A variable coefficient nonlinear Schrödinger equation with a four-dimensional symmetry group and blow-up

DOI10.1080/00036811.2012.676165zbMath1291.35345arXiv1101.2307OpenAlexW3103540120WikidataQ58141822 ScholiaQ58141822MaRDI QIDQ2841209

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Publication date: 24 July 2013

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.2307

zbMATH Keywords

blow-upexact solutionsvariable coefficient nonlinear Schrödinger equation\(\mathrm{SL}(2,\mathbb R)\) invariance

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Other special methods applied to PDEs (35A25) Blow-up in context of PDEs (35B44) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (2)

Traveling wave solutions of some important Wick-type fractional stochastic nonlinear partial differential equations ⋮ On some canonical classes of cubic-quintic nonlinear Schrödinger equations

Cites Work

• Self-similar solutions of the pseudo-conformally invariant nonlinear Schrödinger equation
• Two remarks on a generalized Davey-Stewartson system
• The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation
• The generalized Davey-Stewartson equations, its Kac-Moody-Virasoro symmetry algebra and relation to Davey-Stewartson equations
• Exact blow-up solutions to the Cauchy problem for the Davey–Stewartson systems
• Symmetry classes of variable coefficient nonlinear Schrodinger equations
• Existence of pseudo-conformally invariant solutions to the Davey-Stewartson system

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