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Benjamin-Ono方程孤立波解的轨道稳定性(英文) 被引量:1

Orbital Stability of Solitary Waves to Benjamin-Ono Equation
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摘要 本文给出了Benjamin-Ono方程的孤立波解,并应用M.Grillakis[4,5]等的抽象理论,通过谱分析,证明了该孤立波解是轨道稳定的. In this paper, we give the solitary waves of Benjamin-Ono equation. By using the abstract results of M. Grillakis et al[4,5] and careful spectral analysis, we prove that the stability of the solitary waves is orbital.
作者 杨慧
出处 《数学研究》 CSCD 2006年第3期240-245,共6页 Journal of Mathematical Study
基金 The research is supported by the Scientific Research Foundation of Yunnan ProvincialDepartment and the Natural Science Foundation of Yunnan Province(2005A0026M)
关键词 Benjamin—Ono方程 孤立波 本质谱 轨道稳定 Benjamin-Ono equation solitary wave essential spectrum orbital stability.
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