Results 41 to 50 of about 14,785 (196)

Explicit Soliton Structure Formation for the Riemann Wave Equation and a Sensitive Demonstration

open access: yesFractal and Fractional, 2023
The motive of the study was to explore the nonlinear Riemann wave equation, which describes the tsunami and tidal waves in the sea and homogeneous and stationary media. This study establishes the framework for the analytical solutions to the Riemann wave
Sheikh Zain Majid   +4 more
doaj   +1 more source

Solitons and giants in matrix models [PDF]

open access: yes, 2006
We present a method for solving BPS equations obtained in the collective-field approach to matrix models. The method enables us to find BPS solutions and quantum excitations around these solutions in the one-matrix model, and in general for the Calogero ...
A. Agarwal   +23 more
core   +3 more sources

A soliton menagerie in AdS [PDF]

open access: yes, 2012
We explore the behaviour of charged scalar solitons in asymptotically global AdS4 spacetimes. This is motivated in part by attempting to identify under what circumstances such objects can become large relative to the AdS length scale. We demonstrate that
A Donos   +38 more
core   +1 more source

Solitons behavior of Sasa-Satsuma equation in birefringent fibers with Kerr law nonlinearity using extended F-expansion method

open access: yesAin Shams Engineering Journal
Optical soliton solutions in birefringent fibers and other analytic solutions for Sasa-Satsuma equation with Kerr law nonlinearity are investigated using extended F-expansion method.
Mohammed Borg   +3 more
doaj   +1 more source

New solitary waves and exact solutions for the fifth-order nonlinear wave equation using two integration techniques

open access: yesJournal of Ocean Engineering and Science, 2023
In this paper, we discussed the enhanced Kudryashov’s and general projective Riccati equations techniques for obtaining exact solutions to the fifth-order nonlinear water wave (FONLWWE) equation.
Ahmed H. Arnous   +3 more
doaj   +1 more source

Electric‐Current‐Assisted Nucleation of Zero‐Field Hopfion Rings

open access: yesAdvanced Materials, EarlyView.
This work reports a novel and efficient nucleation protocol for 3D localized topological magnetic solitons‐hopfion rings in chiral magnets using pulsed electric currents. By using Lorentz transmission electron microscopy and topological analysis, we report characteristic features and extraordinary stability of hopfion rings in zero or inverted external
Xiaowen Chen   +12 more
wiley   +1 more source

The Soliton Solutions and Long-Time Asymptotic Analysis for an Integrable Variable Coefficient Nonlocal Nonlinear Schrödinger Equation

open access: yesAdvances in Mathematical Physics, 2021
An integrable variable coefficient nonlocal nonlinear Schrödinger equation (NNLS) is studied; by employing the Hirota’s bilinear method, the bilinear form is obtained, and the N-soliton solutions are constructed.
Guiying Chen, Xiangpeng Xin, Feng Zhang
doaj   +1 more source

A scalar field instability of rotating and charged black holes in (4+1)-dimensional Anti-de Sitter space-time

open access: yes, 2012
We study the stability of static as well as of rotating and charged black holes in (4+1)-dimensional Anti-de Sitter space-time which possess spherical horizon topology.
A Sen   +56 more
core   +1 more source

A new class of nodal stationary states in 2D Heisenberg ferromagnet [PDF]

open access: yes, 2002
A new class of nodal topological excitations in a two-dimensional Heisenberg model is studied. The solutions correspond to a nodal singular point of the gradient field of the azimuthal angle. An analytical solution found for the isotropic case. An effect
Bostrem, I. G., Ovchinnikov, A. S.
core   +1 more source

On a singular perturbation in the linear soliton theory [PDF]

open access: yesAsymptotic Analysis, 1991
Initial-boundary value problems for the linearized Korteweg-de Vries equation with a small dispersion term are considered. Singularities of the corresponding families of the Green and Poisson operators are analysed as the small parameter vanishes. Asymptotic formulae for the eigenvalues and eigenfunctions of the corresponding singularly perturbed ...
Frank, L.S., Norde, H.W.
openaire   +2 more sources

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