Integrable (3+1)-dimensional systems with rational Lax pairs

Abstract

The search for new integrable (3+1)-dimensional partial differential systems is among the most important challenges in the modern integrability theory. It turns out that such a system can be associated to any pair of rational functions of one variable in general position, as established below using contact Lax pairs introduced in arXiv:1401.2122.

4 pages, no figures; this is a follow-up of arXiv:1401.2122v5

References in corpus (1)

• A Simple Construction of Recursion Operators for Multidimensional Dispersionless Integrable Systems

Cited by in corpus (5)

• Reductions of the (4 + 1)-dimensional Fokas equation and their solutions
• Contact variational integrators
• Integrable (3+1)-dimensional system with an algebraic Lax pair
• Multidimensional integrable systems from contact geometry
• Integrable (3+1)-dimensional generalization for dispersionless Davey--Stewartson system