2 papers
nlin.PS2026
Regularizations for shock and rarefaction waves in the perturbed solitons of the KP equation
Guangfu Han, Yuji Kodama, Chuanzhong Li +1
Using an asymptotic perturbation method, we study the initial value problem for the KP equation with initial data consisting of parts of exact line-soliton solutions. We consider a…
nlin.SI2025
Non-crossing permutations for the KP solitons under the Gel'fand-Dickey reductions and the vertex operators
Shilong Huang, Yuji Kodama, Chuanzhong Li
We give a classification of the soliton solutions of the KP hierarchy, referred to as the , under the Gel'fand-Dickey -reductions in terms of the permu…