(2+1)-dimensional Davey-Stewartson II equation for a two-dimensional nonlinear monatomic lattice

被引：2
|
作者：
Li, ZF
Ruan, HY [1 ]
机构：
[1] Ningbo Univ, Dept Phys, Ningbo 315211, Peoples R China
[2] Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Peoples R China
[3] Chinese Acad Sci, Acad Math & Syst Sci, Inst Comp Math & Sci Engn Comp, State Key Lab Sci & Engn, Beijing 100080, Peoples R China
来源：
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2006年 / 61卷 / 1-2期
关键词：
two-dimensional monatomic lattice; method of multiple scales; quasi-discreteness approximation; Davey-Stewartson II equation;
D O I：
10.1515/zna-2006-1-207
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
A two-dimensional monatomic lattice with nearest-neighbor interaction is investigated by the method Of multiple Scales combined with a quasidiscreteness approximation. The Davey-Stewartson It equation (DS-II) is obtained from the original two-dimensional (2D) differential-difference system. By solving the DS-II, explicit periodic solutions, soliton Solutions and rational function solutions are obtained, and the leading order approximated Solutions of the 2D monatomic lattice are constructed by explicit solutions of the DS-II.
引用
收藏
页码：45 / 52
页数：8
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