Painlevé Analysis and Singular Manifold Method for a (2 + 1) Dimensional Non-Linear Schrödinger Equation

DOI10.2991/jnmp.2001.8.s.19zbMath0981.35081OpenAlexW4254427713MaRDI QIDQ2732465

G. A. Hernáez, Pilar G. Estevez

Publication date: 29 October 2001

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

Full work available at URL: https://doi.org/10.2991/jnmp.2001.8.s.19

zbMATH Keywords

nonlinear Schrödinger equationDarboux transformationsLax pairPainlevé analysis

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55)

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Cites Work

• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• On the structure and properties of the singularity manifold equations of the KP hierarchy
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• The Painlevé property for partial differential equations
• Darboux transformations via Painlevé analysis
• Factorization of the 'classical Boussinesq' system
• Modified singular manifold expansion: application to the Boussinesq and Mikhailov-Shabat systems

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