Výsledky vyhledávání

Higher-order breathers as quasi-rogue waves on a periodic background

Autor: Omar A. Ashour, Siu A. Chin, Stanko N. Nikolić, Milivoj R. Belić

Publikováno v: Nonlinear Dynamics. 107:3819-3832

We investigate higher-order breathers of the cubic nonlinear Schr\"odinger equation on an elliptic background. We find that, beyond first-order, any arbitrarily constructed breather is a single-peaked solitary wave on a disordered background. These "

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5d753330d01786f836dadad0d0666b3
https://doi.org/10.1007/s11071-021-07172-x

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Multi-Elliptic Rogue Wave Clusters of the Nonlinear Schrodinger Equation on Different Backgrounds

Autor: Najdan B. Aleksić, Stanko N. Nikolić, Siu A. Chin, Milivoj R. Belic, Omar A. Ashour, Sarah Al Washahi

In this work we analyze the multi-elliptic rogue wave clusters as new solutions of the nonlinear Schr\"odinger equation (NLSE). Such structures are obtained on uniform backgrounds by using the Darboux transformation scheme of order $n$ with the first

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::97708fc1cef39a0a85bd02e809e5bd7d
https://doi.org/10.21203/rs.3.rs-1116823/v1

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The anatomy of Boris type solvers and the Lie operator formalism for deriving large time-step magnetic field integrators

Autor: Siu A. Chin, Durward Cator

This work gives a Lie operator derivation of various Boris solvers via a detailed study of trajectory errors in a constant magnetic field. These errors in the gyrocenter location and the gyroradius are the foundational basis for why Boris solvers exi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::550d324953e8091de0936c35e9e5cb92
http://arxiv.org/abs/2109.01901

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The hardwall method of solving the radial Schrödinger equation and unmasking hidden symmetries

Autor: John Massey, Siu A. Chin

Publikováno v: American Journal of Physics. 87:682-686

Solving for the bound state eigenvalues of the Schrodinger equation is a tedious iterative process using the conventional shooting or matching method. In this paper, we bypass a eigenvalue's dependence on the eigenfunction by trying all eigenvalues t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8bd09e4737d40b558019f07a0d2d0a5b
https://doi.org/10.1119/1.5111839

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Breathers, solitons and rogue waves of the quintic nonlinear Schrödinger equation on various backgrounds

Autor: Siu A. Chin, Stanko N. Nikolić, Omar A. Ashour, Milivoj R. Belic, Najdan B. Aleksić

Publikováno v: Nonlinear Dynamics. 95:2855-2865

We investigate the generation of breathers, solitons, and rogue waves of the quintic nonlinear Schrodinger equation (QNLSE) on uniform and elliptical backgrounds. The QNLSE is the general nonlinear Schrodinger equation that includes all terms up to t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f15480062e05985ff3f9e46493604c3a
https://doi.org/10.1007/s11071-018-4726-8

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A fundamental derivation of two Boris solvers and the Ge-Marsden theorem

Autor: Siu A. Chin

For a separable Hamiltonian, there are two fundamental, time-symmetric, second-order velocity-Verlet (VV) and position-Verlet (PV) symplectic integrators. Similarly, there are two VV and PV version of exact energy conserving algorithms for solving ma

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2db42765b466b406d168855f03550edb

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