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

B. G. Konopelchenko, B. T. Matkarimov

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Abstract

The initial value problem for the (2 + 1 )-dimensional integrable generalization of the (1 + 1)-dimensional continuous Heisenberg ferromagnet model (Ishimori-I,II equations) is solved by the ∂̄ and nonlocal Riemann-Hilbert problems (NRHP) method.

Original languageEnglish
Pages (from-to)2737-2746
Number of pages10
JournalJournal of Mathematical Physics
Volume31
Issue number11
DOIs
Publication statusPublished - Jan 1 1990

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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