Instability of Solitary Waves in Nonlinear Composite Media  

作　　者：Ye Zhao 

机构地区：[1]Department of Mathematics, Capital Normal University, Beijing 100037, China

出　　处：《Acta Mathematicae Applicatae Sinica》2007年第2期311-318,共8页应用数学学报（英文版）

基　　金：the National Natural Science Foundation of China(No.10271082,No.10671131);Beijing Natural Science Foundation(No.1052003)

摘　　要：In this paper, we investigate a class of Hamiltonian systems arising in nonlinear composite media. By detailed analysis and computation we obtain a decaying estimates on the semigroup and prove the orbital instability of two families of explicit solitary wave solutions （slow family in anisotropic case and solitary waves in isotropic case）, which theoretically verify the related guess and numerical results.In this paper, we investigate a class of Hamiltonian systems arising in nonlinear composite media. By detailed analysis and computation we obtain a decaying estimates on the semigroup and prove the orbital instability of two families of explicit solitary wave solutions （slow family in anisotropic case and solitary waves in isotropic case）, which theoretically verify the related guess and numerical results.

关 键 词：Solitary wave orbital instability composite WELL-POSEDNESS SPECTRUM 

分 类 号：O175.29[理学—数学]