Results 41 to 50 of about 458,466 (259)
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
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Известия Иркутского государственного университета: Серия "Математика"In this paper, we consider the loaded negative order nonlinear Schrodinger equation (NSE) in the class of periodic functions. It is shown that the loaded negative order nonlinear Schrodinger equation can be integrated by the inverse spectral problem ...
M. M. Khasanov +2 more
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A study of finite gap solutions to the nonlinear Schrödinger equation
, 2007 The vector nonlinear Schrödinger equation is an envelope equation which models the propagation of ultra-short light pulses and continuous-wave beams along optical fibres.
Warren, Oliver H, Warren, Oliver H
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DNLS equation for large-amplitude solitons propagating in an arbitrary direction in a high-[beta] Hall plasma [PDF]
, 2002 The one-dimensional oblique propagation of magnetohydrodynamic waves with arbitrary amplitudes in a Hall plasma with isotropic pressure is studied under assumption that the plasma [beta] is large.
Ruderman, M.S.
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Large-Order Asymptotics for Multiple-Pole Solitons of the Focusing Nonlinear Schrödinger Equation [PDF]
Journal of nonlinear science, 2018 We analyze the large-n behavior of soliton solutions of the integrable focusing nonlinear Schrödinger equation with associated spectral data consisting of a single pair of conjugate poles of order 2n.
Deniz Bilman, R. Buckingham
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Semiclassical stationary states for nonlinear Schr\"odinger equations under a strong external magnetic field [PDF]
, 2015 We construct solutions to the nonlinear magnetic Schr\"odinger equation $$ \left\{ \begin{aligned} - \varepsilon^2 \Delta_{A/\varepsilon^2} u + V u &= \lvert u\rvert^{p-2} u & &\text{in}\ \Omega,\\ u &= 0 & &\text{on}\ \partial\Omega, \end{aligned}
Di Cosmo, Jonathan +1 more
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On the solution of the space-time fractional cubic nonlinear Schrödinger equation
Results in Physics, 2018 The space–time fractional nonlinear Schrödinger equation is studied based on the modified Riemann–Liouville derivative. The fractional mapping expansion method is used to find analytical solution of this model.
E.A. Yousif +2 more
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Multiscale theory of nonlinear wavepacket propagation in a planar optical waveguide [PDF]
, 2002 In this paper, the multiscale expansion formalism is applied for the first time, to our knowledge, in nonlinear planar optical waveguides. This formalism permits us to describe the linear and nonlinear propagation for both transverse electric and ...
H. Leblond, V. Boucher, X. Nguyen-Phu
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Advanced Engineering Materials, EarlyView.This article provides an overview of recent advancements in bulk processing of rare‐earth‐free hard magnetic materials. It also addresses related simulation approaches at different scales. The research on rare‐earth‐free magnetic materials has increased significantly in recent years, driven by supply chain issues, environmental and social concerns, and
Daniel Scheiber, Andrea Bachmaier
wiley +1 more source
Scientific ReportsThis paper investigates a generalized form of the nonlinear Schrödinger equation characterized by a logarithmic nonlinearity. The nonlinear Schrödinger equation, a fundamental equation in nonlinear wave theory, is applied across various physical systems ...
Du’a Al-zaleq, Lewa’ Alzaleq
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