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arXiv · 2202.12444

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

Avinash Khare·Avadh Saxena
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Abstract

We obtain novel solutions of a coupled $\phi^4$, a coupled nonlinear Schr\"odinger (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.

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Avinash Khare, Avadh Saxena. 2022-02-25. Superposed Hyperbolic Kink and Pulse Solutions of Coupled $\phi^4$, NLS and MKdV Equations. https://doi.org/10.1142/s0217979222501429

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