Periodic and Solitary Travelling Waves in Infinite Lattices without Ambrosetti-Rabinowitz Condition

被引：1
作者：
Zhang, Xu [1 ,2 ]
Ma, Shiwang [1 ,2 ]
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
来源：
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2016年 / 28卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Travelling waves; Periodic and solitary; Superquadratic; Without Ar condition; EXISTENCE;
D O I：
10.1007/s10884-014-9387-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 where denotes the displacement of the -th lattice site and is the potential of interaction between two adjacent particles. We investigate the existence of two kinds travelling wave solutions: periodic and solitary ones under some growth conditions on which is different from the widely used Ambrosetti-Rabinowitz condition.
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页码：419 / 430
页数：12
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