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摘要: 尖峰孤立子是一个非线性色散方程的尖峰孤立波解, 是浅水波理论中的一个模型. 本文通过构造一个泛函和守恒律来证明DGH方程的尖峰孤立子在H^1中的轨道稳定性. 该稳定性定理表明, 如果一个波在开始时与尖锋孤立子接近,则在之后的任何时间仍然与它接近.Abstract: The peakons are peaked solitary wave solutions of a certain nolinear dispersive equation that is a model in shallow water theory. In this paper, the author showed that the peaked solitons to the DGH equation were orbital stable in H^1 norm by constructing a functional and conservation laws. The stability theorem indicates that, if a wave is close to the peakons at the beginning, it will remain close to some translate of it at any time later.
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Key words:
- stabilitythe DGH equationpeakons /
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