1990中国科学通报:英文版Requires access

A NEW INVOLUTIVE SYSTEM OF POLYNOMIALS AND ITS CLASSICAL INTEGRABLE SYSTEMS

马文秀

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Abstract

It is well known that, making use of isospectral technique of Lax, we can obtain involutive integrals of motion for some classical integrable systems. Flaschka first applied this Lax trick to the Toda lattice. Afterwards, Moser gave the Lax pairs corresponding to

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What this paper is about

It is well known that, making use of isospectral technique of Lax, we can obtain involutive integrals of motion for some classical integrable systems. Flaschka first applied this Lax trick to the Toda lattice. Afterwards, Moser gave the Lax pairs corresponding to

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Available abstract

It is well known that, making use of isospectral technique of Lax, we can obtain involutive integrals of motion for some classical integrable systems. Flaschka first applied this Lax trick to the Toda lattice. Afterwards, Moser gave the Lax pairs corresponding to

Key concepts: Isospectral, Integrable system, Lax pair, Mathematics, Toda lattice, Pure mathematics, Algebra over a field, Lattice (music)

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