SOLITARY WAVES IN NONLINEARLY COUPLED OSCILLATORS IN RESONANCE

被引:2
作者
COLLINS, MA
机构
[1] Research School of Chemistry, Australian National University, A.C.T., 2601, G.P.O. Box 4, Canberra
来源
PHYSICA D | 1993年 / 63卷 / 1-2期
关键词
D O I
10.1016/0167-2789(93)90151-P
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A simple model is used to describe the motion of a chain of anharmonically coupled harmonic oscillators whose frequencies are in s : 1 resonance, or in which combination resonances occur. It is shown that stable soliton-like excitations exist. Exact quantum states, approximate classical solutions, and numerical simulations of the classical equations are presented.
引用
收藏
页码:138 / 144
页数:7
相关论文
共 19 条
[1]   SIMPLE-MODEL OF COHERENT ENERGY-TRANSFER BY FERMI RESONANCE [J].
CLARKE, DL ;
COLLINS, MA .
JOURNAL OF CHEMICAL PHYSICS, 1990, 92 (09) :5602-5611
[2]   SIMULATION OF COHERENT ENERGY-TRANSFER IN A HYDROGEN-BONDED AMIDE CHAIN BY FERMI RESONANCE [J].
CLARKE, DL ;
COLLINS, MA .
JOURNAL OF CHEMICAL PHYSICS, 1990, 93 (11) :7894-7913
[3]   SIMULATION OF COHERENT ENERGY-TRANSFER IN AN ALPHA-HELICAL PEPTIDE BY FERMI RESONANCE [J].
CLARKE, DL ;
COLLINS, MA .
BIOPHYSICAL JOURNAL, 1992, 61 (02) :316-333
[4]   A QUASICONTINUUM APPROXIMATION FOR SOLITONS IN AN ATOMIC CHAIN [J].
COLLINS, MA .
CHEMICAL PHYSICS LETTERS, 1981, 77 (02) :342-347
[5]   SOLITONS IN CHEMICAL PHYSICS [J].
COLLINS, MA .
ADVANCES IN CHEMICAL PHYSICS, 1983, 53 :225-339
[6]  
Decius J. O., 1977, MOL VIBRATIONS CRYST
[7]  
Dolphin D., 1977, TABULATION INFRARED, P178
[9]   AN ITERATIVE METHOD FOR THE CALCULATION OF NARROW SOLITARY EXCITATIONS ON ATOMIC CHAINS [J].
HOCHSTRASSER, D ;
MERTENS, FG ;
BUTTNER, H .
PHYSICA D, 1989, 35 (1-2) :259-266
[10]  
KITTEL C, 1966, INTRO SOLID STATE PH, pCH5