Results 21 to 30 of about 998,269 (325)
Nonlinear interaction of copropagating and counterpropagating waves in straight and highly twisted single-mode fibers [PDF]
, 1988 We derive the system of equations describing the nonlinear interaction, associated with the optical Kerr effect, among the four forward- and backward-propagating modes in a straight single-mode fiber.
Crosignani, B., Yariv, A.
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Minimax Control of Nonlinear Evolution Equations [PDF]
Journal of Mathematical Analysis and Applications, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Papageorgiou, Nikolaos S. +1 more
openaire +2 more sources
AIMS Mathematics, 2019 Nonlinear evolution equations (NLEEs) of fractional order play important role to explain the inner mechanisms of complex phenomena in various fields of the real world.
M. A. Akbar, N. Ali, M. T. Islam
semanticscholar +1 more source
Open Physics, 2017 Modelling of physical systems mathematically, produces nonlinear evolution equations. Most of the physical systems in nature are intrinsically nonlinear, therefore modelling such systems mathematically leads us to nonlinear evolution equations.
Tasbozan Orkun +3 more
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Optical and quantum electronics, 2023 In this study, Sardar sub-equation method is employed to obtain the solitary wave solutions for generalized fractional Tzitzéica type equations. By utilizing this method, novel solutions are derived for Tzitzéica, Tzitzéica Dodd–Bullough–Mikhailov and ...
Dean Chou +3 more
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Results in Physics, 2016 We consider the generalized fifth-order KdV type nonlinear evolution equation with variable coefficients. The system technique has been applied rigorously in order to find new exact solutions of the considered equations.
Hyunsoo Kim, Sunmi Lee
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Journal of Applied Mathematics, 2013 A good idea of finding the exact solutions of the nonlinear evolution equations is introduced. The idea is that the exact solutions of the elliptic-like equations are derived using the simplest equation method and the modified simplest equation method ...
Yun-Mei Zhao, Ying-Hui He, Yao Long
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Kinetic equation for a dense soliton gas [PDF]
, 2005 We propose a general method to derive kinetic equations for dense soliton gases in physical systems described by integrable nonlinear wave equations.
A. M. Kamchatnov +7 more
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Potentialisations of a class of fully-nonlinear symmetry-integrable evolution equations [PDF]
Open Communications in Nonlinear Mathematical PhysicsWe consider here the class of fully-nonlinear symmetry-integrable third-order evolution equations in 1+1 dimensions that were proposed recently in the journal Open Communications in Nonlinear Mathematical Physics, vol. 2, 216--228 (2022).
Marianna Euler, Norbert Euler
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Partial Differential Equations in Applied Mathematics, 2023 Fractional nonlinear evolution equations are mathematical representations used to explain a wide range of complex phenomena occurring in nature. By incorporating fractional order viscoelasticity, these equations can accurately depict the intricate ...
Sujoy Devnath +2 more
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