Painlevé analysis for a nonlinear Schrödinger equation in three dimensions

DOI10.1007/BF00669420zbMath0663.35064MaRDI QIDQ1114086

A. Roy Chowdhury, Pranab K. Chanda

Publication date: 1987

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

nonlinear Schrödinger equationcomplete integrabilityPainlevé analysisCauchy- Kovalevskaya theorem

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear higher-order PDEs (35G20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• The Painlevé property for partial differential equations
• Specific Solutions to Nonlinear Schrodinger Equation in Two Spatial Dimension

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