On a construction of multi-soliton solutions of the Pohlmeyer-Lund-Regge system and the classical massive Thirring model

DOI10.3792/pjaa.55.278zbMath0449.35079OpenAlexW1976420138MaRDI QIDQ1147303

Etsuro Date

Publication date: 1979

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.55.278

zbMATH Keywords

inverse scattering methodmulti-soliton solutionsclassical massive Thirring modelsystem of Pohlmeyer- Lund-Regge

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Applications of quantum theory to specific physical systems (81V99) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (3)

Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model ⋮ Monodromy preserving deformation and its application to soliton theory. II ⋮ Nonlocal integrable PDEs from hierarchies of symmetry laws: the example of Pohlmeyer-Lund-Regge equation and its reflectionless potential solutions

Cites Work

• Unnamed Item
• Algebraic aspects of nonlinear differential equations
• On a direct method of constructing multi-soliton solutions
• Commutative subrings of certain noncommutative rings
• Integration of nonlinear equations by the methods of algebraic geometry
• Classically solvable field theory model
• Conservation laws for a string in a static field
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Unified approach to strings and vortices with soliton solutions

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