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Existence,Orbital Stability and Instability of Solitary Waves for Coupled BBM Equations

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【Author】 Li-wei Cui Fundamental Department,The Academy of Armored Force Engineering,Beijing 100072,China

【摘要】 <正>This paper is concerned with the orbital stability/instability of solitary waves for coupled BBM equations which have Hamiltonian form.The explicit solitary wave solutions will be worked out first.Then by detailed spectral analysis and decaying estimates of solutions for the initial value problem,we obtain the orbital stability/instability of solitary waves.

【Abstract】 This paper is concerned with the orbital stability/instability of solitary waves for coupled BBM equations which have Hamiltonian form.The explicit solitary wave solutions will be worked out first.Then by detailed spectral analysis and decaying estimates of solutions for the initial value problem,we obtain the orbital stability/instability of solitary waves.

【关键词】 Solitary wave； orbital stability/instability； spectral analysis； decaying estimate；
【Key words】 Solitary wave； orbital stability/instability； spectral analysis； decaying estimate；
【基金】 Supported by the National Natural Science Foundation of China(No.10271082,10671131);Beijing Natural Science Foundation(No.1052003)
  • 【文献出处】 Acta Mathematicae Applicatae Sinica ,应用数学学报(英文版) , 编辑部邮箱 ,2009年01期
  • 【分类号】O175.29
  • 【被引频次】2
  • 【下载频次】62
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