Results 271 to 280 of about 33,812 (321)
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Waves in Random and Complex Media, 2021
Optical fibers are used in the communications, biological sensors and chemical sensors. We investigate a variable-coefficient modified Hirota equation for the amplification or absorption of pulses propagating in an inhomogeneous optical fiber.
Dan-Yu Yang +5 more
semanticscholar +1 more source
Optical fibers are used in the communications, biological sensors and chemical sensors. We investigate a variable-coefficient modified Hirota equation for the amplification or absorption of pulses propagating in an inhomogeneous optical fiber.
Dan-Yu Yang +5 more
semanticscholar +1 more source
Physica Scripta, 2021
A (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in fluid dynam-ics and plasma physics is hereby investigated. Via the Hirota method, bilinear Bäcklund transformation are obtained, along with two types of the analytic solutions.
Yuan Shen +3 more
semanticscholar +1 more source
A (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in fluid dynam-ics and plasma physics is hereby investigated. Via the Hirota method, bilinear Bäcklund transformation are obtained, along with two types of the analytic solutions.
Yuan Shen +3 more
semanticscholar +1 more source
, 2021
In this paper, the investigation is conducted on a (2 + 1)-dimensional extended Boiti–Leon–Manna–Pempinelli equation for an incompressible fluid. Via the Riemann theta function, periodic-wave solutions are derived, and breather-wave solutions are ...
Yuan Shen +4 more
semanticscholar +1 more source
In this paper, the investigation is conducted on a (2 + 1)-dimensional extended Boiti–Leon–Manna–Pempinelli equation for an incompressible fluid. Via the Riemann theta function, periodic-wave solutions are derived, and breather-wave solutions are ...
Yuan Shen +4 more
semanticscholar +1 more source
Subharmonic Entrainment Breather Solitons in Ultrafast Lasers.
Physical Review Letters, 2020We study theoretically and experimentally the subharmonic entrainment (SHE) breather soliton in mode-locked lasers for the first time, in which the ratio of the breather period to the round-trip time is an integer. We build a non-Hermitian degeneracy map
T. Xian +3 more
semanticscholar +1 more source
Breathers and Q-Breathers: Two Sides of the Same Coin
SIAM Journal on Applied Dynamical Systems, 2012We construct, and approximate from the continuum, two-parameter families of time periodic, small amplitude, localized solutions, for both the focusing and defocusing finite discrete nonlinear Schrodinger models, with Dirichlet boundary conditions. Within such families, depending on the parameters, both real space localization (breathers) and Fourier ...
T. Penati, S. Paleari
openaire +1 more source
Applied Mathematics and Computation, 2020
Investigation is made on a vector nonlinear Schrodinger equation in the anomalous dispersion regime describing the optical pulses in a birefringent optical fiber or in a wavelength division multiplexed system. We derive the analytical breather solutions.
H. Yin, B. Tian, Xin-Chao Zhao
semanticscholar +1 more source
Investigation is made on a vector nonlinear Schrodinger equation in the anomalous dispersion regime describing the optical pulses in a birefringent optical fiber or in a wavelength division multiplexed system. We derive the analytical breather solutions.
H. Yin, B. Tian, Xin-Chao Zhao
semanticscholar +1 more source
, 2021
Based on the matrix Riemann-Hilbert problem we present the inverse scattering transform for the focusing nonlinear Schrodinger (NLS) equation with nonzero boundary conditions (NZBCs) at infinity and triple zeros of analytical scattering coefficients.
Weifang Weng, Zhenya Yan
semanticscholar +1 more source
Based on the matrix Riemann-Hilbert problem we present the inverse scattering transform for the focusing nonlinear Schrodinger (NLS) equation with nonzero boundary conditions (NZBCs) at infinity and triple zeros of analytical scattering coefficients.
Weifang Weng, Zhenya Yan
semanticscholar +1 more source
, 2020
Under investigation in this paper is the (2+1)-dimensional generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt system, which can be used to describe certain situations in fluid mechanics, ocean dynamics and plasma physics.
Gao-Fu Deng +3 more
semanticscholar +1 more source
Under investigation in this paper is the (2+1)-dimensional generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt system, which can be used to describe certain situations in fluid mechanics, ocean dynamics and plasma physics.
Gao-Fu Deng +3 more
semanticscholar +1 more source
Soliton-breather reaction pathways
Physical Review E, 1999We use a collective coordinate approach to investigate corpuscular properties of breathers in nonlinear lattice systems. We calculate the breather internal energy and inertial mass and use them to analyze the reaction pathways of breathers with kinks that are preformed in the lattice.
P, Maniadis +3 more
openaire +2 more sources