Response of exact solutions of the nonlinear Schrödinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetry

DOI10.1088/1751-8121/aa8d25zbMath1384.35118arXiv1707.01574OpenAlexW2730069242MaRDI QIDQ4600920

John F. Dawson, Avinash Khare, Franz G. Mertens, Avadh Saxena, Niurka Rodriguez Quintero, Fred Cooper, Bogdan Mihaila, Edward Arévalo

Publication date: 18 January 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.01574

zbMATH Keywords

stability analysisvariational approximationcollective coordinatesdissipation functionaltraveling wave method

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Supersymmetry and quantum mechanics (81Q60) Traveling wave solutions (35C07)

Related Items (5)

Stability of trapped solutions of a nonlinear Schrödinger equation with a nonlocal nonlinear self-interaction potential ⋮ Parametrically driven nonlinear Dirac equation with arbitrary nonlinearity ⋮ Exact solutions of a generalized variant of the derivative nonlinear Schrödinger equation in a Scarff II external potential and their stability properties ⋮ Stability and response of trapped solitary wave solutions of coupled nonlinear Schrödinger equations in an external, $\mathcal{PT}$- and supersymmetric potential ⋮ Behavior of solitary waves of coupled nonlinear Schrödinger equations subjected to complex external periodic potentials with odd- PT symmetry

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