Stochastic equations are powerful mathematical tools used to study systems having random
effects. The current manuscript studies the two distinct systems: the stochastic conformable …

In this study, the double (G′/G, 1/G)-expansion method is utilized for illustrating the
improved explicit integral solutions for the two of nonlinear evolution equations. To expose …

In this work, we perform a comprehensive analytical study to find the novel exact traveling
wave solutions of the\(2+ 1\)-dimensional Kadomtsev-Petviashvili-Benjamin-Bona-Mahony …

This work scrutinizes the well-known nonlinear non-classical Sobolev-type wave model
which addresses the fluid flow via fractured rock, thermodynamics and many other fields of …

In this paper, the fractional complex Ginzburg–Landau equation (CGLE) with Kerr law in
nonlinear optics, which simulates soliton propagation in various waveguides in the presence …

In this paper, we consider the conformable resonant nonlinear Schrödinger equation
(CRNLSE) incorporating Kerr law nonlinearity and provide some new analytical solutions …

In this work, we analysis the novel behavior of solitons to the nonlinear evolution equations
describing the ionic currents microtubule and Mikhaillov-Novikov-Wang dynamical …

Lie symmetry analysis is utilized in this paper to explore the properties of highly dispersive
optical solitons that exhibit quadratic–cubic self-phase modulation. The use of Lie symmetry …

This paper considers the coupled Fokas–Lenells equation, which is used to study the
transmission of signals through a polarization-preserving optical fibre. Its several solutions …

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 …