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Computer classification of integrable coupled KdV-like systems

โœ Scribed by V.P. Gerdt; D.Yu. Zharkov

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
261 KB
Volume
10
Category
Article
ISSN
0747-7171

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โœฆ Synopsis

The foundations of the symmetry approach to the classification problem ofintegrable non-linear evolution systems are briefly described. Within the framework of the symmetry approach the ten-parametric family of the third order non-linear evolution coupled KdV-like systems is investigated. The necessary integrability conditions lead to an over-determined non-linear algebraic system. To solve that system an effective method based on its structure has been used. This allows us to obtain the complete list of integrable systems of a given type. All computation has been completed on the basis of computer algebra systems FORMAC and REDUCE.

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