Optical solutions of the (2 + 1)-dimensional hyperbolic nonlinear Schrödinger equation using two different methods
Autor: | Ahmet Bekir, E. Tala-Tebue, Hadi Rezazadeh, Yu-Ming Chu, Cedric Tetchoka-Manemo |
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Rok vydání: | 2020 |
Předmět: |
Optical fiber
Representations of some solutions One-dimensional space General Physics and Astronomy Context (language use) 02 engineering and technology 01 natural sciences law.invention symbols.namesake law 0103 physical sciences Nonlinear Schrödinger equation Exact solutions 010302 applied physics Physics Phase portrait Mathematical analysis Elliptic function 021001 nanoscience & nanotechnology lcsh:QC1-999 Capacitor Nonlinear parameters symbols Phase portraits 0210 nano-technology lcsh:Physics |
Zdroj: | Results in Physics, Vol 19, Iss, Pp 103514-(2020) |
ISSN: | 2211-3797 |
Popis: | This paper studies the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger equation. The first integral of this equation, the phase portraits and the effective potentials are provided. Two different methods are applied to find exact analytical solutions. These methods are the arbitrary nonlinear parameters and the new Jacobi elliptic function expansion method. To give a behavior of the equation studied, some representations are done. In the context of mono-mode optical fibers and in many other domains like nonlinear transmission lines, Bose-Einstein capacitors and so on, the results obtained may be used. We have also established that the solutions obtained here are different from those encounter in the literature concerning the same model. |
Databáze: | OpenAIRE |
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