Journal
NONLINEAR DYNAMICS
Volume 74, Issue 3, Pages 701-709Publisher
SPRINGER
DOI: 10.1007/s11071-013-0998-1
Keywords
AB system; Conservation laws; Modulational instability; Darboux transformation; Soliton; Breathers
Categories
Funding
- Scientific and Technologial Innovation Programs of Higher Education Institutions in Shanxi [2013110]
- National Natural Science Foundation of China [61250011]
- Natural Science Foundation of Shanxi Province [2012011004-3]
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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.
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