Inverse spectral transform for the Ishimori equation: I. Initial value problem

DOI10.1063/1.528978zbMath0733.47041OpenAlexW2063718328MaRDI QIDQ3359266

B. G. Konopelchenko, B. T. Matkarimov

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528978

zbMATH Keywords

initial value problem for the \((2+1)\)-dimensional integrable generalization of the \((1+1)\)-dimensional continuous Heisenberg ferromagnet modelnonlocal Riemann-Hilbert problems

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) General theory of partial differential operators (47F05) Electromagnetic interaction; quantum electrodynamics (81V10)

Related Items (5)

Relations between hierarchies and inverse scattering ⋮ Novel extended Zn-Heisenberg ferromagnet models ⋮ Coherent structures for the Ishimori equation. II: Time-dependent boundaries ⋮ Boundary value problems on the half-plane for the Ishimori equation that are compatible with the inverse scattering method ⋮ Localized coherent structures of Ishimori equation I through Hirota's bilinearization method: Time dependent/stationary boundaries

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