From FPU Problem to Solitons
作者: 苏映雪 ：中国矿业大学(北京)，北京;
Abstract: Solitons, chaos and fractals were important parts of nonlinear science, which had been invented and seen a great many developments in the last century. During the developments of the nonlinear science, Fermi-Pasta-Ulam (FPU) problem played a crucial role. We will introduce the FPU problem briefly here and analyze the linear mathematical model and the energy of normal modes that are related to FPU problem. At the same time, we will explain the process of deriving the KdV equation from FPU problem and get the one-soliton solutions to the KdV equation. Also the plots for one-soliton and two-soliton solutions are presented.
文章引用: 苏映雪 (2016) 从FPU问题到孤立子。 应用数学进展， 5， 336-348. doi: 10.12677/AAM.2016.53042
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