The purpose of this paper is to consider the following time fractional KdV-type equation (1) by means of the Lie symmetry analysis method.
Among PDEs, the. KdV equation is an important mathematical model with wide applications in solid state physics, plasma physics, fluid physics and quantum field ...
In this paper, using the Lie group analysis method, we study the invariance properties of the time fractional fifth-order KdV equation.
Oct 22, 2024 · The present paper gives a formal solution of a certain Abel-type integral equation involving the Appell hypergeometric function in the kernel.
Lie symmetry analysis, conservation laws and analytical solutions of a time-fractional generalized KdV-type equation · Mathematics, Physics · 2017.
The group classification of a class of time fractional generalized KdV equations with variable coefficient is presented. The Lie symmetry analysis method is ...
Abstract: In the paper, we research a time fractional modi- fied KdV-type equations. We give the symmetry reductions and exact solutions of the equations, ...
The purpose of this study is to apply the Lie group analysis method to the time-fractional order generalized fifth-order KdV (TFF-KdV) equation.
Lie symmetry approach is used to report the admittance of continuous point symmetries of Quispel, Roberts and Thompson type nonlinear partial differential ...
The Lie symmetry analysis method is extended to the certain subclasses of time fractional generalized KdV equations with initial and boundary values and the ...