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

DOI10.1063/1.530403zbMath0777.35081OpenAlexW4237544923MaRDI QIDQ3136673

B. S. Getmanov, V. E. Kovtun, 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/10.1063/1.530403

zbMATH Keywords

integrable systems\(N\)-soliton solutionThirring modelcomplex sine-Gordon equationinverse scattering formalism\(N\)-kink solutionsLorentz- invariant field

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)

Related Items (7)

\(N\)-soliton-type solutions of the self-dual Yang-Mills equations in \(M^ 4\) ⋮ Solvability of the derivative nonlinear Schrödinger equation and the massive Thirring model ⋮ Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model ⋮ \(N\)-bright-dark soliton solution to a semi-discrete vector nonlinear Schrödinger equation ⋮ Integrable coupled massive Thirring model with field values in a Grassmann algebra ⋮ Darboux transformation and soliton solutions of the semi-discrete massive Thirring model ⋮ The unified approach to integrable relativistic equations: Soliton solutions over nonvanishing backgrounds. II

Cites Work

• Multi-soliton solutions to the Thirring model through the reduction method
• The soliton correlation matrix and the reduction problem for integrable systems
• The reduction problem and the inverse scattering method
• Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
• Integrable nonlinear Klein-Gordon equations and Toda lattices
• Two-dimensional generalized Toda lattice
• Integrable Hamiltonian systems and interactions through quadratic constraints
• The unified approach to integrable relativistic equations: Soliton solutions over nonvanishing backgrounds. II

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