Publication Date:
2018-03-20
Description:
Publication date: Available online 17 March 2018 Source: Wave Motion Author(s): Lei Liu, Bo Tian, Hui-Min Yin, Zhong Du Investigated in this paper are vector bright soliton interactions of the coupled Sasa-Satsuma equations, which describe the simultaneous propagation of two ultrashort pulses in the birefringent or two-mode fiber. Lax pair and the corresponding Darboux-dressing transformation are constructed. Performing the iterative formula, analytic bright one-, two- and even N -soliton solutions can be obtained. Through classifying different parameter conditions, we present six cases of interactions between the vector two solitons via the graphic analysis. Compared with vector soliton interactions of the coupled NLS, incoherently coupled NLS and coupled Hirota equations, interactions of the coupled Sasa-Satsuma equations are richer and more complicated. During interaction between the two solitons, in addition to the energy exchanges, the singular-I soliton always keeps the sech-type profile, while the singular-II and nonsingular solitons may be converted to each other.
Print ISSN:
0165-2125
Electronic ISSN:
1878-433X
Topics:
Geosciences
,
Physics
