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 …

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 …

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 …

The Lie symmetry analysis method and Bäcklund transformation method are proposed for
finding similarity reduction and exact solutions to Euler equation and Navier–Stokes …

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 …

The classical bond‐pricing models, as important financial tools, show strong vitality in bond
pricing. However, these models also expose their theoretical defects, which leads to …

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 …

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 …

In this article, we employ the group-theoretic methods to explore the Lie symmetries of the
Klein–Gordon–Zakharov equations, which include time-dependent coefficients. We obtain …

The variable coefficient KdV system is investigated for nonclassical symmetries using
compatibility method, and more general symmetries are reported. Several inequivalent …