On integrability of some bi-Hamiltonian two field systems of partial differential equations

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De Sole A., Kac V. G., TURHAN R.

JOURNAL OF MATHEMATICAL PHYSICS, vol.56, no.5, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 56 Issue: 5
  • Publication Date: 2015
  • Doi Number: 10.1063/1.4919542
  • Journal Name: JOURNAL OF MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Ankara University Affiliated: Yes

Abstract

We continue the study of integrability of bi-Hamiltonian systems with a compatible pair of local Poisson structures (H-0, H-1), where H-0 is a strongly skew-adjoint operator. This is applied to the construction of some new two field integrable systems of PDE by taking the pair (H-0, H-1) in the family of compatible Poisson structures that arose in the study of cohomology of moduli spaces of curves. (C) 2015 AIP Publishing LLC.