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Physical Review E, 2018
The simplest Klein-Gordon (KG) breather is a compacton on a string subject to the force of gravity in a frictionless V-shaped trough. Its dynamics, spectrum, and energy are discussed and it is compared to sine-Gordon breathers. A generalization of this problem consists of a charged string subject to the electrostatic force of two semi-infinite coplanar
Ronald J, Forni, Richard C, Shockley
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The simplest Klein-Gordon (KG) breather is a compacton on a string subject to the force of gravity in a frictionless V-shaped trough. Its dynamics, spectrum, and energy are discussed and it is compared to sine-Gordon breathers. A generalization of this problem consists of a charged string subject to the electrostatic force of two semi-infinite coplanar
Ronald J, Forni, Richard C, Shockley
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Optics Communications, 2015
Abstract In this paper, we have investigated coupled propagation of two coaxially co-propagating and mutually incoherent bright beams in Kerr type nonlinear media, including formation of rhythmic breather pairs. We have proposed existence lines for these rhythmic breather pairs.
Ram Krishna Sarkar, Surya Mallick
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Abstract In this paper, we have investigated coupled propagation of two coaxially co-propagating and mutually incoherent bright beams in Kerr type nonlinear media, including formation of rhythmic breather pairs. We have proposed existence lines for these rhythmic breather pairs.
Ram Krishna Sarkar, Surya Mallick
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Physical Review E, 2002
In this communication we will consider the potential of some general classes of nonlinear lattice models to support bright discrete compact breather solutions (compactlets). We analyze the conditions for which such solutions are possible and classify the models as belonging in three general categories: a class with no compact breather solutions, one ...
P G, Kevrekidis, V V, Konotop
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In this communication we will consider the potential of some general classes of nonlinear lattice models to support bright discrete compact breather solutions (compactlets). We analyze the conditions for which such solutions are possible and classify the models as belonging in three general categories: a class with no compact breather solutions, one ...
P G, Kevrekidis, V V, Konotop
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International Journal of Modern Physics B, 2009
Breather is an elementary excitation regarded as a bound state of a fluxon and an antifluxon in a long Josephson junction. In quantum-mechanical regime, the breather energy is quantized so that the breather can be considered as an artificial moving atom.
Fujii, Toshiyuki +3 more
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Breather is an elementary excitation regarded as a bound state of a fluxon and an antifluxon in a long Josephson junction. In quantum-mechanical regime, the breather energy is quantized so that the breather can be considered as an artificial moving atom.
Fujii, Toshiyuki +3 more
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Pattern Selection for Two Breathers
SIAM Journal on Applied Mathematics, 1994The authors are concerned with the singular perturbation problem \((\varepsilon\to 0)\) of the reaction diffusion system \[ \varepsilon\tau u_ t= \varepsilon^ 2 u_{xx}+ f(u,v), \quad v_ t= v_{xx}+ g(u,v) \qquad \text{for } (t,x)\in (0,\infty)\times (0,\ell), \] where the nonlinearity is of the bistable type.
Tsutomu Ikeda, Yasumasa Nishiura
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Chaos: An Interdisciplinary Journal of Nonlinear Science, 2003
In this paper I review our experiments on visualization of discrete breathers (intrinsic localized modes) in nonlinear lattices made of Josephson junctions. Properties of Josephson junctions and arrays made of such junctions are discussed in the Introduction.
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In this paper I review our experiments on visualization of discrete breathers (intrinsic localized modes) in nonlinear lattices made of Josephson junctions. Properties of Josephson junctions and arrays made of such junctions are discussed in the Introduction.
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Optics Communications, 1980
Abstract The inverse scattering technique is used to show that initial zero area pulses of odd symmetry with respect to time result in generating solitons of the breather type only, when they propagate in coherent absorbing media.
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Abstract The inverse scattering technique is used to show that initial zero area pulses of odd symmetry with respect to time result in generating solitons of the breather type only, when they propagate in coherent absorbing media.
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Linear Instability of Breathers for the Focusing Nonlinear Schrödinger Equation
Journal of Nonlinear Science, 2022Mariana Haragus +2 more
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