Controllable rational solutions in nonlinear optics fibers
| Autor: | Victor K. Kuetche, Bandar Almohsen, Serge P. Mukam, Alphonse Houwe, Souleymanou Abbagari, Thomas B. Bouetou, Serge Y. Doka |
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| Rok vydání: | 2020 |
| Předmět: |
Physics
Complex system General Physics and Astronomy Nonlinear optics 01 natural sciences symbols.namesake Nonlinear Sciences::Exactly Solvable and Integrable Systems Classical mechanics Transformation (function) 0103 physical sciences Femtosecond symbols Soliton Rogue wave 010306 general physics 010301 acoustics Nonlinear Schrödinger equation Matrix method |
| Zdroj: | The European Physical Journal Plus. 135 |
| ISSN: | 2190-5444 |
| DOI: | 10.1140/epjp/s13360-020-00640-0 |
| Popis: | Based on Darboux matrix method, a generalized Darboux transformation of a generalized nonlinear Schrodinger equation possessing higher-order terms which refer to a femto second pulse propagation in a nonlinear fiber optic is constructed. This nonlinear Schrodinger equation can model the propagation of soliton in a Heisenberg spin chain. Using the above-generalized Darboux transformation, we calculate the first, two and third-order rogue wave solutions and give general formulae for generating Nth-order ones. We discuss the effect of higher-order terms contained in the above equation. |
| Databáze: | OpenAIRE |
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