Negative Times of the Davey-Stewartson Integrable Hierarchy

Abstract

We use example of the Davey-Stewartson hierarchy to show that in addition to the standard equations given by Lax operator and evolutions of times with positive numbers, one can consider time evolutions with negative numbers and the same Lax operator. We derive corresponding Lax pairs and integrable equations.

References in corpus (1)

• Commutator identities on associative algebras and integrability of nonlinear pde's

Cited by in corpus (1)

• On a class of exact solutions of the Ishimori equation