Integrable evolution systems based on generalized self-dual Yang-Mills equations and their soliton-like solutions

DOI10.1007/BF00739155zbMath0841.35095MaRDI QIDQ1900488

Chao-Hao Gu

Publication date: 18 July 1996

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

zbMATH Keywords

multi-soliton solutionsYang-Mills equationsDarboux matrix methodsingle soliton solutions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items

Generalized self-dual Yang-Mills flows, explicit solutions and reductions, Symmetry reductions and soliton-like solutions for the variable coefficient MKdV equations, Darboux transformations for a Lax integrable system in \(2n\) dimensions, Integrable evolution systems based on Gerdjikov–Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation, A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations, Travelling wave solutions of nonlinear evolution equations by using symbolic computation, An invariance of the potential fifth-order MKdV equation

Cites Work

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