Gauge transformations for the quadratic bundle

DOI10.1063/1.528263zbMath0689.53046OpenAlexW2037037855MaRDI QIDQ3031587

Y. S. Vaklev

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528263

zbMATH Keywords

Schrödinger equationnonlinear evolution equationsLandau-Lifshitz equationHamiltonian structuresGauge transformationssolition solutions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of global differential geometry to the sciences (53C80) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (3)

Soliton solutions and gauge equivalence for the problem of Zakharov–Shabat and its generalizations ⋮ Soliton solutions and gauge equivalence for the quadratic bundle ⋮ Some soliton solutions for the quadratic bundle

Cites Work

• Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
• Evolution equations, singular dispersion relations, and moving eigenvalues
• An exact solution for a derivative nonlinear Schrödinger equation
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Gauge transformations and generating operators for the discrete Zakharov-Shabat system

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