搜索结果: 1-8 共查到“非线性偏微分方程 N-solitons”相关记录8条 . 查询时间(0.078 秒)
Reflection of Channel-Guided Solitons at Junctions in Two-Dimensional Nonlinear Schroedinger Equation
Reflection of Channel-Guided Solitons Junctions Two-Dimensional Nonlinear Schroedinger Equation Pattern Formation and Solitons
2012/4/26
Solitons confined in channels are studied in the two-dimensional nonlinear Schr\"odinger equation. We study the dynamics of two channel-guided solitons near the junction where two channels are merged....
A refined empirical stability criterion for nonlinear Schroedinger solitons under spatiotemporal forcing
nonlinear Schroedinger solitons spatiotemporal
2011/7/6
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...
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...
Broad Band Solitons in a Periodic and Nonlinear Maxwell System
Periodic Nonlinear Maxwell System nonlocal equations geometrical optics
2011/7/6
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...
KP solitons and total positivity for the Grassmannian
KP solitons total positivity Grassmannian
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...
KP solitons and total positivity for the Grassmannian
KP solitons total positivity Grassmannian
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...
The Nonlinear Schroedinger Equation: Existence, Stability and Dynamics of Solitons
Soliton dynamics Nonlinear Schroedinger Equation
2011/2/28
In this paper we present some recent results concerning the existence,the stability and the dynamics of solitons occurring in the nonlinear Schroedinger equation when the parameter h → 0.
Effective dynamics for $N$-solitons of the Gross-Pitaevskii equation
Effective dynamics $N$-solitons Gross-Pitaevskii equation
2010/12/13
We consider several solitons moving in a slowly varying external eld. We show that the e ective dynamics obtained by restricting the full Hamiltonian to the nite dimensional manifold of N-solitons (...