Chirped optical soliton perturbation of Fokas–Lenells equation with full nonlinearity
| Autor: | Anjan Biswas, K. S. Al-Ghafri, E. V. Krishnan |
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| Rok vydání: | 2020 |
| Předmět: |
Algebra and Number Theory
Partial differential equation lcsh:Mathematics Applied Mathematics Mathematical analysis Ode Characteristic equation Physics::Optics Fokas–Lenells equation with full nonlinearity Perturbation (astronomy) lcsh:QA1-939 Chirped solitons 01 natural sciences 010309 optics Nonlinear system Nonlinear Sciences::Exactly Solvable and Integrable Systems Ordinary differential equation 0103 physical sciences Chirp Soliton 010306 general physics Nonlinear Sciences::Pattern Formation and Solitons Auxiliary equation method Analysis Mathematics |
| Zdroj: | Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-12 (2020) |
| ISSN: | 1687-1847 |
| DOI: | 10.1186/s13662-020-02650-9 |
| Popis: | The present paper focuses on the chirped soliton solutions of the Fokas–Lenells equation in the presence of perturbation terms. A complex envelope traveling-wave solution is used to reduce the governing equation to an ordinary differential equation (ODE). An auxiliary equation in the form of a first-order nonlinear ODE with six-degree terms is implemented as a solution method. Various types of chirped soliton solutions including bright, dark, kink and singular solitons are extracted. The associated chirp is also determined for each of these optical pulses. Restrictions for the validity of chirped soliton solutions are presented. |
| Databáze: | OpenAIRE |
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