Coupled spatial periodic waves and solitons in the photovoltaic photorefractive crystals

2020 ◽  
Vol 102 (3) ◽  
pp. 1733-1741 ◽  
Author(s):  
Chao-Qing Dai ◽  
Yue-Yue Wang
Keyword(s):  
Periodic Waves ◽  
Photorefractive Crystals

Self-Focusing in Pulsed and Continuous Regime in Photorefractive Crystals: KNbO 3 , LiNbO 3 , Sr x Ba 1 − x Nb 2 O 6

2003 ◽  
Vol 296 (1) ◽  
pp. 9-18
Author(s):  
C. Hesse ◽  
D. Wolfersberger ◽  
N. Fressengeas ◽  
G. Kugel
Keyword(s):  
Photorefractive Crystals ◽  
Self Focusing ◽  
Continuous Regime

Anisotropic Bragg diffraction in photorefractive crystals

1988 ◽  
Vol 78 (1) ◽  
pp. 51-60 ◽  
Author(s):  
Peter Gunter ◽  
Eugen Voit
Keyword(s):  
Bragg Diffraction ◽  
Photorefractive Crystals

Optical neural computers based on photorefractive crystals

1992 ◽  
Vol 22 (5) ◽  
pp. 384-399 ◽  
Author(s):  
Igor' M Bel'dyugin ◽  
M V Zolotarev ◽  
K A Sviridov
Keyword(s):  
Photorefractive Crystals

Quasi-periodic and non-periodic waves in (2+1) dimensions

2008 ◽  
Vol 47 (2) ◽  
pp. 221-225 ◽  
Author(s):  
C. L. Bai ◽  
H. J. Niu
Keyword(s):  
Periodic Waves

scholarly journals Bifurcation Phenomena of Nonlinear Waves in a Generalized Zakharov-Kuznetsov Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-14
Author(s):  
Yun Wu ◽  
Zhengrong Liu
Keyword(s):  
Solitary Waves ◽  
Nonlinear Waves ◽  
Blow Up ◽  
Periodic Waves ◽  
The Third ◽  
Bifurcation Phenomena ◽  
Kink Waves ◽  
Fourth Kind

We study the bifurcation phenomena of nonlinear waves described by a generalized Zakharov-Kuznetsov equationut+au2+bu4ux+γuxxx+δuxyy=0. We reveal four kinds of interesting bifurcation phenomena. The first kind is that the low-kink waves can be bifurcated from the symmetric solitary waves, the 1-blow-up waves, the tall-kink waves, and the antisymmetric solitary waves. The second kind is that the 1-blow-up waves can be bifurcated from the periodic-blow-up waves, the symmetric solitary waves, and the 2-blow-up waves. The third kind is that the periodic-blow-up waves can be bifurcated from the symmetric periodic waves. The fourth kind is that the tall-kink waves can be bifurcated from the symmetric periodic waves.

On periodic water-waves and their convergence to solitary waves in the long-wave limit

1981 ◽  
Vol 303 (1481) ◽  
pp. 633-669 ◽  
Keyword(s):  
Integral Equation ◽  
Solitary Waves ◽  
Water Waves ◽  
Periodic Problem ◽  
Existence Theory ◽  
Periodic Waves ◽  
Equation Formulation ◽  
Long Wave ◽  
Integral Equation Formulation ◽  
Wave Limit

A detailed discussion of Nekrasov’s approach to the steady water-wave problems leads to a new integral equation formulation of the periodic problem. This development allows the adaptation of the methods of Amick & Toland (1981) to show the convergence of periodic waves to solitary waves in the long-wave limit. In addition, it is shown how the classical integral equation formulation due to Nekrasov leads, via the Maximum Principle, to new results about qualitative features of periodic waves for which there has long been a global existence theory (Krasovskii 1961, Keady & Norbury 1978).

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