Why do soliton equations come in hierarchies?

dc.contributor	Virginia Tech	en
dc.contributor.author	Yordanov, R. G.	en
dc.contributor.department	Mathematics	en
dc.date.accessed	2014-03-20	en
dc.date.accessioned	2014-04-09T18:12:30Z	en
dc.date.available	2014-04-09T18:12:30Z	en
dc.date.issued	1993-09	en
dc.description.abstract	In this article, an identity satisfied by the so-called recursion operator is derived. The identity generates by itself an infinite sequence of Lax pairs, thus ensuring the complete integrability of the corresponding hierarchy of nonlinear evolution equations. It is also shown that this identity yields the familiar property that the squares of eigenfunctions of the associated linear spectral problem satisfy the linearized version of the respective soliton equation.	en
dc.identifier.citation	Yordanov, R. G., "Why do soliton equations come in hierarchies?," J. Math. Phys. 34, 4045 (1993); http://dx.doi.org/10.1063/1.530024	en
dc.identifier.doi	https://doi.org/10.1063/1.530024	en
dc.identifier.issn	0022-2488	en
dc.identifier.uri	http://hdl.handle.net/10919/47100	en
dc.identifier.url	http://scitation.aip.org/content/aip/journal/jmp/34/9/10.1063/1.530024	en
dc.language.iso	en_US	en
dc.publisher	AIP Publishing	en
dc.rights	In Copyright	en
dc.rights.uri	http://rightsstatements.org/vocab/InC/1.0/	en
dc.subject	potentials	en
dc.subject	energy	en
dc.title	Why do soliton equations come in hierarchies?	en
dc.title.serial	Journal of Mathematical Physics	en
dc.type	Article - Refereed	en

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