Resumen de Exact Solutions in Invariant Manifolds of Some Higher-Order Models Describing Nonlinear Waves

Jibin Li, Yan Zhou

• In this paper, we study the exact traveling wave solutions for five high-order nonlinear wave equations using the dynamical system approach. Based on Cosgrove’s work and the dynamical system method, infinitely many soliton solutions and quasi-periodic solutions are presented in an explicit form. We show the existence of uncountably infinite many double-humped solitary wave solutions. We discuss the parameters range as well as geometrical explanation of soliton solutions.