一些非传播孤立子实验和相关理论  

Some Experiment on Nonpropagating Solitons and Related Theories

作　　者：金艳[1,2,3] 林机[1,3] 

机构地区：[1]浙江师范大学数理信息学院,浙江金华321004 [2]宁波教育学院信息与艺术学院,浙江宁波315000 [3]宁波大学理学院,浙江宁波315211

出　　处：《宁波大学学报（理工版）》2011年第3期113-119,共7页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：国家自然科学基金(10735030)

摘　　要：论述了流体和单摆链(格点体系)的简单实验,并对流体和格点体系的实验做了相应的理论研究,如对双原子格点的宏观模拟体系在4种实验条件下给出了所有可能的周期波解的解析表达式,且这些周期波解是8种非传播孤立波解的一般化,其中有5种孤立波的模式已经在实验中被发现.Study in nonlinearity plays more and more important role in modern science. In this paper, some simple experiment on fluids and pendulum lattice is described. For the diatomic lattice, we obtain four analytical expressions for all possible periodic wave solutions under different experimental conditions. These periodic wave solutions are generalizations of eight nonpropagating solitary wave solutions including five observed ones in the conducted experiment.

关 键 词：参数激励系统 非传播周期波 非传播孤立波 

分 类 号：O175.14[理学—数学]