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Lie symmetry analysis and exact solutions to N-coupled nonlinear Schrodinger’s equations with kerr and parabolic law nonlinearities

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Yıldırım, Yakup
Yaşar, Emrullah

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Triki, Houria
Zhou, Qin
Moshokoa, Seithuti P.
Ullah, Malik Zaka
Biswas, Anjan
Belic, Milivo

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Editura Acad Romane

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Abstract

This paper addresses N-coupled nonlinear Schrodinger's equation with spatio-temporal dispersion for Kerr and parabolic laws of nonlinearity by the aid of Lie symmetry analysis. We systematically construct similarity reductions to the derived ordinary differential equations by Lie group analysis. These equations lead to exact solutions.

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Physics, Lie symmetry analysis, Nonlinear Schrodinger's equation, Optical solitons, Spatio-temporal dispersion, Optical solitons, Birefringent fibers, Waves

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Yıldırım, Y. vd. (2018). ''Lie symmetry analysis and exact solutions to N-coupled nonlinear Schrodinger’s equations with kerr and parabolic law nonlinearities''. Romanian Journal of Physics, 63(1-2).

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