Soliton solutions and gauge equivalence for the problem of Zakharov–Shabat and its generalizations

DOI10.1063/1.531467zbMath0868.35113OpenAlexW2043941382MaRDI QIDQ5284319

Y. S. Vaklev

Publication date: 21 August 1997

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

Full work available at URL: https://doi.org/10.1063/1.531467

zbMATH Keywords

nonlinear Schrödinger equationsoliton solutionsLandau-Lifshitz equationmassive Thirring modelHeisenberg ferromagnet equationquadratic bundle problemrelativistic Mikhailov model

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51)

Related Items (1)

Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model

Cites Work

• Evolution equations, singular dispersion relations, and moving eigenvalues
• Gauge transformations for the quadratic bundle
• An exact solution for a derivative nonlinear Schrödinger equation
• Soliton solutions and gauge equivalence for the quadratic bundle
• Some soliton solutions for the quadratic bundle

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