Results 21 to 30 of about 33,812 (321)
The main purpose of this paper is to learn N-soliton, M-lump, breather solutions and interaction solutions for a KdV equation with variable coeffificients.
Deniu Yang
doaj +1 more source
Soliton, breather, and rogue wave solutions for solving the nonlinear Schrödinger equation using a deep learning method with physical constraints [PDF]
The nonlinear Schrödinger equation is a classical integrable equation which contains plenty of significant properties and occurs in many physical areas.
Jun-Cai 俊才 Pu 蒲 +2 more
semanticscholar +1 more source
Bound Coherent Structures Propagating on the Free Surface of Deep Water
This article presents a study of bound periodically oscillating coherent structures arising on the free surface of deep water. Such structures resemble the well known bi-soliton solution of the nonlinear Schrödinger equation. The research was carried out
Dmitry Kachulin +2 more
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Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation
The aim of this article was to address the lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation with the aid of Hirota bilinear technique. This model concerns in a massive nematic liquid crystal director field.
A. Seadawy +4 more
semanticscholar +1 more source
The dynamics of two component coupled Airy beams is investigated. In the linear propagation regime a complete analytic solution describes breather like propagation of the two components featuring non-diffracting self-accelerating Airy behavior. The superposition of two beams with different input properties opens the possibility to design more complex ...
Driben, R., Konotop, V. V., Meier, T.
openaire +3 more sources
Collective influence of impurities on the dynamics of kinks of modified sine-Gordon equation [PDF]
We investigated numerically the dynamics of kinks of modified sine-Gordon equation in the model with localized spatial modulation of a periodic potential (or impurity). We considered the case of two identical impurities.
Evgeniy Grigorevich Ekomasov +1 more
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Discrete moving breather collisions in a Klein-Gordon chain of oscillators [PDF]
We study collision processes of moving breathers with the same frequency, traveling with opposite directions within a Klein-Gordon chain of oscillators. Two types of collisions have been analyzed: symmetric and non-symmetric, head-on collisions.
A. Alvarez +31 more
core +2 more sources
Breather lattice and its stabilization for the modified Korteweg-de Vries equation [PDF]
We obtain an exact solution for the breather lattice solution of the modified Korteweg-de Vries (MKdV) equation. Numerical simulation of the breather lattice demonstrates its instability due to the breather-breather interaction.
A. Mukaihira +27 more
core +3 more sources
Obstructive sleep apnea prevents the expected difference in craniofacial growth of boys and girls
OBJECTIVES: It was to compare cephalometric measures of mouth-breather boys and girls and with the cephalometric pattern observed in obstructive sleep apnea syndrome (OSAS) patients. METHODS: Craniofacial measurements of lateral cephalometric radiographs
Maria Ligia Juliano +6 more
doaj +1 more source
Stability of Quantum Breathers [PDF]
Using two methods we show that a quantized discrete breather in a 1-D lattice is stable. One method uses path integrals and compares correlations for a (linear) local mode with those of the quantum breather. The other takes a local mode as the zeroth order system relative to which numerical, cutoff-insensitive diagonalization of the Hamiltonian is ...
Schulman, L. S. +2 more
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