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

Avinash Khare; Avadh Saxena

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arXiv · 2202.06223

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

Avinash Khare·Avadh Saxena

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Abstract

We show that a number of nonlinear equations including symmetric as well as asymmetric $\phi^4$, modified Korteweg de Vries (MKdV), mixed KdV-MKdV, nonlinear Schr\"odinger (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.

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Avinash Khare, Avadh Saxena. 2022-02-13. Novel Superposed Kink and Pulse Solutions for $\phi^4$, MKdV, NLS and Other Nonlinear Equations. https://arxiv.org/abs/2202.06223

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