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Dissipative behavior of some fully non-linear KdV-type equations
KdV-type equations Finite-difference methods Nonlinear dynamics
2015/10/8
The KdV equation can be considered as a special case of the general equationutCf .u/x−g.uxx/x D 0;> 0;wheref is
non-linear andg is linear, namelyf .u/ D u2=2 andg.v/ D v. As the parameter t...
Consider a point mass falling vertically on an infinitely heavy
horizontal plate which oscillates periodically with period 2π in the vertical direction
and interacts with the particle by the l...
Analysis of Belief Propagation for Non-Linear Problems: The Example of CDMA (or: How to Prove Tanaka’s Formula)
Binary signal and white gaussian noise spread sequence scheme of linear time
2015/8/21
We consider the CDMA (code-division multipleaccess) multi-user detection problem for binary signals and additive white gaussian noise. We propose a spreading sequences scheme based on random sparse si...
Solution for a non linear Schrödinger equation via Hopf-Cole transformation
non linear Schrö dinger equation Hopf-Cole transformation
2010/11/26
In this short letter we show that the one dimensional non linear Schr¨odinger equation(NLS)can be solved by a Hopf-Cole transformation which converts it to the Burgers equation in turbulence.
Polynomial differential equations with piecwise linear coefficients
Polynomial differential equations Multiplicity Center
2010/12/14
Cubic and quartic non-autonomous differential equations with continuous piecewise linear coefficients are considered. The main concern is to find the maximum possible multiplicity of periodic solution...
A new formula for some linear stochastic equations with applications
Linear stochastic equation growth collapse process risk process
2010/12/8
We give a representation of the solution for a stochastic linear equation of the form Xt = Yt + R(0,t]Xs− dZs where Z is a c`adl`ag semimartingale and Y is a c`adl`ag adapted process with bounde...
Long Memory in a Linear Stochastic Volterra Differential Equation
Long Memory Linear Stochastic Volterra Differential Equation
2010/12/1
In this paper we consider a linear stochastic Volterra equation which has a stationary solution. We show that when the kernel of the fundamental solution is regularly varying at infinity with a log-co...
On the effect of random inhomogeneities in Kerr-media modelled by non-linear Schrodinger equation
Kerr-media modelled non-linear Schrodinger equation
2010/4/6
We consider propagation of optical pulses under the interplay of dispersion and Kerr non-linearity in optical fibres with impurities distributed at random uniformly on the fibre. By using a model base...
We discuss the complex dynamics of a non-linear random networks model, as a function of the connectivity k between the elements of the network. We show that this class of networks exhibit an order-cha...
期刊信息
篇名
A result for the convergence to the zero-sequence of the solutions of certain linear differential equation
语种
英文
撰写或编译
撰写
作者
Cheng Tao,Chen Zong-Xuan
第一作者单位
复旦大学, 江西师大
刊物名称
Complex Variables
页...