Coupled wave equations for nonlinear frequency conversion
Nonlinear frequency conversion of a continuous wave, laser diode pumped Nd:YLF laser
... intracavity frequency-doubling have been carried out in the ...intracavity frequency-doubling process have also been discussed in ...the frequency- doubled laser in section § ...These ...
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Global nonexistence of solutions for nonlinear coupled viscoelastic wave equations with damping and source terms
... Abstract In this paper, we are concerned with a nonlinear coupled viscoelastic wave equations with initial-boundary value conditions and nonlinear damping and source terms. Under ...
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Nonlinear frequency conversion in isotropic semiconductor waveguides
... 6.3.2 Experimental set-up The experimental apparatus is illustrated in Fig. 6.7. The OPO pump source had the same operational characteristics as described in section 5.4.1: the system delivered near-transform-limited ...
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Powers scaling and nonlinear frequency conversion of single frequency lasers based
... the wave front distortions introduced by non-parabolic aberrations in the generated thermal lens ...has wave fronts with a relatively large radius of curvature, because of this, any relative deviation in ...
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Blow up of positive initial-energy solutions for coupled nonlinear wave equations with degenerate damping and source terms
... 2. Agre, K, Rammaha, MA: Systems of nonlinear wave equations with damping and source terms. Differ. Integral Equ. 19, 1235-1270 (2006) 3. Alves, CO, Cavalcanti, MM Domingos Cavalcanti, VN, Rammaha, ...
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Reduced magnetohydrodynamic equations with coupled Alfvén and sound wave dynamics
... tralow frequency electromagnetic power flows from high- altitude magnetospheric dynamos to low-altitude auroral re- gions when the transverse length scale of the electromagnetic perturbations is sufficiently ...
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PT-symmetry breaking in complex nonlinear wave equations and their deformations
... E-mail: [email protected], [email protected], [email protected] Abstract: We investigate complex versions of the Korteweg-deVries equations and an Ito type nonlinear system with two ...
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1. Introduction In this paper, we study solitary wave solutions of time-dependent N coupled nonlinear Schrödinger equations given by
... From physical experiment(cf. [23]), two dimensional photorefractive screening solitons and a two dimensional self-trapped beam were observed. It is natural to believe that there are two dimensional N-component(N ≥ 2) ...
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ANALYTICAL SOLUTIONS OF COUPLED NONLINEAR SCHRODINGER EQUATIONS FOR TWO NON LINEARLY INTERACTING STOKES WAVE TRAINS OVER INFINITE DEPTH
... two coupled nonlinear Schrodinger equations of 3rd order occurring from the oblique inter- action of two capillary gravity wave trains in the case of crossing sea states in deep water is the ...
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New Exact Traveling Wave Solutions for Some Coupled BBM Equations
... Method, Coupled BBM Equation 1. Introduction The study of the traveling wave solutions for nonlinear PDEs plays an important role in the study of nonlinear physical ...physics equations ...
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General decay for a system of nonlinear viscoelastic wave equations with weak damping
... Abstract In this paper, we are concerned with a system of nonlinear viscoelastic wave equations with initial and Dirichlet boundary conditions in R n (n = 1, 2, 3). Under suitable assumptions, we ...
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Modulational instability of bright solitary waves in incoherently coupled nonlinear Schrödinger equations
... the usual snake MI throughout the region of soliton ex- istence. Note, that because of this dominance, physical mechanisms responsible for the relative strength of neck and snake instabilities remain to be understood. ...
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II Nonlinear wave equations 2.1 Introduction
... • The wave of translation (or solitary wave) observed by John Scott Russell is described by a nonlinear wave.. equation known as the Korteweg-deVries (KdV) equation.[r] ...
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Computational Methods for Three Coupled Nonlinear Schrödinger Equations
... M. S. Ismail, S. H. Alaseri Department of Math, King Abdulaziz University, Jeddah, Kingdom of Saudi Arabia Abstract In this work, we will derive numerical schemes for solving 3-coupled nonlinear Schrödinger ...
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Coupled fixed point results for nonlinear integral equations
... Integral equations; Abstract In this paper, we prove some coupled coincidence point theorems for such nonlinear contraction mappings having a mixed monotone property in partially ordered metric ...
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Nonlinear frequency conversion in quasi phase matched materials
... ● Allows complex grating patterns fan-out gratings. different gratings on same wafer tandem gratings[r] ...
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Nonlinear frequency conversion in quasi phase matched materials
... ● Allows complex grating patterns fan-out gratings. different gratings on same wafer tandem gratings[r] ...
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Invariant measures for stochastic nonlinear beam and wave equations
... In this paper, we aim at showing existence of an invariant (probability) measure for a stochastic extensible beam equation and for damped stochastic wave equations with polynomial nonlinearities (both on R ...
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On the existence of solutions of strongly damped nonlinear wave equations
... Ikehata, On global solutions and energy decay for the wave equations of Kirchhoff type with nonlinear damping terms , J. Yamada, On global solutions of some degenerate quasilinear hyper- [r] ...
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Solvability of a Nonlinear Coupled System of n Fractional Differential Equations
... 2 UMAB University of Mostaganem LPAM, Faculty SEI, UMAB University of Mostaganem, Algeria Abstract In this paper, we study a nonlinear coupled system of n−fractional dif- ferential equations. ...
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