In this study, with the aid of Wolfram Mathematica 11, the modified exp‐expansion function
method is used in constructing some new analytical solutions with novel structure such as …

In this paper a numerical technique is proposed for solving the nonlinear generalized
Benjamin–Bona–Mahony–Burgers and regularized long-wave equations. Firstly, we obtain …

In this study, we examine numerical solutions of Zakharov–Rubenchik system which is a
coupled nonlinear partial differential equation. The numerical method in the current study is …

In this article, the authors analyze the dynamics of new soliton-type analytical solutions and
simulate the generalized Benjamin-Bona-Mahony-Burgers (GBBMB) model. First of all, tanh …

An accurate determination of the pressure gradient is required for efficient designing of oil
and gas wells and pipe systems. Despite the recent improvements in accuracy of models …

This paper develops a numerical approach for finding the approximate solution of the
Sobolev model. This model describes many natural processes, such as thermal conduction …

We propose a polynomial-based numerical scheme for solving some important nonlinear
partial differential equations (PDEs). In the proposed technique, the temporal part is …

In this work, we employ an octic B-spline function to construct a collocation technique for
obtaining solutions to soliton on Benjamin-Bona-Mahony-Burgers (BBMB) equation. The …

Radial basis function (RBF) approximation is an extremely powerful tool for solving various
types of partial differential equations, since the method is meshless and can be spectrally …

In the paper, a newly developed three-point fourth-order compact operator is utilized to
construct an efficient compact finite difference scheme for the Benjamin–Bona–Mahony …