Dispersionless (3+1)-dimensional integrable hierarchies

Abstract

In the present paper we introduce a multi-dimensional version of the R-matrix approach to the construction of integrable hierarchies. Applying this method to the case of the Lie algebra of functions with respect to the contact bracket, we construct integrable hierarchies of (3+1)-dimensional dispersionless systems of the type recently introduced by one of us in arXiv:1401.2122.

15 pages, no figures

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Cited by in corpus (3)

• Integrable (3+1)-dimensional system with an algebraic Lax pair
• Recursion Operators for Multidimensional Integrable PDEs
• Contact Lie systems on Riemannian and Lorentzian spaces: from scaling symmetries to curvature-dependent reductions