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Optical and Quantum Electronics
Erschienen in: Optical and Quantum Electronics 11/2017

01.11.2017

Solitons and other solutions to the nonlinear Bogoyavlenskii equations using the generalized Riccati equation mapping method

verfasst von: Elsayed M. E. Zayed, Abdul-Ghani Al-Nowehy

Erschienen in: Optical and Quantum Electronics | Ausgabe 11/2017

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Abstract

Recently, the authors of the article (Zahran and khater in Appl Math Model 40:1769–1775, 2016) have applied the modified extended tanh-function method to the nonlinear Bogoyavlenskii equations and found very few special solutions. In our article, we generalize this work by showing that the modified extended tanh-function method is just a special case of the generalized Riccati equation mapping method. Many families of exact solutions of the nonlinear Bogoyavlenskii equations have been found using the generalized Riccati equation mapping method. Bright–dark–singular soliton solutions and other solutions are obtained. Comparing our results with the well-known results are given.
Vorheriger Artikel Spectrum tuning and stabling of a mid-infrared singly resonant optical parametric oscillator using intracavity etalon: theoretical and experimental investigation
Nächster Artikel Mode-locking S-band erbium fiber laser by employing alcohol-based saturable-absorber

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Metadaten
Titel
Solitons and other solutions to the nonlinear Bogoyavlenskii equations using the generalized Riccati equation mapping method
verfasst von
Elsayed M. E. Zayed
Abdul-Ghani Al-Nowehy
Publikationsdatum
01.11.2017
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 11/2017
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-017-1195-0

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