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在非自治拟线性双曲方程混合初边值问题半整体$C^2$解存在唯一性的理论基础,,本文主要解决一类具有两个非零异号特征值,且具一般非线性边界条件的非自治拟线性双曲方程的精确边界能观性,并将此应用到边界条件中未知函数没有耦合关系,但方程组本身具有某种耦合关系的一阶非自治拟线性双曲型方程组混合初边值问题的单侧精确边界能观性。
在在非自治拟线性双曲方程混合初边值问题半整体C2解存在唯一性的基础上,本文主要解决了具有两个非零异号特征值,且具有一般非线性边界条件的非自治拟线性双曲方程的精确边界能控性,并进一步讨论了一类边界条件中未知函数没有耦合关系,但方程组本身具有某种适当耦合关系的一阶非自治的拟线性双曲型方程组的精确边界能控性.
We investigate the dynamics of travelling oscillating solitons of the cubic NLS equation under an external spatiotemporal forcing of the form $f(x,t) = a \exp[iK(t)x]$. For the case of time-independen...
Heath-bath effects in the dynamics of atom + cavity system are studied. The temperature effects are explored using thermofield dynamics formalism. It is found that the dynamics of the system is sensit...
We show theoretically that the photoionization process in a hollow-core photonic crystal fiber filled with a Raman-inactive noble gas leads to a constant acceleration of solitons in the time domain wi...
Gravipulsons     Gravipulsons  oscillating field        font style='font-size:12px;'> 2011/7/7
We search for self-gravitating oscillating field lumps (pulsons) in the scalar model with logarithmic potential. With the use of a Krylov-Bogoliubov-type asymptotic expansion in the gravitational cons...
We introduce the two-dimensional Gross-Pitaevskii/nonlinear-Schrodinger (GP/NLS) equation with the self-focusing nonlinearity confined to two identical circles, separated or overlapped. The model can ...
We study the ratchet effect of a damped relativistic particle driven by both asymmetric temporal bi-harmonic and time-periodic piecewise constant forces. This system can be formally solved for any ex...
Surface solitons in trilete lattices     soliton complex  spontaneous symmetry breaking       font style='font-size:12px;'> 2011/7/6
Fundamental solitons pinned to the interface between three semi-infinite one-dimensional nonlinear dynamical chains, coupled at a single site, are investigated. The light propagation in the respective...
Lanchester Theory and the Fate of Armed Revolts     Lanchester Theory  Fate  Armed Revolts       font style='font-size:12px;'> 2011/7/7
Major revolts have recently erupted in parts of the Middle East with substantial international repercussions. Predicting, coping with and winning those revolts have become a grave problem for many reg...
A new type of traveling interface modulations has been observed in the NH$_3$ + O$_2$ reaction on a Rh(110) surface. A model is set up which reproduces the effect, which is attributed to diffusional m...
We consider the one-dimensional Maxwell equations with low contrast periodic linear refractive index and weak Kerr nonlinearity. In this context, wave packet initial conditions with a single carrier f...
The modulational instability and discrete matter wave solitons in dipolar BEC, loaded into a deep optical lattice, are investigated analytically and numerically. The process of modulational instabilit...
Studies of Jet Quenching in PbPb collisions at CMS     Jet Quenching  PbPb collisions  CMS       font style='font-size:12px;'> 2011/7/20
Jets are an important tool to probe the hot, dense medium produced in ultra-relativistic heavy-ion collisions. At the collision energies available at the Large Hadron Collider (LHC), there is copious ...
KP solitons and total positivity for the Grassmannian     KP solitons  total positivity  Grassmannian       font style='font-size:12px;'> 2011/7/6
Soliton solutions of the KP equation have been studied since 1970, when Kadomtsev and Petviashvili proposed a two-dimensional dispersive wave equation now known as the KP equation. It is well-known th...

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