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Vector semirational rogue waves for a coupled nonlinear Schrödinger system in a birefringent fiber
- Source :
- Applied Mathematics Letters. 87:50-56
- Publication Year :
- 2019
- Publisher :
- Elsevier BV, 2019.
-
Abstract
- Under investigation in this paper is a coupled nonlinear Schrodinger system with the four-wave mixing term, which describes the propagation of optical waves in a birefringent fiber. Via the Darboux dressing transformation, the semirational solutions which give rise to the vector rogue waves and breathers are obtained. We display the vector rogue waves and the interaction between the rogue waves and bright–dark solitons. During the interaction, breather-like structures arise because of the interference between the dark and bright components of the soliton. Besides, it can be observed that the rogue wave and soliton merge together. Interactions between the breathers and bright–dark solitons are shown graphically. Keeping | α 1 | 2 a + | α 2 | 2 c + b α 1 α 2 ∗ + b ∗ α 1 ∗ α 2 invariant, we find that the smaller value of a c − | b | 2 yields the more obvious breather-like structure, with a and c representing the self- and cross-phase modulations, respectively, b representing the four-wave mixing effect, α 1 and α 2 being two constants. Similarly, keeping a c − | b | 2 invariant, we find that the smaller value of | α 1 | 2 a + | α 2 | 2 c + b α 1 α 2 ∗ + b ∗ α 1 ∗ α 2 yields the more obvious breather-like structure. Bound state forming between the Kuznetsov-Ma soliton and breather-like structure is illustrated.
- Subjects :
- Breather
Applied Mathematics
010102 general mathematics
Interference (wave propagation)
01 natural sciences
Molecular physics
010101 applied mathematics
Nonlinear system
Nonlinear Sciences::Exactly Solvable and Integrable Systems
Bound state
Soliton
0101 mathematics
Rogue wave
Invariant (mathematics)
Nonlinear Sciences::Pattern Formation and Solitons
Mixing (physics)
Mathematics
Subjects
Details
- ISSN :
- 08939659
- Volume :
- 87
- Database :
- OpenAIRE
- Journal :
- Applied Mathematics Letters
- Accession number :
- edsair.doi...........983e0f71068cc96122150cb143011269