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Method for finding highly dispersive optical solitons of nonlinear differential equations

Optik, 2020
Abstract A method for finding solitary wave solutions to nonlinear differential equations is presented. A generalization for the logistic function to obtain a solitary wave solution is introduced. Properties of this basic function are discussed.
N. Kudryashov
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Highly dispersive optical solitons of the generalized nonlinear eighth-order Schrödinger equation

Optik, 2020
Abstract The generalized nonlinear eighth-order Schrodinger equation with third, fifth, seventh and ninth power of nonlinearity is studied. This equation can be used for description of the pulse propagation in optical fiber. It is demonstrated that this equation has highly dispersive optical solitons which are presented in the analytical form.
N. Kudryashov
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Conservation Laws for Highly Dispersive Optical Solitons in Birefringent Fibers

Regular and Chaotic Dynamics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Biswas, Anjan   +4 more
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Highly dispersive optical solitons using Kudryashov's method

Optik, 2019
Abstract This work is about highly dispersive optical solitons with Kerr law, quadratic-cubic law and non-local nonlinearities. The Kudryashov's method implemented in this paper to find the unique optical closed form of solutions. The method under consideration is consistent, effectual and can be used to establish new exact solitons of different ...
Hamood Ur Rehman   +2 more
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Conservation laws for highly dispersive optical solitons

Optik, 2019
Abstract This paper establishes conservation laws, by Lie symmetry analysis, for highly dispersive optical solitons that have been studied with four nonlinear forms. Three conserved quantities reported are power, linear momentum and the Hamiltonian. These are recovered from soliton solutions established earlier.
Anjan Biswas   +5 more
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Highly dispersive optical solitons with undetermined coefficients

Optik, 2019
Abstract This work is about highly dispersive optical solitons with Kerr and power law nonlinearity. Bright, dark and singular solitons are obtained from undetermined coefficients. This method proves that highly dispersive optical solitons are obtainable only with inter-modal and group velocity dispersions for both nonlinear forms.
Anjan Biswas   +7 more
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Highly-chirped dissipative solitons in anomalous-dispersion fiber lasers

2008 Conference on Lasers and Electro-Optics, 2008
A new modelocking regime governed by the Ginzburg-Landau equation is demonstrated in an anomalous dispersion fiber laser. Output pulses are long, flat-topped, and highly-down-chirped, with energies above 150 nJ and repetition rates below 300 kHz.
W. H. Renninger, A. Chong, F. W. Wise
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Highly Dispersive Optical Solitons of an Equation with Arbitrary Refractive Index

Regular and Chaotic Dynamics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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HIGHLY DISPERSIVE SOLITONS IN OPTICAL COUPLERS WITH METAMATERIALS HAVING KERR LAW OF NONLINEAR REFRACTIVE INDEX

Ukrainian Journal of Physical Optics
. The present paper derives highly dispersive soliton solutions in a coupler from optical metamaterials with Kerr law of nonlinear refractive index. In nonlinear optics and photonics, these wave packets possess a unique property, allowing them to sustain
E. Zayed   +8 more
semanticscholar   +1 more source

Extended path-averaged soliton regime in highly dispersive fibers

Optics Letters, 1997
It is shown that solitons can survive the large temporal broadening induced by a propagation over many dispersion lengths. The propagation requires large excess power and specific conditions of the dispersion map.
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