Results 21 to 30 of about 2,100,774 (208)
Multiscale expansion and integrability properties of the lattice potential KdV equation [PDF]
, 2008 We apply the discrete multiscale expansion to the Lax pair and to the first few symmetries of the lattice potential Korteweg-de Vries equation. From these calculations we show that, like the lowest order secularity conditions give a nonlinear Schrödinger
Decio Levi +10 more
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Boundary Value Problems, 2020 In this article, we study a modified maximum principle approach under condition on the weight of the delay term in the feedback and the weight of the term without delay.
Yisheng Hu +3 more
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Noncommutative Reduction of Nonlinear Schrödinger Equation on Lie Groups
Universe, 2022 We propose a new approach that allows one to reduce nonlinear equations on Lie groups to equations with a fewer number of independent variables for finding particular solutions of the nonlinear equations.
Alexander Breev +2 more
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Optical solitons and modulation instability analysis to the quadratic-cubic nonlinear Schrödinger equation [PDF]
, 2018 This paper obtains the dark, bright, dark-bright, dark-singular optical and singular soliton solutions to the nonlinear Schrödinger equation with quadratic-cubic nonlinearity (QC-NLSE), which describes the propagation of solitons through optical fibers ...
Yusuf, Abdullahi +3 more
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Journal of Function Spaces, 2022 Here, the miscellaneous soliton solutions of the generalized nonlinear Schrödinger equation are considered that describe the model of few-cycle pulse propagation in metamaterials with parabolic law of nonlinearity.
Xiaoyan Li +5 more
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The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions
Abstract and Applied Analysis, 2013 The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS ...
Shoukry Ibrahim Atia El-Ganaini
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On Darboux transformations for the derivative nonlinear Schrödinger equation [PDF]
, 2014 We consider Darboux transformations for the derivative nonlinear Schrödinger equation. A new theorem for Darboux transformations of operators with no derivative term are presented and proved.
Yılmaz, Halis +2 more
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TRAVELING WAVE SOLUTIONS OF TWO-DIMENSIONAL NONLINEAR SCHRODINGER EQUATION VIA SINE-COSINE METHOD
Eurasian Physical Technical Journal, 2020 In this work, an analytical study of the two-dimensional nonlinear Schrodinger equation is presented, namely, the applicability of the sine-cosine method to search for the exact solution as a traveling wave.
G.N. Shaikhova, B.B. Kutum
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Linear and Nonlinear Perturbed Wave Equations [PDF]
, 2008 We consider several Cauchy problems for the wave equation with some perturbation. First of all, we consider the wave equation with a metric perturbation, that is, we consider the d'Alembert operator in the Schwarzschild metric (which is a model for a ...
CATANIA, DAVIDE
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Advances in Mathematical Physics, 2014 We derive the solitonic solution of the nonlinear Schrödinger equation with cubic nonlinearity, complex potentials, and time-dependent coefficients using the Darboux transformation.
H. Chachou Samet +3 more
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