12 citations · 21 across the 9 of their papers we have counts for
7 papers · 1 filter
Nonlocal symmetries and exact solutions of the (2+1)-dimensional generalised variable coefficient shallow water wave equation
Xiangpeng Xin, Linlin Zhang, Yarong Xia +1
In this paper, using the standard truncated Painleve analysis, the Schwartzian equation of (2+1)-dimensional generalised variable coefficient shallow water wave (SWW)equation is ob…
High order nonlocal symmetries and exact solutions of variable coefficient KdV equation
Xiangpeng Xin, Hanze Liu, Linlin Zhang
In this paper, nonlocal symmetries and exact solutions of variable coefficient Korteweg-de Vries (KdV) equation are studied for the first time. Using pseudo-potential, high order n…
Nonlocal Symmetries and Interaction Solutions of the (2+1)-dimensional Higher Order Broer-Kaup System
Xin Xiangpeng
The (2+1)-dimensional higher-order Broer-Kaup (HBK) system is studied by nonlocal symmetry method and consistent tanh expansion (CTE) method in this paper. Some exact interaction s…
Explicit solutions, conservation laws of the extended (2+1)-dimensional Jaulent-Miodek equation
Yu Li, Xiqiang Liu, Xiangpeng Xin
By applying the direct symmetry method, the symmetry reductions and some new group invariant solutions were obtained, We have derived some exact solutions by using the relationship…
Interaction solutions for (1+1)-dimensional higher-order Broer Kaup system
Xiangpeng Xin
The (1+1)-dimensional higher-order Broer-Kaup (HBK) system is studied by consistent tanh expansion (CTE) method in this paper.It is proved that the HBK system is CTE solvable. Some…
Non-local symmetries of the Hirota-Satsuma coupled KdV system and their applications
Junchao Chen, Xiangpeng Xin, Yong Chen
The nonlocal symmetry is derived from the known Darboux transformation (DT) of the Hirota-Satsuma coupled KdV (HS-cKdV) system, and infinitely many nonlocal symmetries are obtained…
A systemic method to construct the high order nonlocal symmetries
Xiangpeng Xin, Yong Chen
We propose a systemic method of applying the auxiliary systems of original equations to find the high order nonlocal symmetries of nonlinear evolution equation. In order to validat…