(2+1)-dimensional Davey-Stewartson I description in a 2D lattice model

被引:0
|
作者
Li, Zhi-fang [1 ]
Ruan, Hang-yu [1 ]
机构
[1] Ningbo Univ, Dept Phys, Ningbo 315211, Peoples R China
关键词
D O I
10.1088/0031-8949/77/06/065009
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The paper is devoted to investigate a two-dimensional (2D) lattice model with interactions between the first- and second-nearest neighbors, which is extracted from a cubic lattice of cystalline alloys. With the help of the method of multiple scales combined with a quasidiscreteness approximation, the (2+1)-dimensional Davey-Stewartson-I (DS-I) equation is obtained from the original 2D discrete system, which is completely integrable and admits explicit solutions such as positon solutions (which are locally singular) and dromions (which decay exponentially in all spatial directions). Then the leading order-approximated solutions of the 2D lattice are constructed by the explicit solutions of the DS-I.
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页数:7
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