Lorentzian Solitary Wave in a Generalised Nonlinear Schrödinger Equation

2019/11/25 by M. A. Rego-Monteiro · 1 citation
Physics and Astronomy · #nlin.PS #nlin.SI

paper · pdf · doi:10.1016/j.physleta.2019.126132

9 pages. To appear in Physics Letters A

arxiv created 2019/11/25 · arxiv updated 2019/12/02

Abstract

We obtain a travelling-wave solution of a generalised nonlinear Schrödinger equation with an additional term of the form Γ(ψ(x,t)) = λψ(x,t)^q, where λ and q are real constants. Moreover, we show that the density of energy of the system for the travelling-wave solution presents a Lorentzian solitary wave behaviour.

Cited by

• A Nonlinear q-Deformed Schrödinger Equation