Forced (2+1)-dimensional discrete three-wave equation

被引:7
|
作者
Zhu, Junyi [1 ]
Zhou, Sishou [2 ]
Qiao, Zhijun [3 ]
机构
[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China
[2] Kashgar Univ, Sch Math & Stat, Kashgar 844006, Xinjiang, Peoples R China
[3] Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78539 USA
基金
中国国家自然科学基金;
关键词
discrete (2+1)-dimensional three-wave equation; partial derivative-dressing method; explicit solution; INVERSE SCATTERING; N-WAVE; TRANSFORMATION; EVOLUTION; SYSTEMS;
D O I
10.1088/1572-9494/ab5fb4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We generalize the partial derivative-dressing method to investigate a (2 + 1)-dimensional lattice, which can be regarded as a forced (2 + 1)-dimensional discrete three-wave equation. The soliton solutions to the (2 + 1)-dimensional lattice are given through constructing different symmetry conditions. The asymptotic analysis of one-soliton solution is discussed. For the soliton solution, the forces are zero.
引用
收藏
页数:7
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