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Optical Soliton Perturbation in Nonlinear Directional Couplers

100%
Vega-Guzman J., Babatin M., Biswas A.
Acta Physica Polonica A
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2018
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vol. 133
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issue 1
167-178
EN
This paper secures soliton solutions to optical couplers in presence of Hamiltonian perturbation terms by the aid of undetermined coefficients. Both twin core couplers and multiple core couplers are studied. Bright, dark and singular soliton solutions are obtained for the model. The existence criteria for the solitons are also presented. The study is focused to the Kerr and power laws of nonlinearity.
2
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Effect of Microstructural Morphology on Microscale Deformation Behavior of Al-4.5Cu-2Mg Alloy

100%
Biswas A., Bhandari R., Kumar Mondal M., Mandal D.
Archives of Metallurgy and Materials
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2018
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vol. 63
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issue 4
3
Content available remote

Chirped Optical Solitons in Birefringent Fibers with Parabolic Law Nonlinearity and Four-Wave Mixing

100%
Triki H., Biswas A., Milović D., Belić M.
Acta Physica Polonica A
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2016
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vol. 130
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issue 3
718-726
EN
We investigate exact soliton solutions with nonlinear chirp for the coupled nonlinear Schrödinger equations with cubic-quintic nonlinearity, self-steepening, self-frequency shift and four-wave mixing. The model governs the femtosecond pulse propagation in birefringent fibers. We introduce a new ansatz to obtain the nonlinear chirp associated with the propagating soliton pulses. New chirped soliton pair solutions with non-trivial chirping are found for the coupled nonlinear equations, illustrating the potentially rich set of solitonic pulse solutions of the model with higher-order effects. The solutions comprise two types of bright-W-shaped and bright-bright soliton pairs as well as kink and anti-kink pulses. Interestingly, the bright wave in the bright-W shaped soliton pairs possesses a platform underneath it, originating from the self-steepening and self-frequency shift effects. The corresponding chirp associated with each of these optical soliton pairs is also determined. It is shown that the nonlinear chirp is related to the pair intensity and determined by self-frequency shift and pause self-steepening. Parametric conditions for the existence and uniqueness of chirped solutions are given.
4
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Application of Tanh Method to Complex Coupled Nonlinear Evolution Equations

100%
Abdelkawy M., Bhrawy A., Zerrad E., Biswas A.
Acta Physica Polonica A
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2016
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vol. 129
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issue 3
278-283
EN
This paper studies the application of tanh method to address a few coupled nonlinear evolution equations that are in complex domain. There are soliton solutions as well as triangular solutions that are revealed with this integration scheme. The equations studied in this paper are applicable to various branches of applied and theoretical physics.
5
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Soliton Solution and Conservation Law of Gear-Grimshaw Model for Shallow Water Waves

100%
Triki H., Kara A., Bhrawy A., Biswas A.
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vol. 125
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issue 5
1099-1107
EN
This paper is going to obtain the soliton solution of the Gear-Grimshaw model that describes the dynamics of two-layered shallow water waves in oceans and rivers. The topological 1-soliton solution will be obtained by the ansatz method. There are several constraint conditions that will be taken care of. This will be followed by the model with power law nonlinearity. Subsequently, the conservation laws for this model will be derived by the aid of multiplier approach from the Lie symmetry analysis. Finally, the F-expansion method will extract a few more interesting solutions to the model.
6
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Shock Waves and Other Solutions to the Benjamin-Bona-Mahoney-Burgers Equation with Dual Power-Law Nonlinearity

88%
Wang G., Xu T., Abazari R., Jovanoski Z., Biswas A.
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vol. 126
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issue 6
1221-1225
EN
We study the hybrid Benjamin-Bona-Mahoney-Burgers equation with dual power-law nonlinearity. Three different techniques - the ansatz method, Lie-symmetry analysis and the (G'/G)-expansion method - are used to find shock wave solutions. Several constraint conditions naturally emerge that guarantee the existence of shock waves. We discuss the nature of the solutions generated by the different methods.
7
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Solitons and Other Solutions to Perturbed Rosenau-KdV-RLW Equation with Power Law Nonlinearity

76%
Sanchez P., Ebadi G., Mojaver A., Mirzazadeh M., Eslami M., Biswas A.
Acta Physica Polonica A
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2015
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vol. 127
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issue 6
1577-1587
EN
This paper obtains solitons and other solutions to the perturbed Rosenau-KdV-RLW equation that is used to model dispersive shallow water waves. This equation is taken with power law nonlinearity in this paper. There are several integration tools that are adopted to solve this equation. These are Kudryashov method, sine-cosine function method, G'/G-expansion scheme and finally the exp-function approach. Solitons and other solutions are obtained along with several constraint conditions that naturally emerge from the structure of these solutions.
8
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Solitons in Nonlinear Directional Couplers with Optical Metamaterials by Trial Function Scheme

76%
Arnous A., Ekici M., Moshokoa S., Zaka Ullah M., Biswas A., Belic M.
Acta Physica Polonica A
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2017
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vol. 132
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issue 4
1399-1410
EN
This paper obtains soliton solutions to nonlinear directional couplers in optical metamaterials by the aid of trial function method. Three types of couplers are studied. Four forms of nonlinearity are considered. Bright, dark, and singular soliton solutions are retrieved. These soliton solutions appear with certain constraint conditions that guarantee their existence.
9
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Embedded Solitons and Conservation Law with χ^{(2)} and χ^{(3)} Nonlinear Susceptibilities

64%
Savescu M., Kara A., Kumar S., Krishnan E., Zaka Ullah M., Moshokoa S., Zhou Q., Biswas A.
Acta Physica Polonica A
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2017
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vol. 131
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issue 2
297-303
EN
This paper studies embedded solitons that are confined to continuous spectrum, with χ^{(2)} and χ^{(3)} nonlinear susceptibilities. Bright and singular soliton solutions are obtained by the method of undetermined coefficients. Subsequently, the Lie symmetry analysis and mapping method retrieves additional solutions to the model such as shock waves, singular solitons, cnoidal waves, and several others. Finally, a conservation law for this model is secured through the Lie symmetry analysis.
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