9 citations · 19 across the 9 of their papers we have counts for
10 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…
Dark parameterization approach to Ito equation
Bo Ren, Xi-Zhong Liu, Ping Liu
The novel coupling Ito systems are obtained with the dark parameterization approach. By solving the coupling equations, the traveling wave solutions are constructed with the mappin…
Bosonization, Painleve property, exact solutions for N=1 supersymmetric mKdV equation
Bo Ren, Jian-Rong Yang, Ping Liu +1
The N=1 supersymmetric modified Korteweg-de Vries (SmKdV) system is transformed to a system of coupled bosonic equations with the bosonization approach. The bosonized SmKdV (BSmKdV…
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…
Residual Symmetry Reductions and Interaction Solutions of (2+1)-Dimensional Burgers Equation
Xi-zhong Liu, Jun Yu, Bo Ren
The (2+1)-dimensional Burgers equation has been investigated first from prospective of symmetry by localizing the nonlocal residual symmetries and then studied by a simple generali…
Symmetry group theorem to the Lin-Tsien equation and conservation laws relating to the symmetry of the equation?
Liu Xi-Zhong
In this paper, We derive the symmetry group theorem to the Lin-Tsien equation by using the modified CK's direct method, from which we obtain the corresponding symmetry group. More…