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2004•Zeitschrift für Naturforschung AOpen access

New Exact Travelling Wave Solutions of the Discrete Sine-Gordon Equation

Chao‐Qing Dai, Yang Qin, Jie-Fang Zhang

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Abstract

In this paper, we explore more applications of the hyperbolic function approach, which was used to find new exact travelling wave solutions of nonlinear partial differential equations or coupled nonlinear partial differential equations (PDES), to special discrete nonlinear equations.Some exact travelling wave solution of the discrete sine-Gordon equation are obtained in terms of hyperbolic function approach.-

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What this paper is about

In this paper, we explore more applications of the hyperbolic function approach, which was used to find new exact travelling wave solutions of nonlinear partial differential equations or coupled nonlinear partial differential equations (PDES), to special discrete nonlinear equations.Some exact travelling wave solution of the discrete sine-Gordon equation are obtained in terms of hyperbolic function approach.-

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OpenAlex reports 14 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 explore more applications of the hyperbolic function approach, which was used to find new exact travelling wave solutions of nonlinear partial differential equations or coupled nonlinear partial differential equations (PDES), to special discrete nonlinear equations.Some exact travelling wave solution of the discrete sine-Gordon equation are obtained in terms of hyperbolic function approach.-

Key concepts: Partial differential equation, Hyperbolic partial differential equation, Traveling wave, Hyperbolic function, Mathematics, Mathematical analysis, First-order partial differential equation, Nonlinear system

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