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

This paper presents a rigorous exploration of the extended Vakhnenko–Parkes-Equation
(eVPE), unveiling a rich tapestry of multi solitons, bifurcations, and high-order breathers …

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 …

Finding solutions in the solitary wave-form for nonlinear Schrödinger's equations with
dispersive and dispersion terms is challenging but would yield interesting results. The basic …

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 …

The renowned non-linear Kairat-II equation, which expresses the surface curves, is
examined meticulously in this work. There has never been a study before that discussed …

In this article, we investigated the Landau–Ginzburg–Higgs (LGH) equation, focusing on the
analysis of isolated soliton solutions and their stability. To compute the isolated soliton …

In this work, newly created soliton solutions for ion sound and Langmuir waves with an
Atangana–Baleanu fractional (ABF) are given. Symbolic software is used to perform the …

This work explores various wave pattern dynamics due to fractional derivative, dispersive
and nonlinearity effects for the nonlinear time M-fractional modified Korteweg–de Vries (tM …

This article mainly studies the new traveling wave solutions of the stochastic modified
Korteweg–de Vries equation with multiplicative noise. The traveling wave solutions in the …