Breather solutions of a negative order modified Korteweg-de Vries equation and its nonlinear stability

Publication date: Available online 5 March 2019Source: Physics Letters AAuthor(s): Jingqun Wang, Lixin Tian, Yingnan ZhangAbstractThis paper is concerned with a negative order modified Korteweg-de Vries (nmKdV) equation which is in the negative flow of the mKdV hierarchy. We construct the breather solutions by Hirota's bilinear method and derive the infinite conservation laws through the Lax pair of the nmKdV equation. By constructing a new Lyapunov function with the conservation laws, we obtain the nonlinear stability of the breather solutions.

Source: Physics Letters A - March 6, 2019 Category: Physics Source Type: research