The Three-Wave Resonant Interaction Equations: Spectral and Numerical Methods
The Three-Wave Resonant Interaction Equations: Spectral and Numerical Methods
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DOI：
10.1007/s11005-010-0430-4
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发表时间：
2011-06
影响因子：
1.2
通讯作者：
A. Degasperis;M. Conforti;F. Baronio;S. Wabnitz;S. Lombardo
中科院分区：
文献类型：
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作者：
A. Degasperis;M. Conforti;F. Baronio;S. Wabnitz;S. Lombardo
本文研究了三波共振相互作用的可积偏微分方程的谱理论，其目的是数值求解边值为零和非零时的正谱问题。给出了计算连续谱数据和离散谱特征值的方法，并给出了计算实例。还显示了Manley-Rowe不变量的显式谱表示。
The spectral theory of the integrable partial differential equations which model the resonant interaction of three waves is considered with the purpose of numerically solving the direct spectral problem for both vanishing and non vanishing boundary values. Methods of computing both the continuum spectrum data and the discrete spectrum eigenvalues are given together with examples of such computations. The explicit spectral representation of the Manley-Rowe invariants is also displayed.