In this work, we consider the Boiti–Leon–Manna–Pempinelli equation with the M-truncated
derivative (BLMPE-MTD). Our aim here is to obtain trigonometric, rational and hyperbolic …

Many applications of the classical nonlinear Schrödinger equations with cubic and power
nonlinearity are seen in nonlinear optics, plasma physics, superconductivity, propagation of …

This article effectively establishes the exact soliton solutions for the Boussinesq model,
characterized by time-dependent coefficients, employing the advanced modified simple …

This paper deals with localized waves in the (3+ 1)-dimensional Boiti–Leon–Manna–
Pempinelli equation in the incompressible fluid. Based on Hirota's bilinear method, N-soliton …

In the paper, we study the Boiti-Leon-Manna-Pempinelli equation with (3+ 1) dimension. By
using the modified hyperbolic tangent function method, we obtain more new exact solutions …

We take into account the stochastic Boiti–Leon–Manna–Pempinelli equation (SBLMPE),
which is perturbed by a multiplicative Brownian motion. By applying He's semi-inverse …

In this paper, dynamic of a higher-order dispersive nonlinear Schrödinger equation is
investigated. Firstly, we obtain the determinant representation of the N-fold Darboux …

Abstract The KdV-Burgers equation, featuring time-varying coefficients is a fundamental
equation in the domain of wave propagation for wave propagation, dispersion, and …

In this paper, we obtain two types of semi-rational solutions for a coupled nonlinear
Schrödinger equation by applying generalized Darboux transformation (DT). Firstly, we …

Materials science is one of the most important research areas. The wave phenomena in
materials science are explained by the dynamics of nonlinear lattices that is generally …