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

Abstract The simplified modified Camassa-Holm (SMCH) equation is an important nonlinear
model equation for identifying various wave phenomena in ocean engineering and science …

Abstract The Wazwaz–Benjamin–Bona–Mahony (WBBM) equations are solved in this paper
using an explicit and precise soliton method. In water wave mechanics, fluid dynamics …

In this study, we have considered the (2+ 1)-dimensional paraxial nonlinear Schrödinger
(NLS) equation in Kerr media and used the (w/g)-expansion method. The g′ and (g′/g 2) …

Abstract In our manuscript, the (2+ 1)-dimensional Zakharov-Kuznetsov modified equal
width (ZK-MEW) and couple breaking soliton (BS) equations are considered and …

This manuscript investigates the exact travelling wave solutions of the (2+ 1)-dimensional
Calogero–Bogoyavlenskii–Schiff (CBS) equation. By employing the unified method, a large …

In this manuscript, the primary motivation is the implementation of the advanced exp (− ϕ (ξ))‐
expansion method to construct the soliton solution, which contains some controlling …

In this research work, two mathematical models, the (1+ 1)-dimensional cKdV–mKdV
equation and the sinh-Gordon (shG) equation, are studied using an analytical method to …

In this study, we explain the impact of nonlinearity and wave dispersion parameters on the
soliton pulses of the (2+ 1)-dimensional Kundu-Mukherjee-Naskar equation. In this regard …

In solitons theory, nonlinear partial differential equations (NLPDEs) are booming in many
scientific fields such as ocean dynamics, plasma physics, fluid dynamics, hydrodynamics …