Results 1 to 10 of about 1,529 (58)

Spatially Extended Relativistic Particles Out of Traveling Front Solutions of Sine-Gordon Equation in (1+2) Dimensions. [PDF]

open access: yesPLoS ONE, 2016
Slower-than-light multi-front solutions of the Sine-Gordon in (1+2) dimensions, constructed through the Hirota algorithm, are mapped onto spatially localized structures, which emulate free, spatially extended, massive relativistic particles.
Yair Zarmi
doaj   +2 more sources

Computational and numerical simulations of nonlinear fractional Ostrovsky equation

open access: yesAlexandria Engineering Journal, 2022
This article investigates the accuracy of the obtained analytical solutions of the nonlinear fractional Ostrovsky (NLFO.) equation. The researched solutions are obtained by exploiting the well-known generalized Tanh–function (GTF.) method with the ...
Mohamed Omri   +4 more
doaj   +1 more source

Optical vortices in dispersive nonlinear Kerr type media [PDF]

open access: yes, 2003
The applied method of slowly varying amplitudes of the electrical and magnet vector fields give us the possibility to reduce the nonlinear vector integro-differential wave equation to the amplitude vector nonlinear differential equations.
Kovachev, Lubomir M.
core   +4 more sources

Comment on "Soliton ratchets induced by excitation of internal modes" [PDF]

open access: yes, 2004
Very recently Willis et al. [Phys. Rev. E {\bf 69}, 056612 (2004)] have used a collective variable theory to explain the appearance of a nonzero energy current in an ac driven, damped sine-Gordon equation.
Bernardo Sánchez-Rey   +3 more
core   +2 more sources

Nonlinear management of the angular momentum of soliton clusters [PDF]

open access: yes, 2006
We demonstrate an original approach to acquire nonlinear control over the angular momentum of a cluster of solitary waves. Our model, derived from a general description of nonlinear energy propagation in dispersive media, shows that the cluster angular ...
A. Bishop   +17 more
core   +2 more sources

Integrability, exact solutions and nonlinear dynamics of a nonisospectral integral-differential system

open access: yesOpen Physics, 2019
The investigations of integrability, exact solutions and dynamics of nonlinear partial differential equations (PDEs) are vital issues in nonlinear mathematical physics.
Xu Bo, Zhang Sheng
doaj   +1 more source

On combined optical solitons of the one-dimensional Schrödinger’s equation with time dependent coefficients

open access: yesOpen Physics, 2016
This paper integrates dispersive optical solitons in special optical metamaterials with a time dependent coefficient. We obtained some optical solitons of the aforementioned equation.
Kilic Bulent   +2 more
doaj   +1 more source

Getting through to a qubit by magnetic solitons

open access: yesNew Journal of Physics, 2015
We propose a method for acting on the spin state of a spin- $\frac{1}{2}$ localized particle, or qubit , by means of a magnetic signal effectively generated by the nearby transit of a magnetic soliton, there conveyed through a transmission line. We first
Alessandro Cuccoli   +3 more
doaj   +1 more source

Reply to Comment on "Existence of Internal Modes of sine-Gordon Kinks" [PDF]

open access: yes, 2006
In this reply to the comment by C. R. Willis, we show, by quoting his own statements, that the simulations reported in his original work with Boesch [Phys. Rev.
Mertens, Franz G.   +2 more
core   +5 more sources

Dipolar dark solitons

open access: yesNew Journal of Physics, 2015
We numerically generate and then study the basic properties of dark soliton-like excitations in a dipolar gas confined in a quasi one-dimensional trap. These excitations, although very similar to dark solitons in a gas with contact interaction, interact ...
Krzysztof Pawłowski   +1 more
doaj   +1 more source

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