On the travelling wave solutions of some high-order nonlinear wave equations: Dynamical System approach [ Back ]

Date:
11.05.15   
Times:
15:30 to 16:15
Place:
UAB - Dept. Matemàtiques (C1/-128)
Speaker:
Jibin Li
University:
Zhejiang Normal University

Abstract:

For the Lax KdV5 equation and the KdV–Sawada–Kotera–Ramani equation, their corresponding four-dimensional traveling wave systems are studied by using Congrove’s method. Exact explicit gap soliton, embedded soliton, periodic and quasi-periodic wave solutions are obtained. The existence of homoclinic manifolds to three kinds of equilibria including a hyperbolic equilibrium, a center-saddle and an equilibrium with zero pair of eigenvalues is revealed. The bifurcation conditions of equilibria are given.