equations
El-Wakil, S. A.
Elgarayhi, A.
Elhanbaly, A.
CHAOS SOLITONS & FRACTALS, 2006, 29 (04) : 1037 - 1044
[16] Exact traveling wave solutions for nonlinear evolutions equations
Shehata M.S.M.
Shehata, Maha S. M., 1600, American Scientific Publishers (13): : 534 - 538
[17] EXACT SOLUTIONS OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
Abraham-Shrauner, Barbara
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2018, 11 (04): : 577 - 582
[18] The periodic wave solutions and solitary wave solutions for a class of nonlinear partial differential equations
Zhou, YB
Wang, ML
Miao, TD
PHYSICS LETTERS A, 2004, 323 (1-2) : 77 - 88
[19] EXACT TRAVELING WAVE SOLUTIONS OF A CLASS OF NONLINEAR DIFFUSION-EQUATIONS BY REDUCTION TO A QUADRATURE
OTWINOWSKI, M
PAUL, R
LAIDLAW, WG
PHYSICS LETTERS A, 1988, 128 (09) : 483 - 487
[20] The new travelling wave solutions for a class of nonlinear partial differential equations
Ma, Zhimin
Sun, Yuhui
International Journal of Applied Mathematics and Statistics, 2013, 43 (13): : 459 - 469

← 1 2 3 4 5 →