ON THE DISCRETE MODIFIED KP HIERARCHIES: THE WRONSKIAN SOLUTIONS FOR THEIR CONSTRAINED CASES

Authors：Yi, Ge; Wang, Liyun; Tian, Kelei^*; Xu, Ying

Source：REPORTS ON MATHEMATICAL PHYSICS, 2023, 92(1): 85-97.

DOI：10.1016/s0034-4877(23)00057-5

• discrete mKP hierarchies
• Wronskian solutions
• tau functions

The discrete modified KP hierarchies are compatible with generalized ??????-constraints. By means of the gauge transformation, a large class of solutions can be represented by the Wronskian determinants of functions satisfying a set of linear equations. In this paper, we give a sufficient and necessary condition to reduce the discrete mKP hierarchies obtained by the Wronskian solutions to the discrete ??????-constrained mKP hierarchies.