English

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

Pattern Formation and Solitons 2022-02-15 v1

Abstract

We show that a number of nonlinear equations including symmetric as well as asymmetric ϕ4\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.

Keywords

Cite

@article{arxiv.2202.06223,
  title  = {Novel Superposed Kink and Pulse Solutions for $\phi^4$, MKdV, NLS and Other Nonlinear Equations},
  author = {Avinash Khare and Avadh Saxena},
  journal= {arXiv preprint arXiv:2202.06223},
  year   = {2022}
}

Comments

34 pages, no figures