| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5011629 | Communications in Nonlinear Science and Numerical Simulation | 2017 | 18 Pages |
Abstract
In this paper, we study the stability of modified Korteweg-de Vries equation breather. By using variable separation method, we obtain the exact breather-type soliton solutions. Moreover, this kind of solutions are globally stable in H2 topology, and we describe a simple, mathematical proof of the orbital stability and asymptotic stability of breather-type soliton solutions under a class of small perturbation.
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Authors
Wang Juan, Tian Lixin, Zhang Yingnan,