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In addition, the continuous dependence of the solution of this equation on the linear dispersive coefficient contained in the equation is obtained.


It is demonstrated experimentally that the pulse is compressed to a duration of ～30 fs due to the compensation of ionizationinduced selfphase modulation in a linear dispersive element at the capillary output.


Compacton and periodic wave solutions of the nonlinear dispersive ZakharovKuznetsov equation


This paper deals with the apparent superluminal propagation of electromagnetic pulses in a linear dispersive medium.


The concept of energy velocity for linear dispersive waves is usually given for a normal mode solution of the system as the ratio between the mean energy flux and the mean energy density.

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It is applicable to a linear onedimensional heat conduction system controlled by nonlinear temperature feedback to the boundary action.


A general approach is developed for integrating an invertible dynamical system defined by the composition of two involutions, i.e., a nonlinear one which is a standard Cremona transformation, and a linear one.


Loop amplitudes where intermediate fermions and scalar bosons have commensurate masses may be quite large since the quadratic suppression factor reduces to a linear one in this case.


Further, it is proved that the frictional power rate functional is a convex functional and the tensional stress power rate functional is a linear one.


The comparison between the nonlinear stability criterion and the linear one is made.

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The propagation of unsteady waves above a flat inclined floor within the framework of a linear dispersion model was first studied in [1].


The new terms of this equation describe the thirdorder linear dispersion effect and the nonlinearity dispersion effects.


The interaction of twodimensional quasiparticles characterized by a linear dispersion E = ±up (graphene) with impurity potentials is studied.


In crystals with bipolar conduction, there are two modes of traprecharging waves with a linear dispersion law.


The nonlinear interaction of a relativistic electron beam with a plasma is investigated numerically on the basis of the extended notions of the physical quantities that enter the linear dispersion relation.

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 A model has been developed to describe wave transformation in areas of shallow water using the irrationality of the wavenumber vector and the energy conservative equation. The Battjes relation is used in the mathematical model to solve wave refraction and diffraction. The model is tested against laboratory measurements for the case of submerged circular islands on a slope, where both refraction and diffraction are equally significant. An approximate representation of nonlinear effect is also included by employing... A model has been developed to describe wave transformation in areas of shallow water using the irrationality of the wavenumber vector and the energy conservative equation. The Battjes relation is used in the mathematical model to solve wave refraction and diffraction. The model is tested against laboratory measurements for the case of submerged circular islands on a slope, where both refraction and diffraction are equally significant. An approximate representation of nonlinear effect is also included by employing dispersion relation. The computed results show that the nonlinear effect in shallow water is important.  本文采用波数矢量无旋和波能守恒方程建立了一个考虑非线性作用的浅水水波变形数值模型，模型中采用Battjes关系与波数矢量无旋，波能量守恒方程一起来求解波浪在浅水中变形的波浪要素，在波能守恒方程中考虑了底摩擦的影响。利用本文提出的数值模型对一个斜坡浅滩水域波浪折射绕射现象进行了验证，验证计算中用一个非线性经验弥散关系近似浅水水波变形的非线性效应并与用线性弥散关系的计算结果进行了比较，结果说明使用非线性弥散关系比使用线性弥散关系的结果与试验结果更加吻合，证明在浅水水域波浪的非线性作用的影响是不容忽视的。  Some common algorithms of adaptive filtering are optimized here,and a linear dispersive channel is studied with them.we can get some ideas for its application to project.  通过优化自适应滤波的几种常用算法 ,研究了线性弥散信道 ,并为其工程实现提供了理论依据  The dispersion process in heterogeneous porous media is distance_dependent, which results from multi_scaling property of heterogeneous structure. An analytical model describing the dispersion with an exponential dispersion function is build, which is transformed into ODE problem with variable coefficients, and obtained analytical solution for two type boundary conditions using hypergeometric function and inversion technique. Acoording to the analytical solution and computing results the difference between the... The dispersion process in heterogeneous porous media is distance_dependent, which results from multi_scaling property of heterogeneous structure. An analytical model describing the dispersion with an exponential dispersion function is build, which is transformed into ODE problem with variable coefficients, and obtained analytical solution for two type boundary conditions using hypergeometric function and inversion technique. Acoording to the analytical solution and computing results the difference between the exponential dispersion and constant dispersion process is analyzed  对具有指数型弥散系数的弥散过程建立了数学模型 ,应用积分变换把变系数的偏微分方程变为变系数的常微分方程 ,应用超几何函数方法和反演技术得到了两类边界条件下的解析解· 利用解析解的表达式和计算结果 ,分析了指数型弥散过程和经典线性弥散过程的差异   << 更多相关文摘 
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