Orbital stability of the trains of peaked solitary waves for the modified Camassa-Holm-Novikov equation

Abstract

Consideration herein is the stability issue of peaked solitary wave solution for the modified Camassa-Holm-Novikov equation, which is derived from the shallow water theory. This wave configuration accommodates the ordered trains of the modified Camassa-Holm-Novikov-peaked solitary solution. With the application of conservation laws and the monotonicity property of the localized energy functionals, we prove the orbital stability of this wave profile in the H1(R){H}^{1}\left({\mathbb{R}}) energy space according to the modulation argument.

Keywords

• orbital stability
• modified camassa-holm-novikov equation
• shallow water equation
• multi-peakons
• 35b35
• 35g25