Integrable multiwave interaction systems of ODEs

S. Wojciechowski; Zhuhan Jiang; R. K. Bullough

doi:10.1016/0375-9601(86)90006-X

Integrable multiwave interaction systems of ODEs

S. Wojciechowski, Zhuhan Jiang, R. K. Bullough

University of Manchester

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

We prove complete integrability of a system of ODEs, the so called multiple 3-wave interaction equations, which are only loosely related to the 3-wave PDEs. We introduce an alternative nondegenerate matrix Lax representation which yields all the integrals of motion directly. A new general class of multiwave interaction ODEs is constructed and complete integrability proved for a nontrivial example of these.

Original language	English
Pages (from-to)	399-404
Number of pages	6
Journal	Physics Letters. Section A: General, Atomic and Solid State Physics
Volume	117
Issue number	8
DOIs	https://doi.org/10.1016/0375-9601(86)90006-X
Publication status	Published - 8 Sept 1986
Externally published	Yes

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Cite this

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title = "Integrable multiwave interaction systems of ODEs",

abstract = "We prove complete integrability of a system of ODEs, the so called multiple 3-wave interaction equations, which are only loosely related to the 3-wave PDEs. We introduce an alternative nondegenerate matrix Lax representation which yields all the integrals of motion directly. A new general class of multiwave interaction ODEs is constructed and complete integrability proved for a nontrivial example of these.",

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AU - Jiang, Zhuhan

AU - Bullough, R. K.

PY - 1986/9/8

Y1 - 1986/9/8

N2 - We prove complete integrability of a system of ODEs, the so called multiple 3-wave interaction equations, which are only loosely related to the 3-wave PDEs. We introduce an alternative nondegenerate matrix Lax representation which yields all the integrals of motion directly. A new general class of multiwave interaction ODEs is constructed and complete integrability proved for a nontrivial example of these.

AB - We prove complete integrability of a system of ODEs, the so called multiple 3-wave interaction equations, which are only loosely related to the 3-wave PDEs. We introduce an alternative nondegenerate matrix Lax representation which yields all the integrals of motion directly. A new general class of multiwave interaction ODEs is constructed and complete integrability proved for a nontrivial example of these.

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U2 - 10.1016/0375-9601(86)90006-X

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SP - 399

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JO - Physics Letters. Section A: General, Atomic and Solid State Physics

JF - Physics Letters. Section A: General, Atomic and Solid State Physics

IS - 8

ER -

Integrable multiwave interaction systems of ODEs

Abstract

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