Linear integral equations and multicomponent nonlinear integrable systems. I

DOI10.1016/0378-4371(86)90063-4zbMath0697.35133OpenAlexW4237297690MaRDI QIDQ910965

N. E. Zubov

Publication date: 1986

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(86)90063-4

zbMATH Keywords

Bäcklund transformationsmulticomponentintegrable nonlinear partial differential equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Quantum field theory; related classical field theories (81T99) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (3)

Linear integral transformations and hierarchies of integrable nonlinear evolution equations ⋮ Linear integral equations and multicomponent nonlinear integrable systems. II ⋮ Linearizing integral transform for the multicomponent lattice KP

Cites Work

• Unnamed Item
• A new approach to the self-dual Yang-Mills equations
• The reduction problem and the inverse scattering method
• The generating operator for the n \(\times n\) linear system
• On the general structure of nonlinear evolution equations integrable by the two-dimensional matrix spectral problem
• The anisotropic Heisenberg spin chain and the nonlinear Schrödinger equation
• Nonlinear Schrödinger equations and simple Lie algebras
• On the theory of recursion operator
• Bäcklund transformations and singular integral equations
• Linear integral equations and nonlinear difference-difference equations
• On some linear integral equations generating solutions of nonlinear partial differential equations
• The direct linearization of a class of nonlinear evolution equations
• Scattering and inverse scattering for first order systems
• Derivative nonlinear Schrodinger equations and Hermitian symmetric spaces
• Gauge equivalence of exactly integrable field theoretic models
• The Two Component Derivative Nonlinear Schrodinger Equation
• Exact envelope-soliton solutions of a nonlinear wave equation

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