Novel y-type and hybrid solutions for the (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation

Abstract

In this paper, the research object is (2+1)-dimensional KdVSKR equation. After adding new constraint, new solutions which contain y-type molecules are obtained. The process of lump molecules and y-type molecules before and after the collision is studied by long-wave limit method, and the kinetic behavior analysis is given. The interactions between y-type molecules and resonant soliton molecules, y-type molecules and breather molecules are obtained by combining velocity resonance method and mode resonance method, respectively. Finally, a novel hybrid solution containing lump molecule, breather molecule and y-type molecule is given, and the kinetic behavior is shown.

New interaction solutions of the KdV-Sawada-Kotera-Ramani equation in various dimensions

“…The soliton molecules are obtained by velocity resonance mechanism and multi-breather solutions are constructed through complex conjugation relations [29]. New y-type molecules are studied by giving new constraint and some hybrid solutions with y-type molecules is obtained by using velocity resonance method and mode resonance method [30]. The primary purpose of the work is to explore the various interaction solutions of the KdVSKR equation in various dimensions.…”