GROUND STATE TRAVELLING WAVES IN INFINITE LATTICES

• 作 者: 张鲁豫 马世旺
• 机 构: SchoolofMathematicalSciencesandLPMC
• 出 处: 数学物理学报：B辑英文版
• 发表日期: 2016年3期
• 关键词: 基态解 系统动力学 行波 二阶微分方程 相互作用势 变分问题 FPU 地面波 FPU lattice ground state wave Nehari mani
• 基金项目: Research supported by the Specialized Fund for the Doctoral Program of Higher Education and the National Natural Science Foundation of China.

In this paper,we consider FPU lattices with particles of unit mass.The dynamics of the system is described by the infinite system of second order differential equations qn= U′(qn+1-qn)-U′(qn-qn-1),n ∈ Z,where qndenotes the displacement of the n-th lattice