Existence of a Lax pair for any member of the class of nonlinear evolution equations associated to the matrix Schrödinger spectral problem

DOI10.1007/BF02745063zbMath0466.35030OpenAlexW2068875868MaRDI QIDQ3918472

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Publication date: 1980

Published in: Lettere Al Nuovo Cimento Series 2 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02745063

zbMATH Keywords

potentialSchrödinger operatornonlinear evolution equationLax pair

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (2)

Backlund transformations and Lax technique ⋮ Infinitely many conservation laws for two integrable lattice hierarchies associated with a new discrete Schrödinger spectral problem

Cites Work

• Integrals of nonlinear equations of evolution and solitary waves

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