On integrability of nonautonomous nonlinear Schrödinger equations
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Publication:2845731
DOI10.1090/S0002-9939-2011-11176-6zbMath1291.35364arXiv1012.3661OpenAlexW1994453309MaRDI QIDQ2845731
Publication date: 3 September 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1012.3661
Green's functionpropagatornonlinear Schrödinger equationsLax paircompletely integrable systemsgeneralized harmonic oscillatorsZakharov-Shabat system
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)
Related Items (6)
Characteristics of the breather and rogue waves in a (2+1)-dimensional nonlinear Schrödinger equation ⋮ The Riccati system and a diffusion-type equation ⋮ An Introduction to Special Functions with Some Applications to Quantum Mechanics ⋮ Blow-up results and soliton solutions for a generalized variable coefficient nonlinear Schrödinger equation ⋮ Spatiotemporal engineering of matter-wave solitons in Bose-Einstein condensates ⋮ Solution of paraxial wave equation for inhomogeneous media in linear and quadratic approximation
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