A new $({\gamma }_n,{\sigma }_k)-$ KP hierarchy and generalized dressing method

Abstract

A new (γ_n,σ_k)-KP hierarchy with two new time series γ_n and σ_k, which consists of γ_n-flow, σ_k-flow and mixed γ_n and σ_k evolution equations of eigenfunctions, is proposed. Two reductions and constrained flows of (γ_n,σ_k)-KP hierarchy are studied. The dressing method is generalized to the (γ_n,σ_k)-KP hierarchy and some solutions are presented.

14 pages, to appear in Journal of Nonlinear Mathematical Physics

References in corpus (4)

• A new extended KP hierarchy
• A Generalized Dressing Approach for Solving the Extended KP and the Extended mKP Hierarchy
• A new extended q-deformed KP hierarchy
• A new extended discrete KP hierarchy and generalized dressing method

Cited by in corpus (1)

• Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy