Vahagn Manukian, Postdoctoral Fellow, North Carolina State University

Existence of Multi-Pulse Solutions of the Regularized Short Pulse and Ostrovsky Equations

Abstract: We consider traveling wave solutions of Short pulse and Ostrovsky equations which are singularly perturbed by a small parameter. Upon switching on the parameter, the primary pulse solution undergoes an orbit flip bifurcation and decays with slower exponential rate. By using Lin's method and Lyapunov Schmidt reduction we show that multi-pulse solutions exist for Short Pulse and Ostrovsky equations. This is a joint work with N. Costanzino and C. Jones