Dynamic behaviors of the breather solutions for the AB system in fluid mechanics

被引：169

作者：

Guo, Rui ^{[1
]}

Hao, Hui-Qin ^{[1
]}

Zhang, Ling-Ling ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Sch Math, Taiyuan 030024, Peoples R China

来源：

NONLINEAR DYNAMICS | 2013年 / 74卷 / 03期

基金：

中国国家自然科学基金;

关键词：

AB system; Conservation laws; Modulational instability; Darboux transformation; Soliton; Breathers; MODULATION INSTABILITY; PERIODIC-SOLUTIONS; SCHRODINGER; EQUATIONS; MODEL;

D O I：

10.1007/s11071-013-0998-1

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Under investigation in this paper is the AB system, which describes marginally unstable baroclinic wave packets in geophysical fluids. Through symbolic computation, Lax pair and conservation laws are derived and the Darboux transformation is constructed for this system. Furthermore, three types of breathers on the continuous wave (cw) background are generated via the obtained Darboux transformation. The following contents are mainly discussed by figures plotted: (1) Modulation instability processes of the Akhmediev breathers in the presence of small perturbations; (2) Propagations characteristics of Ma solitons; (3) Dynamic features of the breathers evolving periodically along the straight line with a certain angle of z-axis and t-axis.

引用

页码：701 / 709

页数：9

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