Integrability of the chiral equations with torsion term

DOI10.1088/0951-7715/1/4/009zbMath0681.35080OpenAlexW1969641817MaRDI QIDQ4730193

Richard Samuel Ward

Publication date: 1988

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/1/4/009

zbMATH Keywords

Painlevé testintegrablechiral equation

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Partial differential equations on manifolds; differential operators (58J99) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Twistors in 2+1 dimensions ⋮ Integrable systems and reductions of the self-dual Yang–Mills equations ⋮ Numerical twistor procedure for solving a nonlinear field equation ⋮ Solutions to the \(\mathrm{SU}(\mathcal{N})\) self-dual Yang-Mills equation ⋮ Exact solutions of the one-dimensional generalized modified complex Ginzburg-Landau equation ⋮ Classical solutions of the chiral model, unitons, and holomorphic vector bundles ⋮ Nontrivial scattering of localized solitons in a \((2+1)\)-dimensional integrable system ⋮ Conserved quantities for integrable chiral equations in \(2+1\) dimensions ⋮ A note on Ward's chiral model ⋮ Extended wave solutions in an integrable chiral model in (2+1) dimensions ⋮ GAUGE THEORY DEFORMATIONS AND NOVEL YANG–MILLS CHERN–SIMONS FIELD THEORIES WITH TORSION ⋮ Topology and energy of time-dependent unitons ⋮ Moduli spaces with external fields ⋮ Yang-Mills-Higgs soliton dynamics in \(2+1\) dimensions ⋮ Skyrmion dynamics in \((2+1)\) dimensions.

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