Novel Superposed Kink and Pulse Solutions for ${\varphi }^4$, MKdV, NLS and Other Nonlinear Equations

Abstract

We show that a number of nonlinear equations including symmetric as well as asymmetric ${\varphi }^4$, modified Korteweg de Vries (MKdV), mixed KdV-MKdV, nonlinear Schrödinger (NLS), quadratic-cubic NLS as well as higher order neutral scalar field theories, higher order KdV-MKdV and higher order quadratic-cubic NLS admit superposed periodic kink and pulse solutions and some of them also admit superposed hyperbolic kink solutions.

34 pages, no figures