A new hierarchy of integrable system of 1 + 2 dimensions: from Newton's law to generalized Hamiltonian system. Part II

Xuncheng Huang and Guizhang Tu

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-10

Abstract:

The Hamiltonian equation provides us an alternate description ofthe basic physical laws of motion, which is used to be describedby Newton's law. The research on Hamiltonian integrable systems isone of the most important topics in the theory of solitons. Thisarticle proposes a new hierarchy of integrable systems of 1 + 2 dimensions with its Hamiltonian form by following the residueapproach of Fokas and Tu. The new hierarchy of integrable systemis of fundamental interest in studying the Hamiltonian systems.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:070747

DOI: 10.1155/IJMMS/2006/70747

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