The purpose of this work is to seek various innovative exact solutions using the new
Kudryashov approach to the nonlinear partial differential equations (NLPDEs). This …

Bilinearization of nonlinear partial differential equations (PDEs) is essential in the Hirota
method, which is a widely used and robust mathematical tool for finding soliton solutions of …

This paper presents a new study that incorporates the Stratonovich integral and conformal
fractional derivative into the fractional stochastic Bogoyavlenskii equation with multiplicative …

This paper systematically investigates the exact solutions to an extended (2+ 1)-dimensional
Boussinesq equation, which arises in several physical applications, including the …

Nonlinear phenomena are common in nonlinear sciences and physical engineering, such
as ocean engineering and marine physics, as well as fluid dynamics. Nonlinear partial …

Using the Lie symmetry technique, this paper studies a (3+ 1)-dimensional generalized
Camassa-Holm-Kadomtsev-Petviashvili (GCHKP) equation that can possess various …

The generalized exponential rational function (GERF) method is used in this work to obtain
analytic wave solutions to the Kudryashov-Sinelshchikov (KS) equation. The KS equation …

In the case of negligible viscosity and surface tension, the B-KP equation shows the
evolution of quasi-one-dimensional shallow-water waves, and it is growingly used in ocean …

The current exploration explains new traveling wave profiles by the Lie symmetry approach
Here, we derive the (3+ 1)-dimensional Zakharov–Kuznetsov burgers equation for the shock …

This paper studies the influence of space-fractional and multiplicative noise on the exact
solutions of the space-fractional stochastic dispersive modified Benjamin–Bona–Mahony …