Solutions of several coupled discrete models in terms of Lame polynomials of order one and two

被引:4
作者
Khare, Avinash [1 ]
Saxena, Avadh [2 ,3 ]
机构
[1] Inst Phys, Bhubaneswar 751005, Orissa, India
[2] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
[3] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA
来源
PRAMANA-JOURNAL OF PHYSICS | 2012年 / 78卷 / 02期
关键词
Solitons; Jacobi elliptic functions; phase transitions; field theories; NONLINEAR SCHRODINGER-EQUATION; DOUBLY-PERIODIC-SOLUTIONS; SCALAR FIELD-EQUATIONS; JACOBI ELLIPTIC FUNCTIONS; EXACT SOLITON-SOLUTIONS; KLEIN-GORDON EQUATIONS; CYCLIC IDENTITIES;
D O I
10.1007/s12043-011-0215-z
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Coupled discrete models abound in several areas of physics. Here we provide an extensive set of exact quasiperiodic solutions of a number of coupled discrete models in terms of Lam, polynomials of order one and two. Some of the models discussed are: (i) coupled Salerno model, (ii) coupled Ablowitz-Ladik model, (iii) coupled saturated discrete nonlinear Schrodinger equation, (iv) coupled I center dot (4) model and (v) coupled I center dot (6) model. Furthermore, we show that most of these coupled models in fact also possess an even broader class of exact solutions.
引用
收藏
页码:187 / 213
页数:27
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