English

Connections Between Complex PT-Invariant Solutions and Complex Periodic Solutions of Several Nonlinear Equations

Pattern Formation and Solitons 2020-01-08 v1

Abstract

We point out novel connections between complex PT-invariant solutions of several nonlinear equations such as ϕ4\phi^4, ϕ6\phi^6, sine-Gordon, hyperbolic sine-Gordon, double sine-Gordon, double hyperbolic sine-Gordon, mKdV, etc. We then use these connections to obtain several new complex PT-invariant periodic solutions of some of these equations.

Keywords

Cite

@article{arxiv.1808.02159,
  title  = {Connections Between Complex PT-Invariant Solutions and Complex Periodic Solutions of Several Nonlinear Equations},
  author = {Avinash Khare and Avadh Saxena},
  journal= {arXiv preprint arXiv:1808.02159},
  year   = {2020}
}

Comments

27 pages, no figures