| 耦合KdV方程的微扰孤子解 |
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| 引用本文： | 张永良,黄卫立.耦合KdV方程的微扰孤子解[J].湖南师范大学教育科学学报,2000(2). |
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| 作者姓名： | 张永良 黄卫立 |
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| 作者单位： | 邵阳市第二中学!中国邵阳422000(张永良)，益阳师专物理系!中国益阳413049(黄卫立) |
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| 基金项目： | 国家自然科学基金!19775023 |
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| 摘 要： | 对于两个具有任意非零色散系数的弱耦合Korteweg-deVries（KdV）方程，得到一类微扰孤子解及其存在性条件．数值结果表明，弱耦合相互作用仅给未扰孤子对以小的修正，不改变孤子的特性．
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| 关 键 词： | 耦合 KdV方程 微扰 孤子 |
Perturbed Soliton Solutions of the Coupled KdV Equations |
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| ZHANG Yong-Liang, HUAN Wei-Li.Perturbed Soliton Solutions of the Coupled KdV Equations[J].Journal of Educational Science of Hunan Normal University,2000(2). |
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| Authors: | ZHANG Yong-Liang HUAN Wei-Li |
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| Abstract: | By two weakly coupled Korteweg-de Vries equations with arbitrary nonzero dispersion coefficients, the paper has obtained a kind of perturbed soliton solutions and the corresponding existence conditions, The numerical result shows that the weakly coupled interaction only gives small carrections to the unperturbed solitons. The soliton feature is preserved under the perturbafion. |
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| Keywords: | KdV equation perturbation soliton |
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