Rogue wave solutions for a coupled nonlinear Schrödinger equation in the birefringent optical fiber
| Autor: | Zhong-Zhou Lan |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Birefringence
Optical fiber Applied Mathematics Computation 010102 general mathematics Mathematical analysis Physics::Optics 01 natural sciences law.invention 010101 applied mathematics symbols.namesake Nonlinear Sciences::Exactly Solvable and Integrable Systems Transformation (function) Amplitude law Lax pair symbols 0101 mathematics Rogue wave Nonlinear Schrödinger equation Mathematics |
| Zdroj: | Applied Mathematics Letters. 98:128-134 |
| ISSN: | 0893-9659 |
| DOI: | 10.1016/j.aml.2019.05.028 |
| Popis: | In this paper, we investigate a fourth-order coupled nonlinear Schrodinger equation, which describes the propagation of ultrashort optical pulses in the birefringent optical fiber. Lax pair is constructed through the symbolic computation, along with the corresponding Darboux transformation (DT) which is different from that given in the existing literatures. Rogue wave solutions are obtained by virtue of the DT. Three different types of the rogue waves based on the solutions are exhibited, i.e., the anti-eye-shaped, eye-shaped four-petaled ones. Moreover, we find that the wave structure is affected by the relative background amplitudes and certain parameter in the solutions, and the range of the first-order rogue wave along the x axis increases with the increase of the fourth order term γ , while the range of the rogue wave along the t axis decreases. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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