阻尼作用下双阱势氢键链中的包络暗孤子  

Dark Envelope Soliton in the Hydrogen-Bonded Chain with Double-Well Potentials Under Damping

作　　者：徐海清[1] 胡柯[2] 

机构地区：[1]湖南工程学院应用技术学院,湖南湘潭411101 [2]湘潭大学近代物理研究所,湖南湘潭411105

出　　处：《吉首大学学报（自然科学版）》2008年第2期58-61,共4页Journal of Jishou University(Natural Sciences Edition)

基　　金：湖南省教育厅科学研究项目(07C754)

摘　　要：利用多重尺度法,研究了弱阻尼作用下带有对称双阱势的氢键链中的波动行为,发现在0(ε)级阻尼作用下,原来在布里渊区中心和边界处的非传播孤子变为以群速度为λ传播的孤子,且其格波幅度和群速度都会随时间发生变化.同时由晶格动力学方程出发导出了耗散型的非线性Schrdinger方程,并对方程进行解析求解,结果表明:在0(ε)级阻尼作用下,对称双阱势氢键链中存在一种传播的包络暗孤子解.By the method of multiple scales, we have investigated the behavior of waves in a hydrogen-bonded chain with symmetric double-well potentials under damping and found that the amplitude of the lattice waves decreases and the group velocity becomes slow under the action of damping. At the same time, we have derived the Damped NLS Equation and obtained its analytical solution. The results show that： there exists propagating dark envelope soliton in the hydrogen-bonded chain with symmetric double-well potentials under the damping.

关 键 词：阻尼作用 多重尺度方法 包络暗孤子 

分 类 号：O415[理学—理论物理]