Exact solutions of the multidimensional derivative nonlinear Schrodinger equation for many-body systems of criticality

DOI10.1088/0305-4470/23/19/013zbMath0738.35090OpenAlexW2024412647MaRDI QIDQ3970231

Peter A. Clarkson, Jack A. Tuszyński

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1088/0305-4470/23/19/013

zbMATH Keywords

Klein-Gordon equationcomplete integrabilitynonlinear Schrödinger equationsPainlevé testmany-body quantum systemsexplicit propagating plane waves solutionstime rescaled plane wave ansatz

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

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