In this study, disparate analytical methodologies like the tan method, rational Exp-function
method, sech method, extended tan method, and sine–cosine method are implemented to …

In this work, we studied a (2+ 1)-dimensional Sawada-Kotera equation (SKE). This model
depicts nonlinear wave processes in shallow water, fluid dynamics, ion-acoustic waves in …

In this paper we studied the 2D Kundu–Mukherjee–Naskar model which governs many
nonlinear processes from various fields of Physics, as for example the propagation of the …

In this paper a new definition of a local fractional derivative of order α is introduced and
applied to the study of the fractional nonlinear Schrödinger equation (FNLSE) with third …

In this study, we examine the well-known foam drainage equation in the form of the
nonlinear partial differential equation using a new extended direct algebraic method. This …

This paper studies the potential form of the 3 D potential Yu–Toda–Sasa–Fukuyama
equation through the perspective of Lie symmetry analysis. This technique combined with …

In this paper, we have approached a complicated nonlinear wave equation which links the
Rosenau–Kawahara equation to the regularized long wave (RLW) equation. Taking …

In this paper the long-short (LS) wave resonance model is investigated. An efficient
approach, able to classify the types of solutions according to the values of some parameters …

This papers presents new exact analytical solutions of a generalized Ito equation having
three nonlinear terms, third-and fifth-order derivative forms that model the dynamics of …

In this paper, using the extended rational sine–cosine and rational sinh–cosh methods, we
find new soliton solutions for the Klein–Gordon–Zakharov equations. The extended rational …