9 citations · 19 across the 7 of their papers we have counts for
7 papers
A nonlocal variable coefficient modified KdV equation derived from two-layer fluid system and its exact solutions
Xi-Zhong Liu
A nonlocal form of a two-layer fluid system is proposed by a simple symmetry reduction, then by applying multiple scale method to it a general nonlocal two place variable coefficie…
A nonlocal nonlinear Schrodinger equation derived from a two-layer fluid model
Xi-Zhong Liu
By applying a simple symmetry reduction on a two-layer liquid model, a nonlocal counterpart of it is obtained. Then a general form of nonlocal nonlinear Schrodinger (NNLS) equatio…
New interaction solutions from Lax pair related symmetry of the Generalized fifth order KdV equation
Xi-zhong Liu, Jun Yu, Bo Ren
The nonlocal symmetry of the generalized fifth order KdV equation (FOKdV) is first obtained by using the related Lax pair and then localized in a new enlarged system by introducing…
Backlund transformations for Burgers Equation via localization of residual symmetries
Xi-zhong Liu, Jun Yu, Bo Ren
In this paper, we obtained the non-local residual symmetry related to truncated Painlevé expansion of Burgers equation. In order to localize the residual symmetry, we introduced ne…
New interaction solutions of Kadomtsev-Petviashvili equation
Xi-zhong Liu, Jun Yu, Bo Ren
The residual symmetry coming from truncated Painleve expansion of KP equation is nonlocal, which is localized in this paper by introducing multiple new dependent variables. By usin…
New symmetry reductions related with the residual symmetry of Boussinesq equation
Xi-zhong Liu, Jun Yu, Bo Ren
The Backlund transformation related symmetry is nonlocal, which is hardly to apply in constructing solutions for nonlinear equations. In this paper, we first localize nonlocal resi…