Classification of Symmetry-Integrable Evolution Equations
نویسندگان
چکیده
This paper describes some recent developments which have made it possible to effectively classify homogeneous systems having infinitely many generalized symmetries, both in the commutative and the noncommutative case. It discusses the program that has to be carried out next to come to an automatic classification mechanism.
منابع مشابه
Differential polynomials and symbolic representation
In the Symmetry Approach the existence of infinite hierarchies of higher symmetries and/or local conservation laws is taken as a definition of integrability. The main aims of the approach are to obtain easily verifiable necessary conditions of integrability, to identify integrable cases and even to give complete description and classification of integrable system of a particular type. It proved...
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تاریخ انتشار 2007