A Time Two-Mesh Compact Difference Method for the One-Dimensional Nonlinear Schrödinger Equation. [PDF]
Entropy (Basel), 2022 He S, Liu Y, Li H.
europepmc +1 more source
Computation of Time‐Resolved Nonlinear Electronic Spectra From Classical Trajectories
WIREs Computational Molecular Science, Volume 15, Issue 3, May/June 2025.Stimulated emission contribution to the two‐dimensional electronic spectrum of pyrazine at a waiting time of 60 fs as a function of the excitation and emission frequencies. ABSTRACT A variety of time‐resolved spectroscopic techniques employing femtosecond pump and probe pulses are nowadays widely used to unravel the fundamental mechanisms of ...
Maxim F. Gelin +3 more
wiley +1 more source
Soliton: A dispersion-less solution with existence and its types
Heliyon, 2022 A solitary wave is the dispersion-less solution of nonlinear evolutionary equations that travels at a constant speed without dissipating its energy. The purpose of this article is to provide insight into the discovery and history of solitons.
Geeta Arora, Richa Rani, Homan Emadifar
doaj
On the existence of dark solitons of the cubic nonlinear Schrodinger equation with periodic inhomogeneous nonlinearity [PDF]
arXiv, 2014 We provide a simple proof of the existence of dark solitons of the defocusing cubic nonlinear Schrodinger equation with periodic inhomogeneous nonlinearity. Moreover, our proof allows for a broader class of inhomogeneities and gives some new properties of the solutions.
arxiv
Neural networks for computing and denoising the continuous nonlinear Fourier spectrum in focusing nonlinear Schrödinger equation. [PDF]
Sci Rep, 2021 Sedov EV +7 more
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Quantum Algorithms for Quantum Molecular Systems: A Survey
WIREs Computational Molecular Science, Volume 15, Issue 3, May/June 2025.Quantum algorithms for quantum molecular systems: from molecular encoding, to Hamiltonian simulation, static properties, and quantum advantage. ABSTRACT Solving quantum molecular systems presents a significant challenge for classical computation. The advent of early fault‐tolerant quantum computing devices offers a promising avenue to address these ...
Yukun Zhang +6 more
wiley +1 more source
Solutions to nonlinear Schrodinger equations for special initial data
Electronic Journal of Differential Equations, 2015 This article concerns the solvability of the nonlinear Schrodinger equation with gauge invariant power nonlinear term in one space dimension. The well-posedness of this equation is known only for $H^s$ with $s\ge 0$.
Takeshi Wada
doaj
Multiple lump and rogue wave for time fractional resonant nonlinear Schrödinger equation under parabolic law with weak nonlocal nonlinearity. [PDF]
Opt Quantum Electron, 2022 Rizvi STR +4 more
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Discovering Dynamical Laws for Speech Gestures
Cognitive Science, Volume 49, Issue 5, May 2025.Abstract A fundamental challenge in the cognitive sciences is discovering the dynamics that govern behavior. Take the example of spoken language, which is characterized by a highly variable and complex set of physical movements that map onto the small set of cognitive units that comprise language.
Sam Kirkham
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The conservative Camassa–Holm flow with step‐like irregular initial data
Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.Abstract We extend the inverse spectral transform for the conservative Camassa–Holm flow on the line to a class of initial data that requires strong decay at one endpoint but only mild boundedness‐type conditions at the other endpoint. The latter condition appears to be close to optimal in a certain sense for the well‐posedness of the conservative ...
Jonathan Eckhardt, Aleksey Kostenko
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