Superposed hyperbolic kink and pulse solutions of coupled φ4, NLS and mKdV equations

In this paper, we obtain novel solutions of a coupled phi(4), a coupled nonlinear Schrodinger equation and a coupled modified Korteweg de Vries equation which can be re-expressed as a linear superposition of either the sum or the difference of two hyperbolic pulse solutions or the sum of either a two-kink or a kink and an antikink solution. These results demonstrate that the notion of superposed solutions extends to coupled nonlinear equations as well.

Automated summary

This paper explores novel solutions of coupled nonlinear equations and demonstrates that the concept of superposed solutions extends to coupled nonlinear equations as well.