Results 31 to 40 of about 746,627 (265)
Results in Physics, 2023 This article discusses the saturable nonlinear Schrödinger equation, which is a key equation in the study of condensed matter physics, plasma physics, and nonlinear optics.
Romana Ashraf +4 more
doaj
Inverse problem of recovering a time-dependent nonlinearity appearing in third-order nonlinear acoustic equations [PDF]
arXiv, 2023 In this paper, we consider the inverse problem of recovering a time-dependent nonlinearity for a third order nonlinear acoustic equation, which is known as the Jordan-Moore-Gibson-Thompson equation (J-M-G-T equation for short). This third order in time equation arises, for example, from the wave propagation in viscous thermally relaxing fluids.
arxiv
Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions [PDF]
, 2016 In 2013, a new nonlocal symmetry reduction of the well-known AKNS (an integrable system of partial differential equations, introduced by and named after Mark J. Ablowitz, David J. Kaup, and Alan C. Newell et al. (1974)) scattering problem was found.
M. Ablowitz, Xu‐Dan Luo, Z. Musslimani
semanticscholar +1 more source
Families of Solutions of Multitemporal Nonlinear Schrödinger PDE
Mathematics, 2021 The multitemporal nonlinear Schrödinger PDE (with oblique derivative) was stated for the first time in our research group as a universal amplitude equation which can be derived via a multiple scaling analysis in order to describe slow modulations of the ...
Cristian Ghiu +2 more
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Integrable nonlocal nonlinear Schrödinger equation.
Physical Review Letters, 2013 A new integrable nonlocal nonlinear Schrödinger equation is introduced. It possesses a Lax pair and an infinite number of conservation laws and is PT symmetric.
M. Ablowitz, Z. Musslimani
semanticscholar +1 more source
A Robust Inverse Scattering Transform for the Focusing Nonlinear Schrödinger Equation [PDF]
Communications on Pure and Applied Mathematics, 2017 We propose a modification of the standard inverse scattering transform for the focusing nonlinear Schrödinger equation (also other equations by natural generalization) formulated with nonzero boundary conditions at infinity.
Deniz Bilman, P. Miller
semanticscholar +1 more source
Polar compactons and solitons in a two dimensional optical waveguide: Theory and simulations
Results in Optics, 2023 The propagation of optical cylindrical compactons and solitons in a two dimensional nonlocal nonlinear waveguide is deeply investigated by carrying a particular emphasis on its nonlinear response function.
Fabien Kenmogne +6 more
doaj
Nonlinear differential equations with exact solutions expressed via the Weierstrass function [PDF]
, 2003 New problem is studied that is to find nonlinear differential equations with special solutions expressed via the Weierstrass function. Method is discussed to construct nonlinear ordinary differential equations with exact solutions. Main step of our method is the assumption that nonlinear differential equations have exact solutions which are general ...
arxiv +1 more source
Solving a nonlinear fractional Schrödinger equation using cubic B-splines
Advances in Difference Equations, 2020 We study the inhomogeneous nonlinear time-fractional Schrödinger equation for linear potential, where the order of fractional time derivative parameter α varies between 0 < α < 1 $0 < \alpha < 1$ .
M. Erfanian +3 more
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Advances in Difference Equations, 2019 This paper aims to present an application of the Riemann–Hilbert approach to treat higher-order nonlinear differential equation that is an eighth-order nonlinear Schrödinger equation arising in an optical fiber. Starting from the spectral analysis of the
Zhou-Zheng Kang +2 more
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