Linear integral equations and multicomponent nonlinear integrable systems. II

DOI10.1016/0378-4371(89)90420-2zbMath0711.35135OpenAlexW2081278732MaRDI QIDQ923270

Elsie Sterbin Gottlieb

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0378-4371(89)90420-2

zbMATH Keywords

derivative nonlinear Schrödinger equationMiura transformationsmassive Thirring modeldirect linearizationgauge equivalencescomplex sine-GordonGetmanov equationisotropic Heisenberg spin chain

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) PDEs in connection with quantum mechanics (35Q40) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) General mathematical topics and methods in quantum theory (81Q99)

Related Items (4)

Quasi-periodic solutions for an extension of AKNS hierarchy and their reductions ⋮ Multi-component bi-Hamiltonian Dirac integrable equations ⋮ New reductions of integrable matrix partial differential equations: Sp(m)-invariant systems ⋮ Systematic method of generating new integrable systems via inverse Miura maps

Cites Work

• Unnamed Item
• Unnamed Item
• Linearizing integral transform for the multicomponent lattice KP
• Linear integral equations and multicomponent nonlinear integrable systems. I
• Nonlinear Schrödinger equations and simple Lie algebras
• On Heisenberg models with values in Hermitian symmetric spaces
• Bäcklund transformations and singular integral equations
• Linear integral equations and nonlinear difference-difference equations
• Linear integral transformations and hierarchies of integrable nonlinear evolution equations
• On some linear integral equations generating solutions of nonlinear partial differential equations
• Soliton Solutions of the Derivative Nonlinear Schrödinger Equation
• A Generalization of Inverse Scattering Method
• Multi-Soliton Solutions of a Derivative Nonlinear Schrödinger Equation
• A test for the integrability of nonlinear evolution equations
• Derivative nonlinear Schrodinger equations and Hermitian symmetric spaces
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. II
• Reduction of the CP N nonlinear sigma model
• Gauge equivalence of exactly integrable field theoretic models
• An exact solution for a derivative nonlinear Schrödinger equation
• Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
• The Two Component Derivative Nonlinear Schrodinger Equation
• Exact envelope-soliton solutions of a nonlinear wave equation

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