期刊
PHYSICAL REVIEW E
卷 95, 期 3, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.95.032202
关键词
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资金
- National Natural Science Foundation of China [11272023, 11471050]
- Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications)
- Fundamental Research Funds for the Central Universities of China [2011BUPTYB02]
Under investigation in this paper is the Sasa-Satsuma equation, which describes the propagation of ultrashort pulses in a monomode fiber with the third-order dispersion, self-steepening, and stimulated Raman scattering effects. Based on the known bilinear forms, through the modified expanded formulas and symbolic computation, we construct the bright two-soliton solutions. Through classifying the interactions under different parameter conditions, we reveal six cases of interactions between the two solitons via an asymptotic analysis. With the help of the analytic and graphic analysis, we find that such interactions are different from those of the nonlinear Schrodinger equation and Hirota equation. When those solitons interact with each other, the singular-I soliton is shape-preserving, while the singular-II and nonsingular solitons may be shape preserving or shape changing. Such elastic and inelastic interaction phenomena in a scalar equation might enrich the knowledge of soliton behavior, which could be expected to be experimentally observed.
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