The Three-Wave Resonant Interaction Equations: Spectral and Numerical Methods

被引：15

作者：

Degasperis, Antonio ^{[1
,4
]}

Conforti, Matteo ^{[2
,3
]}

Baronio, Fabio ^{[2
,3
]}

Wabnitz, Stefan ^{[2
,3
]}

Lombardo, Sara ^{[5
,6
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Fis, Rome, Italy

[2] Univ Brescia, CNISM, Brescia, Italy

[3] Univ Brescia, Dipartimento Ingn Informaz, Brescia, Italy

[4] Ist Nazl Fis Nucl, Sez Roma, Rome, Italy

[5] Vrije Univ Amsterdam, Dept Math, Amsterdam, Netherlands

[6] Univ Manchester, Sch Math, Manchester, Lancs, England

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2011年 / 96卷 / 1-3期

基金：

英国工程与自然科学研究理事会;

关键词：

three-wave resonant interaction; spectral theory; numerical computation; INTEGRABILITY; PULSES; WAVES;

D O I：

10.1007/s11005-010-0430-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：367 / 403

页数：37

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