Nonlinear coupled mode dynamics in hyperbolic and parabolic periodically structured spatially extended systems
Nonlinear coupled mode dynamics in hyperbolic and parabolic periodically structured spatially extended systems
复制标题
双曲和抛物线周期性结构空间扩展系统中的非线性耦合模式动力学
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
H. Uecker
中科院分区：
文献类型：
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作者：
G. Schneider;H. Uecker
非线性耦合模方程在各种情况下作为通用调制方程出现。本文的目的是证明由非线性耦合模方程得到的近似解与原抛物或双曲方程组的解之间的精确估计。我们考虑的模型包含了在一般情况下必须克服的所有困难。
Nonlinear coupled mode equations occur as universal modulation equations in various circumstances. It is the purpose of this paper to prove exact estimates between the approximations obtained via the nonlinear coupled mode equations and solutions of the original parabolic or hyperbolic systems. The models which we consider contain all difficulties which have to be overcome in the general case.