A strange recursion operator for a new integrable system of coupled Korteweg-de Vries equations

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Karasu A., Karasu A., Sakovich S.

ACTA APPLICANDAE MATHEMATICAE, vol.83, pp.85-94, 2004 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 83
  • Publication Date: 2004
  • Doi Number: 10.1023/b:acap.0000035590.28726.b3
  • Journal Name: ACTA APPLICANDAE MATHEMATICAE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.85-94
  • Keywords: coupled Korteweg-de Vries equations, zero-curvature representations, recursion operators, generalized symmetries
  • Middle East Technical University Affiliated: Yes

Abstract

A recursion operator is constructed for a new integrable system of coupled Korteweg de Vries equations by the method of gauge-invariant description of zero-curvature representations. This second-order recursion operator is characterized by unusual structure of its nonlocal part.