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Optical soliton solutions for Lakshmanan-Prosezain- Daniel model using three different methods |
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PP: 191-200 |
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doi:10.18576/amis/180119
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Author(s) |
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Tasneem Adel,
Afaf A. S. Zaghrout,
K. R. Raslan,
Khalid K. Ali,
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Abstract |
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| In Ithis paper the solution of lakshmanan-Prosezain-Daniel equation (LPDE) are obtained using three methods kudryashov method, (G′(η)) expansion method and tanh expansion method. We use these methods to reduces the LPD equation to an ordinary
G(η )
differential equation (ODE). All solutions are investegated by introduced figures in 2D and 3D. Dark, singular and bright optical soliton solutions related with optical fibers are presented. We think that these solutions are very important in the field of optical fiber.These methods provide us with mathematical equipments which can be used to solve nonlinear partial differential equation in mathematical physics.
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