Lorentzian Solitary Wave in a Generalised Nonlinear Schrödinger Equation

Abstract

We obtain a travelling-wave solution of a generalised nonlinear Schrödinger equation with an additional term of the form $\Gamma (\psi (x,t))=\lambda \psi (x,t{)}^q$, where $\lambda$ 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.

9 pages. To appear in Physics Letters A

References in corpus (2)

• Solutions for a q-generalized Schrödinger equation of entangled interacting particles
• Classical and \textcolor{blue}{Quantum} Field-Theoretical approach to the non-linear q-Klein-Gordon Equation

Cited by in corpus (2)

• Generalized and new solutions of the NRT nonlinear Schrödinger equation
• A Nonlinear $q$-Deformed Schrödinger Equation