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Optical and Quantum Electronics
Erschienen in: Optical and Quantum Electronics 2/2016

01.02.2016

Dispersive dark optical soliton with Tzitzéica type nonlinear evolution equations arising in nonlinear optics

Dispersive dark optical soliton with Tzitzéica ...

verfasst von: Jalil Manafian, Mehrdad Lakestani

Erschienen in: Optical and Quantum Electronics | Ausgabe 2/2016

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Abstract

A improvement of the expansion methods namely the improved \(\tan \left( \varPhi (\xi )/2\right)\)-expansion method for solving the Tzitzéica type nonlinear evolution equations is proposed. In this work, the dispersive optical solitons that are governed by the Tzitzéica type nonlinear evolution equations. As a result, many new and more general exact travelling wave solutions are obtained including periodic function solutions, soliton-like solutions and trigonometric function solutions. The exact particular solutions containing four types hyperbolic function solution, trigonometric function solution, exponential solution and rational solution. We obtained the further solutions comparing with other methods. Recently this method is developed for searching exact travelling wave solutions of nonlinear partial differential equations. Abundant exact travelling wave solutions including solitons, kink, periodic and rational solutions have been found. These solutions might play important role in engineering fields. It is shown that this method, with the help of symbolic computation, provides a straightforward and powerful mathematical tool for solving the nonlinear problems.
Vorheriger Artikel LD pumped passively Q-switched ceramic Nd:YAG 946 nm laser with a high peak power output
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Metadaten
Titel
Dispersive dark optical soliton with Tzitzéica type nonlinear evolution equations arising in nonlinear optics
Dispersive dark optical soliton with Tzitzéica ...
verfasst von
Jalil Manafian
Mehrdad Lakestani
Publikationsdatum
01.02.2016
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 2/2016
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-016-0371-y

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