Invariant analysis and exact solutions of nonlinear time fractional Sharma–Tasso–Olver equation by Lie group analysis
GW Wang, TZ Xu - Nonlinear Dynamics, 2014 - Springer
This paper is concerned with the time fractional Sharma–Tasso–Olver (FSTO) equation, Lie
point symmetries of the FSTO equation with the Riemann–Liouville derivatives are …
point symmetries of the FSTO equation with the Riemann–Liouville derivatives are …
Symmetry multi-reduction method for partial differential equations with conservation laws
For partial differential equations (PDEs) that have n≥ 2 independent variables and a
symmetry algebra of dimension at least n− 1, an explicit algorithmic method is presented for …
symmetry algebra of dimension at least n− 1, an explicit algorithmic method is presented for …
Comparison of different approaches to construct first integrals for ordinary differential equations
Different approaches to construct first integrals for ordinary differential equations and
systems of ordinary differential equations are studied here. These approaches can be …
systems of ordinary differential equations are studied here. These approaches can be …
Symmetry properties and explicit solutions of the nonlinear time fractional KdV equation
G Wang, T Xu - Boundary Value Problems, 2013 - Springer
The time fractional KdV equation in the sense of the Riemann-Liouville derivatives is
considered. The symmetry properties of the time fractional KdV equation is investigated by …
considered. The symmetry properties of the time fractional KdV equation is investigated by …
Roadmap of the Multiplier Method for Partial Differential Equations
This review paper gives an overview of the method of multipliers for partial differential
equations (PDEs). This method has made possible a lot of solutions to PDEs that are of …
equations (PDEs). This method has made possible a lot of solutions to PDEs that are of …
Lie symmetry analysis and explicit solutions of the time fractional fifth-order KdV equation
GW Wang, TZ Xu, T Feng - Plos One, 2014 - journals.plos.org
In this paper, using the Lie group analysis method, we study the invariance properties of the
time fractional fifth-order KdV equation. A systematic research to derive Lie point symmetries …
time fractional fifth-order KdV equation. A systematic research to derive Lie point symmetries …
[HTML][HTML] Bright-dark wave envelopes of nonlinear regularized-long-wave and Riemann wave models in plasma physics
The nonlinear regularized-long-wave (RLW) and the Riemann wave (RW) models are
physically significant in plasma physics and in further study of nonlinear dispersive waves …
physically significant in plasma physics and in further study of nonlinear dispersive waves …
Reductions and new exact solutions of ZK, Gardner KP, and modified KP equations via generalized double reduction theorem
We study here the Lie symmetries, conservation laws, reductions, and new exact solutions of
(2+ 1) dimensional Zakharov‐Kuznetsov (ZK), Gardner Kadomtsev‐Petviashvili (GKP), and …
(2+ 1) dimensional Zakharov‐Kuznetsov (ZK), Gardner Kadomtsev‐Petviashvili (GKP), and …
The analysis of conservation laws, symmetries and solitary wave solutions of Burgers–Fisher equation
In this paper, the conservation laws, significant symmetries' application, and traveling wave
solutions are obtained for Burger–Fisher equation (BFE). Conservation laws have a great …
solutions are obtained for Burger–Fisher equation (BFE). Conservation laws have a great …
Generalized compacton equation, conservation laws and exact solutions
Compactons were introduced as solutions of nonlinear dispersive partial differential
equations. There exists a variety of third-order equations that support compacton solutions …
equations. There exists a variety of third-order equations that support compacton solutions …