Variable coefficient nonlinear Schrödinger equations with four-dimensional symmetry groups and analysis of their solutions

DOI10.1063/1.3634005zbMath1272.35178arXiv1102.3814OpenAlexW1802783609MaRDI QIDQ2849780

F. Güngör, Cihangir Özemir

Publication date: 24 September 2013

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

Full work available at URL: https://arxiv.org/abs/1102.3814

zbMATH Keywords

bound statesreduced ordinary differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of Lie groups to the sciences; explicit representations (22E70) NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Symmetries, invariants, etc. in context of PDEs (35B06) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

On some canonical classes of cubic-quintic nonlinear Schrödinger equations ⋮ Symmetry classification of variable coefficient cubic-quintic nonlinear Schrödinger equations

Cites Work

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• Symmetry classes of variable coefficient nonlinear Schrodinger equations
• Group-invariant solutions of the (2+1)-dimensional cubic Schrödinger equation
• Integrability of an inhomogeneous nonlinear Schrödinger equation in Bose–Einstein condensates and fiber optics
• A comparative analysis of Painlevé, Lax pair, and similarity transformation methods in obtaining the integrability conditions of nonlinear Schrödinger equations

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