Local and non-local conserved quantities for generalized nonlinear Schrödinger equations

DOI10.1007/BF01214421zbMath0634.35068OpenAlexW2147372500MaRDI QIDQ1096800

A. D. W. B. Crumey

Publication date: 1987

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01214421

zbMATH Keywords

Hermitian symmetric spaceKac-Moody algebraPoisson bracket algebranon-linear Schrödinger equationcomplex parameter

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Nonlinear higher-order PDEs (35G20) Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (3)

Kac-Moody symmetry of generalized nonlinear Schrödinger equations ⋮ Nonlocal Constants of Motions of Equations of Painlevé – Gambier Type and Generalized Sundman Transformation ⋮ A new family of integrable models in (2+1) dimensions associated with Hermitian symmetric spaces

Cites Work

• Unnamed Item
• Nonlinear Schrödinger equations and simple Lie algebras
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS

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