A new generalized constrained modified KP hierarchy

A new generalization of the constrained modified KP hierarchy is presented in this paper, that is, (Lk)<= 0=q partial differential -1r partial differential +cL-1$$ {\left({L} circumflex k\right)}_{\le 0} equal to q{\partial} circumflex {-1}r\partial +c{L} circumflex {-1} $$. 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.

Automated summary

A new generalization of the constrained modified KP hierarchy is presented in this paper, and two equivalent formulations are given, one based on the bilinear equations of the wave functions and tau functions, and the other based on the constraints on the tau functions.