The unified approach to integrable relativistic equations: Soliton solutions over nonvanishing backgrounds. II

DOI10.1063/1.530062zbMath0777.35082OpenAlexW1982842587MaRDI QIDQ3136674

B. S. Getmanov, Igor V. Barashenkov

Publication date: 21 October 1993

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

Full work available at URL: https://doi.org/10.1063/1.530062

zbMATH Keywords

\(N\)-soliton solutionmassive Thirring modelcomplex sine-Gordon equation\(N\)-kink solution

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

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Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model ⋮ Vector breathers in the Manakov system ⋮ \(N\)-bright-dark soliton solution to a semi-discrete vector nonlinear Schrödinger equation ⋮ Integrable coupled massive Thirring model with field values in a Grassmann algebra ⋮ Inverse Scattering for the Massive Thirring Model ⋮ Darboux transformation and soliton solutions of the semi-discrete massive Thirring model ⋮ On Vortex Solutions and Links between the Weierstrass System and the Complex Sine-Gordon Equations ⋮ Nonlinear \(\sigma\)-model in a curved space, gauge equivalence, and exact solutions of \((2+0)\)-dimensional integrable equations ⋮ Pohlmeyer's transformation and the \((2+0)\) integrable equations of statistical physics ⋮ The unified approach to integrable relativistic equations: Soliton solutions over nonvanishing backgrounds. I

Cites Work

• Multi-soliton solutions to the Thirring model through the reduction method
• Classically solvable field theory model
• Integrable Hamiltonian systems and interactions through quadratic constraints
• The unified approach to integrable relativistic equations: Soliton solutions over nonvanishing backgrounds. I
• Unified approach to strings and vortices with soliton solutions

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