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2 Acta Physica Polonica A

2 2017

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Solitons in Nonlinear Directional Couplers with Optical Metamaterials by Trial Function Scheme

100%

Arnous A. , Ekici M. , Moshokoa S. , Zaka Ullah M. , Biswas A. , Belic M.

Acta Physica Polonica A

2017

tom 132

nr 4

1399-1410

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.

Embedded Solitons and Conservation Law with χ^{(2)} and χ^{(3)} Nonlinear Susceptibilities

84%

Savescu M. , Kara A. , Kumar S. , Krishnan E. , Zaka Ullah M. , Moshokoa S. , Zhou Q. , Biswas A.

Acta Physica Polonica A

2017

tom 131

nr 2

297-303

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.