(2+1)-Dimensional Davey-Stewartson II Equation for a Two-Dimensional Nonlinear Monatomic Lattice-Reference-Cited by-同舟云学术

(2+1)-Dimensional Davey-Stewartson II Equation for a Two-Dimensional Nonlinear Monatomic Lattice

Published:2006-02-01 Issue:1-2 Volume:61 Page:45-52
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Li Zhi-Fang¹,Ruan Hang-Yu¹²³

Affiliation:

1. Department of Physics, Ningbo University, Ningbo 315211, China

2. Nonlinear Science Center, Ningbo University, Ningbo 315211, China

3. State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific Engineering Computing, Academy of Mathematics and System Sciences, the Chinese Academy of Sciences, P. O. Box 2719, Beijing 100080, China

Abstract

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 II 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.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2006-1-207/pdf

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1. Resonant Davey–Stewartson system: Dark, bright mixed dark-bright optical and other soliton solutions;Optical and Quantum Electronics;2022-12-01

2. On the Solitary Wave Solutions to the (2+1)-Dimensional Davey-Stewartson Equations;4th International Conference on Computational Mathematics and Engineering Sciences (CMES-2019);2020