一类广义BBM方程周期行波解的存在性

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

Existence of Periodic Traveling Wave Solutions for a Class of Generalized BBM Equation

Department of Mathematics, Sichuan Union-University, Chengdu 610064, P. R. China

摘要: 本文引入和讨论一类新的广义BBM方程,得到了关于这类广义BBM方程周期行波解的一些存在性定理。
- 广义BBM方程 /
- 周期行波解 /
- 格林函数 /
- 不动点
Abstract: In this paper. a new kind of generalized BBM equation is introduced and discussed Some existence theorems of periodic traveling wave solutions for this kind generalized BBM equation are given.
- generalized BBM equation /
- periodic traveling wave solution /
- Green function /
- fixed point

[1]	郭大均,《非线性泛函分析》,山东科学技术出版社,济南(1985).
[2]	黄南京,一类广义KdV方程周期行波解的存在性,赣南师范学院学报,3 (1992), 14-21
[3]	张卫国、王明亮,B-BBM方程的一类准确行波解及结构,数学物理学报,12 (1992),325-331.
[4]	J.Avrin,The generalized Benjamin-Bona-Mahony equation in Rnwith singular initial data,Nonlinear Analysis,11 (1987),139~147.
[5]	T.B.Benjamin,J.L.Bona and J.J.Mahony,Model equations for long waves in non-linear dispersive systems,Phil.Trans.R.Soc.Lond,A272 (1972),47~78.
[6]	J.A.Goldstein and .B.Wichnoski,On the Benjamin-Bona-Mahony equation in higher dimensions,Nonlinear Analysis,4 (1980),665~675.
[7]	L.A.Medeiros and G.Menzala Perla,Existence and uniqueness for periodic solutions of the Bejamih-Bona-Mahony equation,SIAM J Math.Anal.,8 (1977),792~799.
[8]	D.W.Boyd and J.S.Wong,On nonlinear contraction,Proc.Amer.Math.Soc.20 (1969),458~464.