Results 41 to 50 of about 48,699 (224)
Journal of Nonlinear Mathematical Physics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mathematics, 2023 In this paper, the problems of estimating the parameters of partial differential equations from numerous observations in the vicinity of some reference points are considered.
Gurami Tsitsiashvili +2 more
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Trigonal curves and algebro-geometric solutions to soliton hierarchies
, 2016 Using linear combinations of Lax matrices of soliton hierarchies, we introduce trigonal curves by their characteristic equations, and determine Dubrovin type equations for zeros and poles of meromorphic functions defined as ratios of the Baker-Akhiezer ...
Ma, Wen-Xiu
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Elliptic solitons and Heun’s equation [PDF]
, 2002 We find a new class of algebraic geometric solutions of Heun's equation with the accessory parameter belonging to a hyperelliptic curve. Dependence of these solutions from the accessory parameter as well as their relation to Heun's polynomials is studied.
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The nonlinear Schroedinger equation: Solitons dynamics
Journal of Differential Equations, 2010 In this paper we investigate the dynamics of solitons occurring in the nonlinear Schroedinger equation when a parameter h->0. We prove that under suitable assumptions, the the soliton approximately follows the dynamics of a point particle, namely, the motion of its barycenter $q_h(t)$ satisfies the equation $ddot{q}_h(t)+\nabla V(q_h(t))=H_h(t ...
BENCI, VIERI +2 more
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Spectrally Tunable 2D Material‐Based Infrared Photodetectors for Intelligent Optoelectronics
Advanced Functional Materials, EarlyView.Intelligent optoelectronics through spectral engineering of 2D material‐based infrared photodetectors. Abstract The evolution of intelligent optoelectronic systems is driven by artificial intelligence (AI). However, their practical realization hinges on the ability to dynamically capture and process optical signals across a broad infrared (IR) spectrum.
Junheon Ha +18 more
wiley +1 more source
, 2009 We analyze a class of multicomponent nonlinear Schrodinger equations (MNLS) related to the symmetric BD.I-type symmetric spaces and their reductions. We briefly outline the direct and the inverse scattering method for the relevant Lax operators and the ...
Gerdjikov, V. S. +2 more
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Observation of Relativistic Domain Wall Motion in Amorphous Ferrimagnets
Advanced Functional Materials, EarlyView.Domain walls in ferrimagnets and antiferromagnets move as relativistic sine‐Gordon solitons, with the spin‐wave velocity setting their speed limit. Such relativistic domain‐wall motion is demonstrated in amorphous GdFeCo near angular momentum compensation, where current‐driven walls reach 90% of the 2 kms−1 spin‐wave speed, enabling ultrafast, device ...
Pietro Diona +3 more
wiley +1 more source
The new soliton solutions for long and short-wave interaction system
Journal of Ocean Engineering and Science, 2022 The goal of this paper is to discover modern soliton solutions to long and short-wave interaction system by procedures called extended rational sine-cosine and rational sinh-cosh methods.
Sayyed Masood Zekavatmand +4 more
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Generalised Fourier Transform and Perturbations to Soliton Equations [PDF]
, 2009 A brief survey of the theory of soliton perturbations is presented. The focus is on the usefulness of the so-called Generalised Fourier Transform (GFT).
Grahovski, Georgi G., Ivanov, Rossen I.
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