Stability/Instability of Solitary waves with Nonzero Asymptotic Value for a PDE in Microstructural Solid Materials  

作　　者：Ye ZHAO Miao-chao CHEN 

机构地区：[1]Department of Mathematics and Physics, Beijing Institute of Petrolchemical Technology [2]Department of Mathematics, Chaohu University

出　　处：《Acta Mathematicae Applicatae Sinica》2015年第3期693-700,共8页应用数学学报（英文版）

基　　金：Research is supported by Science Foundation of the Education Commission of Beijing(No.KM201210017008);National Natural Science Foundation of China under Grants(No.61403034);Youth Foundation of Beijing Institute of Petrolchemical Technology(No.N10-04)

摘　　要：The present paper deals with results of stability/instability of solitary waves with nonzero asymptotic value for a microstructure PDE. By the exact solitary wave solutions and detailed computations, we set up the explicit expression for the discrimination d′′（c）. Finally, a complete study of orbital stablity/instablity for the explicit exact solutions is given.The present paper deals with results of stability/instability of solitary waves with nonzero asymptotic value for a microstructure PDE. By the exact solitary wave solutions and detailed computations, we set up the explicit expression for the discrimination d′′（c）. Finally, a complete study of orbital stablity/instablity for the explicit exact solutions is given.

关 键 词：solitary waves microstructured solid orbital stability/instability spectral analysis 

分 类 号：O175.29[理学—数学]