A new generalized constrained modified KP hierarchy

Abstract

A new generalization of the constrained modified KP hierarchy is presented in this paper, that is, (L k ) ≤0 = q𝜕 −1 r𝜕 + cL −1 . Then two equivalent formulations of this new generalization are given. One is the bilinear equations in terms of the wave functions and tau functions, where the corresponding Hirota bilinear forms are discussed. Another is expressed by the constraints on the tau functions.