Painlevé test of coupled Gross-Pitaevskii equations

DOI10.1088/0305-4470/34/23/312zbMath0978.35063arXivnlin/0309056OpenAlexW3103314812MaRDI QIDQ2755770

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Publication date: 12 November 2001

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

Full work available at URL: https://arxiv.org/abs/nlin/0309056

zbMATH Keywords

compatibility conditionPainlevé testtwo-component Bose-Einstein condensatesGross-Pitaevskii equationsexternal potentials

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) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (2)

Painlevé singularity structure analysis of three component Gross–Pitaevskii type equations ⋮ A comparative analysis of Painlevé, Lax pair, and similarity transformation methods in obtaining the integrability conditions of nonlinear Schrödinger equations

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