Dark optical solitons and conservation laws for parabolic and dual-power law nonlinearities in (2 + 1)-dimensions |
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| Authors: | Houria Triki S Lepule A Love Abdul Hamid Kara Anjan Biswas |
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| Institution: | 1. Radiation Physics Laboratory, Department of Physics, Badji Mokhtar University, 2300 Annaba, Algeria;2. School of Mathematics, University of the Witwatersrand, Wits 2050, Johannesburg, South Africa;3. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA;4. Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi Arabia |
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| Abstract: | This paper studies the dynamics of optical solitons with parabolic and dual-power law nonlinearities. The dark 1-soliton solution is first obtained by the ansatz method along with the necessary constraint conditions, for both of these nonlinearities. Subsequently, the invariance, conservation laws and double reductions of the governing nonlinear Schrödinger's equation are studied and the conserved densities are thus revealed. |
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| Keywords: | Ansatz method Lie symmetries Conservation laws |
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