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Traveling wave solutions for three non-linear equations by (G′/G)-expansion method

Qinghua Feng, Bin Zheng

Open publisher page 5 citations

Abstract

In this paper, we will try to obtain the new exact solutions of the DSSH equation, the KP-BBM equation and the (3+1) dimensional potential-YTSF equation. The three nonlinear equations are reduced to nonlinear ordinary differential equations (ODE) by using a simple transformation respectively. Then we construct the traveling wave solutions of the equations in terms of the hyperbolic functions, trigonometric functions and the rational functions by the (G′/G)-expansion method.

About this research paper

What this paper is about

In this paper, we will try to obtain the new exact solutions of the DSSH equation, the KP-BBM equation and the (3+1) dimensional potential-YTSF equation. The three nonlinear equations are reduced to nonlinear ordinary differential equations (ODE) by using a simple transformation respectively. Then we construct the traveling wave solutions of the equations in terms of the hyperbolic functions, trigonometric functions and the rational functions by the (G′/G)-expansion method.

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, we will try to obtain the new exact solutions of the DSSH equation, the KP-BBM equation and the (3+1) dimensional potential-YTSF equation. The three nonlinear equations are reduced to nonlinear ordinary differential equations (ODE) by using a simple transformation respectively. Then we construct the traveling wave solutions of the equations in terms of the hyperbolic functions, trigonometric functions and the rational functions by the (G′/G)-expansion method.

Key concepts: Mathematics, Ode, Trigonometric functions, Hyperbolic function, Mathematical analysis, Nonlinear system, Partial differential equation, Ordinary differential equation

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