Multi-soliton solutions to the Thirring model through the reduction method

DOI10.1007/BF00420038zbMath0539.35071OpenAlexW2001527147MaRDI QIDQ793914

N. E. Zubov

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf00420038

zbMATH Keywords

reduction methodZakharov-Shabat systemmultisolitonsBäcklund mappingDressing methodThirring models

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (7)

The supersymmetric soliton correlation matrix ⋮ On an extension of the classical Thirring model ⋮ Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model ⋮ Darboux coordinates and isospectral Hamiltonian flows for the massive Thirring model ⋮ The unified approach to integrable relativistic equations: Soliton solutions over nonvanishing backgrounds. I ⋮ The unified approach to integrable relativistic equations: Soliton solutions over nonvanishing backgrounds. II ⋮ An integrodifferential Dirac equation with quantized charge in one space dimension

Cites Work

• The soliton correlation matrix and the reduction problem for integrable systems
• Quadratic pseudopotentials for Gl(N,\({\mathbb{C}})\) principal sigma models

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