49 citations · 91 across the 4 of their papers we have counts for
4 papers
Darboux Transformation and Variable Separation Approach: the Nizhnik-Novikov-Veselov equation
Heng-chun Hu, Sen-yue Lou, Qing-ping Liu
Darboux transformation is developed to systematically find variable separation solutions for the Nizhnik-Novikov-Veselov equation. Starting from a seed solution with some arbitrary…
New Darboux Transformation for Hirota-Satsuma coupled KdV System
Heng Chun Hu, Q. P. Liu
A new Darboux transformation is presented for the Hirota-Satsuma coupled KdV system. It is shown that this Darboux transformation can be constructed by means of two methods: Painle…
Second order Lax pairs of nonlinear partial differential equations with Schwarz variants
Sen-yue Lou, Xiao-yan Tang, Qing-Ping Liu +1
In this paper, we study the possible second order Lax operators for all the possible (1+1)-dimensional models with Schwarz variants and some special types of high dimensional model…
Miura Map between Lattice KP and its Modification is Canonical
Q. P. Liu
We consider the Miura map between the lattice KP hierarchy and the lattice modified KP hierarchy and prove that the map is canonical not only between the first Hamiltonian structur…