| 离子声波方程的显式行波解 |
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| 引用本文： | 赵长海.离子声波方程的显式行波解[J].江西师范大学学报(自然科学版),2010,34(3). |
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| 作者姓名： | 赵长海 |
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| 作者单位： | 南通大学,理学院,江苏,南通,226007 |
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| 基金项目： | 南通大学自然科学基金 |
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| 摘 要： | 给出一种求解非线性发展方程离子声波方程行波解的一种新方法,由约化摄动法将离子声波方程可化为kdv方程,用双函数法可获得kdv方程的多组行波解,从而可得离子声波方程的新孤波解,该孤波解揭示了波的振幅、波速以及孤子宽度之间的相互关系.
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| 关 键 词： | 非线性波动方程 离子声波 双函数法 行波解 |
Explicit Traveling Wave Solutions for Ion Acoustic Wave Equations |
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| ZHAO Chang-hai.Explicit Traveling Wave Solutions for Ion Acoustic Wave Equations[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2010,34(3). |
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| Authors: | ZHAO Chang-hai |
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| Institution: | ZHAO Chang-hai(School of Sciences,Nantong University,Nantong Jiangsu 226007,China) |
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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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| Keywords: | nonlinear wave equation ion-acoustic wave hyperbola function method traveling wave solution |
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