Stability of exact solutions of the nonlinear Schrödinger equation in an external potential having supersymmetry and parity-time symmetry

DOI10.1088/1751-8113/50/1/015301zbMath1357.35259arXiv1604.03970OpenAlexW3102349494MaRDI QIDQ2965339

Avinash Khare, John F. Dawson, Fred Cooper, Bogdan Mihaila, Avadh Saxena, Andrew Komech

Publication date: 2 March 2017

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

Full work available at URL: https://arxiv.org/abs/1604.03970

zbMATH Keywords

nonlinear Schrödinger equationdynamical systemsupersymmetryPT symmetrysoliton stability

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Supersymmetry and quantum mechanics (81Q60) Soliton solutions (35C08)

Related Items (5)

Stability of trapped solutions of a nonlinear Schrödinger equation with a nonlocal nonlinear self-interaction potential ⋮ 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 ⋮ Stability of new exact solutions of the nonlinear Schrödinger equation in a Pöschl–Teller external potential ⋮ Empirical stability criteria for parametrically driven solitons of the nonlinear Schrödinger equation ⋮ Behavior of solitary waves of coupled nonlinear Schrödinger equations subjected to complex external periodic potentials with odd- PT symmetry

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