Superposed Hyperbolic Kink and Pulse Solutions of Coupled ${\varphi }^4$, NLS and MKdV Equations

Abstract

We obtain novel solutions of a coupled ${\varphi }^4$, a coupled nonlinear Schrödinger (NLS) and a coupled modified Korteweg de Vries (MKdV) model which can be re-expressed as a linear superposition of either the sum or the difference of two hyperbolic kink or two hyperbolic pulse solutions. These results demonstrate that the notion of superposed solutions extends to coupled nonlinear equations as well.

19 pages, no figures

References in corpus (4)

• Soliton trapping in multimode fibers with random mode coupling
• Orbit-based deformation procedure for two-field models
• Topological defects with power-law tails
• Extended solutions via the trial-orbit method for two-field models

Cited by in corpus (1)

• Superposed periodic kink and pulse solutions of coupled nonlinear equations