分立单原子β-FPU链中呼吸子晶格解及紧致呼吸子的存在及稳定性

Existence and stability of the breather lattice solution and compact-like discrete breather solution in discrete monatomic β Fermi-Pasta-Ulam chain

用试探法研究了分立的一维单原子β-FPU链,得到了呼吸子晶格解及呼吸子解存在的依据,并利用Aubry线性稳定性理论对其稳定性进行了分析,得到了呼吸子晶格解及呼吸子解存在及稳定的条件.

The discrete one-dimensional monatomic β-FPU chain was discussed by using the trying method. The proof of existence of the breather lattice solutions and the compact-like discrete breathers was obtained and their stability was analyzed by using the Aubry＇s linearly stable theory. The conditions of existence and stability of the breather lattice solutions and the compact-like discrete breathers was obtained.