M.Wadati可积非线性发展方程的精确行波解

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

基金项目: 国家自然科学基金资助项目(10671179;10772158)

Exact Traveling Wave Solutions for an Integrable Nonlinear Evolution Equation Given by M. Wadati

1.
School of Science, Kunming University of Science and Technology, Kunming 650093, P. R. China;

摘要: 用平面动力系统方法研究由M.Wadati提出的一类可积非线性发展方程的精确行波解，获得了该方程的扭波、反扭波解，周期波解和不可数无穷多光滑孤立波解的精确的参数表达式，以及上述解存在的参数条件．
- 孤立波解 /
- 扭波解 /
- 反扭波解 /
- 周期波解 /
- 非线性发展方程
Abstract: By using the method of dynamical systems,the travelling wave solutions of for an integrable nonlinear evolution equation was studied.Exact explicit parametric representations of kink and anti-kink wave solutions,periodic wave solutions and uncountably infinite many smooth solitary wave solutions are given.
- solitary wave solution /
- kink wave solution /
- anti-kink wave solution /
- periodic wave solution /
- nonlinear evolution equation

[1]	Wadati M,Ichikawa Y H,Shimizu T.Cusp soliton of a new integrable nonlinear evolution equation[J].Progress of Theoretical Physics,1980,64(6):1959-1967. doi: 10.1143/PTP.64.1959
[2]	LI Ji-bin,DAI Hui-hui.On the Study of Singular Nonlinear Travelling Wave Equations: Dynamical Approach[M].Beijing:Science Press,2007.
[3]	LI Ji-bin,WU Jia-hong,ZHU Huai-ping.Travelling waves for an integrable higher order KdV type wave equations[J].International Journal of Bifurcation and Chaos,2006,16(8):2235-2260. doi: 10.1142/S0218127406016033
[4]	LI Ji-bin,CHEN Guan-rong.On a class of singular nonlinear traveling wave equations[J].International Journal of Bifurcation and Chaos,2007,17(11)：4049-4065. doi: 10.1142/S0218127407019858
[5]	Byrd P F,Fridman M D.Handbook of Elliptic Integrals for Engineers and Sciensists[M].Berlin:Springer,1977.