(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

页码：45 / 52

页数：8

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