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Traveling wave solution for the BBM equation with any order by (G′/G)-expansion method

Qinghua Feng, Bin Zheng

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Abstract

In this paper, we will try to construct the travelling wave solutions of the BBM equation with any order by using a generalized (G′/G)-expansion method. The BBM equation is reduced to a nonlinear ordinary differential equations (ODE) by using a simple transformation. As a result, the traveling wave solutions of the BBM equation are expressed in three forms: hyperbolic function solutions, trigonometric function solutions and rational solutions.

About this research paper

What this paper is about

In this paper, we will try to construct the travelling wave solutions of the BBM equation with any order by using a generalized (G′/G)-expansion method. The BBM equation is reduced to a nonlinear ordinary differential equations (ODE) by using a simple transformation. As a result, the traveling wave solutions of the BBM equation are expressed in three forms: hyperbolic function solutions, trigonometric function solutions and rational solutions.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

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Available abstract

In this paper, we will try to construct the travelling wave solutions of the BBM equation with any order by using a generalized (G′/G)-expansion method. The BBM equation is reduced to a nonlinear ordinary differential equations (ODE) by using a simple transformation. As a result, the traveling wave solutions of the BBM equation are expressed in three forms: hyperbolic function solutions, trigonometric function solutions and rational solutions.

Key concepts: Mathematics, Ode, Hyperbolic function, Mathematical analysis, Traveling wave, Trigonometric functions, Transformation (genetics), Ordinary differential equation

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