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 …
Lie symmetry analysis, optimal systems and exact solutions to the fifth-order KdV types of equations
H Liu, J Li, L Liu - Journal of Mathematical Analysis and Applications, 2010 - Elsevier
In this paper, the Lie symmetry analysis is performed on the fifth-order KdV types of
equations which arise in modeling many physical phenomena. The similarity reductions and …
equations which arise in modeling many physical phenomena. The similarity reductions and …
Painlevé analysis, Lie symmetries and exact solutions for (2+ 1)-dimensional variable coefficients Broer–Kaup equations
A (2+ 1) dimensional Broer–Kaup system which is obtained from the constraints of the KP
equation is of importance in mathematical physics field. In this paper, the Painlevé analysis …
equation is of importance in mathematical physics field. In this paper, the Painlevé analysis …
Exact solutions to Euler equation and Navier–Stokes equation
M Liu, X Li, Q Zhao - Zeitschrift für angewandte Mathematik und Physik, 2019 - Springer
The Lie symmetry analysis method and Bäcklund transformation method are proposed for
finding similarity reduction and exact solutions to Euler equation and Navier–Stokes …
finding similarity reduction and exact solutions to Euler equation and Navier–Stokes …
New exact solutions for a generalized KdV equation
L Li, Y Xie, S Zhu - Nonlinear Dynamics, 2018 - Springer
In this paper, we establish a triple-order complete discrimination system to derive the
traveling wave solutions of the generalized KdV equation with high power nonlinearities …
traveling wave solutions of the generalized KdV equation with high power nonlinearities …
Exact solutions and Painlevé analysis of a new (2+ 1)-dimensional generalized KdV equation
Y Zhang, Y Song, L Cheng, JY Ge, WW Wei - Nonlinear Dynamics, 2012 - Springer
Abstract The new (2+ 1)-dimensional generalized KdV equation which exists the bilinear
form is mainly discussed. We prove that the equation does not admit the Painlevé property …
form is mainly discussed. We prove that the equation does not admit the Painlevé property …
Some invariant solutions of field equations with axial symmetry for empty space containing an electrostatic field
L Kaur, RK Gupta - Applied Mathematics and Computation, 2014 - Elsevier
The system of partial differential equations corresponding to a line element with axial
symmetry for empty space containing an electrostatic field has been examined. The …
symmetry for empty space containing an electrostatic field has been examined. The …
Group classifications, optimal systems and exact solutions to the generalized Thomas equations
H Liu, J Li, L Liu, Y Wei - Journal of mathematical analysis and applications, 2011 - Elsevier
In this paper, the complete group classifications are performed on the types of Thomas
equations (TEs), which arise in the study of chemical exchange progress, etc., all of the …
equations (TEs), which arise in the study of chemical exchange progress, etc., all of the …
Nonclassical symmetries and similarity solutions of variable coefficient coupled KdV system using compatibility method
The variable coefficient KdV system is investigated for nonclassical symmetries using
compatibility method, and more general symmetries are reported. Several inequivalent …
compatibility method, and more general symmetries are reported. Several inequivalent …
Lie Symmetry analysis of the nonlinear Schrödinger equation with time dependent variable coefficients
P Devi, K Singh - International Journal of Applied and Computational …, 2021 - Springer
In this work, we study the generalized nonlinear Schrödinger equation having time
dependent variable coefficients by using Lie group method. We find the Lie point symmetries …
dependent variable coefficients by using Lie group method. We find the Lie point symmetries …