To generate different optical soliton solutions of the Paraxial wave equation with fractional
time dependence, a well-known Sardar-subequation technique is used. The M-truncated …

In this paper, we have solved the non-linear Korteweg-de Vries equation by considering it in
time-fraction Caputo sense and offered intrinsic properties of solitary waves. The fractional …

In this investigation, we address a particular variant of the Korteweg–de Vries (KdV)
equation, specifically focusing on the (2+ 1)-dimensional KdV equation. The equation can …

The Fitzhugh–Nagumo equation is an important nonlinear reaction-diffusion equation used
to model the transmission of nerve impulses. This equation is used in biology as population …

In this paper, the generalized exponential rational function method is applied to obtain
analytical solutions for the conformable (2+ 1)-dimensional chiral nonlinear Schrödinger …

We study the problem of gravity surface waves for an ideal fluid model in the (2+ 1)-
dimensional case. We apply a systematic procedure to derive the Boussinesq equations for …

In this paper, an improved tan (φ/2) expansion method is used to solve the exact solution of
the nonlinear forced (2+ 1)‐dimensional Zakharov–Kuznetsov equation. Firstly, we analyse …

Magneto-electro-elastic materials represent a new class of materials with various potential
applications in nanotechnology and it is of great importance due to its forward-looking …

The LDM and the CVIM Methods for Solving Time and Space Fractional WuUZhang
Differential System 1 Introduction Page 1 Int. J. Open Problems Compt. Math., Vol. 17, No. 3 …

We study the problem of gravity surface waves for an ideal fluid model in the (2+ 1)-
dimensional case. We apply a systematic procedure to derive the Boussinesq equations for …