Results 41 to 50 of about 3,422,090 (230)

The dispersion relation of a dark soliton

open access: yesNew Journal of Physics, 2023
The energy-velocity relation of a dark soliton is usually derived by its exact solution, which has been used to explain the kinetic motion of the dark soliton widely in many-body physical systems.
Ling-Zheng Meng, Ning Mao, Li-Chen Zhao
doaj   +1 more source

The formation of solitary wave solutions and their propagation for Kuralay equation

open access: yesResults in Physics, 2023
In this paper, the main motive is to mathematical explore the Kuralay equation, which find applications in various fields such as ferromagnetic materials, nonlinear optics, and optical fibers. The objective of this study is to investigate different types
Waqas Ali Faridi   +5 more
doaj   +1 more source

Soliton solutions of M-theory on an orbifold [PDF]

open access: yesPhysics Letters B, 1998
19 pages, 1 figure, Latex, uses epsf ...
Lalak, Zygmunt   +2 more
openaire   +2 more sources

Self-pulsing dynamics in a cavity soliton laser [PDF]

open access: yes, 2010
The dynamics of a broad-area vertical-cavity surface-emitting laser (VCSEL) with frequency-selective feedback supporting bistable spatial solitons is analyzed experimentally and theoretically. The transient dynamics of a switch-on of a soliton induced by
Oppo, G. -L.   +4 more
core   +4 more sources

Solitone solutions complexifications of the Korteweg - de Vriz equation

open access: yesНаука. Инновации. Технологии, 2022
The Hirota method for construction of soliton solutions is applied to the complexification of the Korteweg-de Vries equation. To use the method, the complex equation is replaced by a system of two third-order equations into two real functions, which ...
Tatyana Valentinovna Redkina
doaj  

New soliton solutions of nonlinear Kudryashov's equation via Improved tan -expansion approach in optical Fiber

open access: yesKuwait Journal of Science, 2022
In this article, a newly introduced model nonlinear Kudryashov's equation with anti-cubic non-linearity is considered for extraction of soliton solutions.
Saima Arshed   +3 more
doaj   +1 more source

Analytical Method for Generalized Nonlinear Schrödinger Equation with Time-Varying Coefficients: Lax Representation, Riemann-Hilbert Problem Solutions

open access: yesMathematics, 2022
In this paper, a generalized nonlinear Schrödinger (gNLS) equation with time-varying coefficients is analytically studied using its Lax representation and the associated Riemann-Hilbert (RH) problem equipped with a symmetric scattering matrix in the ...
Bo Xu, Sheng Zhang
doaj   +1 more source

Soliton Solutions for Quasilinear Schrödinger Equations [PDF]

open access: yesJournal of Applied Mathematics, 2013
Summary: By using a change of variables, we get new equations, whose respective associated functionals are well defined in \(H^1(\mathbb R^N)\) and satisfy the geometric hypotheses of the mountain pass theorem. Using this fact, we obtain a nontrivial solution.
openaire   +3 more sources

Solving bi-directional soliton equations in the KP hierarchy by gauge transformation [PDF]

open access: yes, 2006
We present a systematic way to construct solutions of the (n = 5)-reduction of the BKP and CKP hierarchies from the general τ function τn+k of the KP hierarchy.
Cheng, Yi   +4 more
core   +1 more source

Zero rest mass soliton solutions [PDF]

open access: yesPhysica Scripta, 2019
Abstract In this paper, extended Klein-Gordon field systems will be introduced. Theoretically, it will be shown that for a special example of these systems, it is possible to have a single zero rest mass soliton solution, which is forced to move at the speed of light provided it is considered a non-deformed rigid object.
M Mohammadi, R Gheisari
openaire   +2 more sources

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