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

Yuqin Yao, Yehui Huang, Yunbo Zeng

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. Tw…