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- W4320031432 abstract "A nonlinear wave is one of the basic objects of physics. They are inherent to plasma physics and solid state physics, gravity and nuclear physics, field theory and optics, hydrodynamics and aerodynamics, kinetics of chemical reactions and population dynamics. It is well known that the construction of explicit solutions for an integrable system plays a significant part in the definition and explanation of nonlinear phenomena. In this article, we will focus on integrable nonlinear Schrodinger and Maxwell-Bloch equations (NLS-MB) that represents the propagation of optical impulses in an inhomogeneous fiberglass with erbium-doped losses or amplification due to an external potential. Lax representation of NLS-MB will be given. Based on relevant Lax pair, Darboux transformation for NLS-MB will be obtained. Exact solutions will be derived through the Darboux transformation. Graphs of the obtained solutions will be constructed. By using our approach one can find also other differerent exact solutions of NLS-MB equations." @default.
- W4320031432 created "2023-02-12" @default.
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- W4320031432 date "2022-12-01" @default.
- W4320031432 modified "2023-10-18" @default.
- W4320031432 title "Darboux transformation and exact solutions of NLS-MB equations" @default.
- W4320031432 doi "https://doi.org/10.26577/ijmph.2022.v13.i2.05" @default.
- W4320031432 hasPublicationYear "2022" @default.
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