Orbital stability of the sum of N solitary waves for the hyperelastic-rod wave equation

摘要

In this paper, we consider a model of nonlinear dispersive equation which can be derived in the context of nonlinear waves in hyperelastic rods. Following the strategy developed for the Camassa-Holm equation, we prove the orbital stability of a decoupled sum of N solitary waves in the energy space H-1 (R). (C) 2015 AIP Publishing LLC.