The Cauchy problem of the Ward equation with mixed scattering data

DOI10.1063/1.3013120zbMath1159.81343arXiv0806.0444OpenAlexW2031988994MaRDI QIDQ3624651

Derchyi Wu

Publication date: 30 April 2009

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

Full work available at URL: https://arxiv.org/abs/0806.0444

zbMATH Keywords

soliton solutionsBäcklund transformationLax pairinverse scattering problemSelf-dual Yang-Mills equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Yang-Mills and other gauge theories in quantum field theory (81T13) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (1)

Global solutions to space-time monopole equations in one space dimension

Cites Work

• Ward's solitons
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Nontrivial scattering of localized solitons in a \((2+1)\)-dimensional integrable system
• Scattering and inverse scattering for first order systems
• Inverse scattering and evolution equations
• Soliton solutions in an integrable chiral model in 2+1 dimensions
• The Inverse Problem for Ward's System
• Ward’s Solitons II: Exact Solutions
• Solutions of the modified chiral model in (2+1) dimensions
• Explicit Construction and Parametrization of Harmonic Two-Spheres in the Unitary Group
• Soliton solutions and nontrivial scattering in an integrable chiral model in (2+1) dimensions

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