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2010•Journal of Jiangxi Normal UniversityRequires access

Explicit Traveling Wave Solutions for Ion Acoustic Wave Equations

Changhai Zhao

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Abstract

Double functons method is proposed for constructing exact travelling wave solutions for nonlinear evolution equations.Reductive perturbation method from the ion-acoustic wave equation can be turned into kdv equation.Hyperbola function with the new method can be simple to obtain traveling wave solutions kdv equation.A new approximate solitary solution is obtained by the method,revealing the relationship among the velocity,height and the solitary width of the wave.

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What this paper is about

Double functons method is proposed for constructing exact travelling wave solutions for nonlinear evolution equations.Reductive perturbation method from the ion-acoustic wave equation can be turned into kdv equation.Hyperbola function with the new method can be simple to obtain traveling wave solutions kdv equation.A new approximate solitary solution is obtained by the method,revealing the relationship among the velocity,height and the solitary width of the wave.

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Available abstract

Double functons method is proposed for constructing exact travelling wave solutions for nonlinear evolution equations.Reductive perturbation method from the ion-acoustic wave equation can be turned into kdv equation.Hyperbola function with the new method can be simple to obtain traveling wave solutions kdv equation.A new approximate solitary solution is obtained by the method,revealing the relationship among the velocity,height and the solitary width of the wave.

Key concepts: Hyperbola, Korteweg–de Vries equation, Traveling wave, Mathematical analysis, Mathematics, Acoustic wave equation, Nonlinear system, Cnoidal wave

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