On integrable two-dimensional generalizations of nonlinear Schrödinger type equations.

DOI10.1016/S0375-9601(97)00283-1zbMath1052.35515OpenAlexW2012485483WikidataQ61835420 ScholiaQ61835420MaRDI QIDQ1968313

Ravil I. Yamilov, Alexander V. Mikhailov

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(97)00283-1

Mathematics Subject Classification ID

Related Items (2)

Functional representation of the negative DNLS hierarchy ⋮ Systematic method of generating new integrable systems via inverse Miura maps

Cites Work

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• Extension of the module of invertible transformations. Classification of integrable systems
• To a transformation theory of two-dimensional integrable systems
• Finding Eigenvalue Problems for Solving Nonlinear Evolution Equations
• Simple Derivation of Backlund Transformation from Riccati Form of Inverse Method
• General Derivation of Bäcklund Transformations from Inverse Scattering Problems
• Bäcklund transformations and nonlinear differential difference equations
• The inverse scattering transform: Semi-infinite interval
• Conditions for the existence of higher symmetries of evolutionary equations on the lattice
• Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
• Backlund transformations via gauge transformations in 2+1 dimensions
• On three-dimensional packets of surface waves
• Explicit auto-transformations of integrable chains

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