搜索结果: 1-9 共查到“非线性偏微分方程 waves”相关记录9条 . 查询时间(0.187 秒)
Existence, Stability, and Dynamics of Solitary Waves in Nonlinear Schroedinger Models with Periodic Potentials
Non-square lattices, Nonlinear waves Photonic lattices
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2014/12/8
The focus of this dissertation is the existence, stability, and resulting dynamical evolution of localized stationary solutions to Nonlinear Schr¨odinger (NLS) equations with periodic confining potent...
Periodic Travelling Waves in Dimer Granular Chains
Periodic Travelling Waves Dimer Granular Chains Pattern Formation and Solitons
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2012/4/26
We study bifurcations of periodic travelling waves in granular dimer chains from the anti-continuum limit, when the mass ratio between the light and heavy beads is zero. We show that every limiting pe...
Spontaneous symmetry breaking of photonic and matter waves in two-dimensional pseudopotentials
Spontaneous symmetry breaking photonic matter waves two-dimensional pseudopotentials
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2011/7/6
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 ...
Asymptotic stability of small solitary waves for nonlinear Schrödinger equations with electromagnetic potential in $ \mathbb{R}^3$
Asymptotic stability of small solitary waves nonlinear Schrö dinger equations electromagnetic potential $ \mathbb{R}^3$
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2011/1/17
We consider the nonlinear magnetic Schr¨odinger equation for u : R3 × R → C,iut = (i∇ + A)2u + V u + g(u), u(x, 0) = u0(x),where A : R3 → R3 is the magnetic potential, V : R3 → R is the electric...
Transverse instability for periodic waves of KP-I and Schrödinger equations
transverse instability periodic traveling waves KP-I equation Schr¨odinger equation
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2011/1/21
We consider the quadratic and cubic KP - I and NLS models in 1+2 dimensions with periodic boundary conditions. We show that the spatially periodic travelling waves (with period
K) in the form u(t, x,...
Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations
Nonlinear instability linearly unstable standing waves nonlinear Schrö dinger equations
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2010/12/13
We study the instability of standing waves for nonlinear Schr¨odinger equations. Under a general assumption on nonlinearity, we prove that linear instability implies orbital instability in any dimensi...
Exact internal waves of a Boussinesq system
internal waves Boussinesq system
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2010/4/1
We consider a Boussinesq system describing one-dimensional internal waves which develop at the boundary between two immiscible fluids, and we restrict to its traveling waves. The method which yields e...
Solitary waves in coupled nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities
Solitary waves inhomogeneous nonlinearities nonlinear Schrodinger equations
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2010/4/1
Using Lie group theory we construct explicit solitary wave solutions of coupled nonlinear Schrodinger systems with spatially inhomogeneous nonlinearities. We present the general theory, use it to cons...
Convergence to Diffusion Waves for Nonlinear Evolution Equations with Ellipticity and Damping, and with Different End States
evolution equations diffusion waves decay rate energy method a priori estimates
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2007/12/11
In this paper, we consider the global existence and the asymptotic behavior of solutions to the Cauchy problem for the following nonlinear evolution equations with ellipticity and dissipative effects:...