In this article, a new solution for the (3+ 1) dimensions Boiti–Leon–Manna–Pempinelli
(BLMP) equation using the sine Gordon expansion method and the extended tanh function …

Classical Burgers' equation is an indispensable dynamical evolution equation that is
autonomously devised by Burgers and Harry Bateman in 1915 and 1948, respectively. This …

In this work, the coupled fractional nonlinear Hirota equation is defined by using a powerful
fractional derivative sense, which is M-truncate derivative. We explore the fractional …

Two-mode equations are nonlinear models which describe the motion of bidirectional waves
propagating in the same direction under the effect of accelerating their phase velocity. The …

In this paper we introduce a new type of KdV equations called Two-mode KdV (TMKdV).
This equation represents the propagation of two-wave modes in the same direction …

In this work, exact analytical solutions for the time fractional variant bussinesq equations are
constructed in the sense of the newly devised fractional derivative called conformable …

In recent years, many approaches have been utilized for finding the exact solutions of
nonlinear systems of partial differential equations. In this paper, the first integral method …

Purpose This paper investigates an analytical solution to a physical model called (2+ 1)-
dimensional Zoomeron equation. Methods The solutions of Zoomeron are obtained using …

In this paper, the Jacobi elliptic function expansion technique is put forward for the first time
to build the exact solution of the improved modified Kortwedge-de varies (mKdV) equation …

The aim of this paper is twofold. Firstly, the tanh method with the aid of Mathematica is used
to obtain exact soliton solutions for a new fifth-order nonlinear integrable evolution equation …