This article scrutinizes the efficacy of analytical mathematical schemes, improved simple equation and exp(-Psi(xi))-expansion techniques for solving the well-known nonlinear partial differential equations. A longitudinal ...

The present paper applies the variation of (G'/G)-expansion method on the space-time fractional Hirota-Satsuma coupled KdV equation with applications in physics. We employ the new approach to receive some closed form wave ...

In this study, our aim to constructed the traveling and solitary wave solutions for nonlinear evolution equation describe the wave propagation in nonlinear low-pass electrical transmission lines by implemented the modification ...

This manuscript retrieve lump soliton solution for geophysical Korteweg–de Vries equation (GKdVE) with the help of Hirota bilinear method (HBM). We will also obtain lump–kink soliton (which is interaction of lump with one ...

There are a lot of physical phenomena which their mathematical models are decided by nonlinear evolution (NLE) equations. Our concern in the present work is to study a special type of NLE equations called the (3 + ...

In this manuscript, three novel schemes (Generalized direct algebraic; Improved simple equation and Modified F-expansion methods) are successfully utilized to find the solitary solutions of generalized form of Pochhammer-Chree ...

The nonlinear space–time fractional Phi-4 equation and density dependent fractional reaction–diffusion equation (FRDE) are important models to interpret the fusion and fission phenomena ensued in solid state physics, plasma ...

In this article we have discussed the analytical analysis of two dimensional modified Korteweg–de Vries (mK–dV) equation arising in plasma physics that governs the ion-acoustic solitary waves for their asymptotic behavior ...

In this manuscript, two mathematical approaches have been functionalized to discover novel wave results of 3rd-order Klein–Gordon and Tzitzeica equations. With the alliance of Mathematica, the competency of these methods ...