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DGH方程的尖峰孤立子的稳定性 被引量：1

Stability of peakons for the DGH equation
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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. 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 H1 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.
作者 陈会萍
机构地区 南通大学杏林学院
出处 《华东师范大学学报（自然科学版）》 CAS CSCD 北大核心 2010年第5期67-72,83,共7页 Journal of East China Normal University(Natural Science)
基金 霍英东教育基金(111002) 上海市青年科技启明星跟踪计划(08QH14006) 曙光计划(07SG29)
关键词 稳定性 DGH方程 孤立子 stability the DGH equation peakons
分类号 O29 [理学—应用数学]
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参考文献15

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引证文献1

华东师范大学学报（自然科学版）
2010年 第5期

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