A note on the stability for Kawahara-KdV type equations

Details A note on the stability for Kawahara-KdV type equations A note on the stability for Kawahara-KdV type equations

2007-06-29

arxiv.org/abs/0706.4459v2

Mathematics

Analysis of PDEs

8 pages, no figures

Scientific paper

In this paper we establish the nonlinear stability of solitary traveling-wave solutions for the Kawahara-KdV equation $$u_t+uu_x+u_{xxx}-\gamma_1 u_{xxxxx}=0,$$ and the modified Kawahara-KdV equation $$u_t+3u^2u_x+u_{xxx}-\gamma_2 u_{xxxxx}=0,$$ where $\gamma_i\in\mathbb{R}$ is a positive number when $i=1,2$. The main approach used to determine the stability of solitary traveling-waves will be the theory developed by Albert

Affiliated with

Also associated with

No associations

Rating

A note on the stability for Kawahara-KdV type equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A note on the stability for Kawahara-KdV type equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A note on the stability for Kawahara-KdV type equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-682269