Recursion operator and dispersionless Lax representation

buir.advisor	Gürses, Metin
dc.contributor.author	Zheltukhin, Kostyantyn
dc.date.accessioned	2016-07-01T10:56:32Z
dc.date.available	2016-07-01T10:56:32Z
dc.date.issued	2002
dc.description	Cataloged from PDF version of article.	en_US
dc.description.abstract	We give a general method for constructing recursion operators for some equations of hydrodynamic type, admitting a dispersionless Lax representation. We consider a polynomial and rational Lax function. We give several examples containing the equations of shallow water waves, polytropic gas dynamics and a degenerate bi-Hamiltonian system with a recursion operator. We also discuss a reduction of N + 1 systems to N systems of some new integrable equations of hydrodynamic type.	en_US
dc.description.statementofresponsibility	Zheltukhin, Kostyantyn	en_US
dc.format.extent	vi, 85 leaves, 30 cm	en_US
dc.identifier.itemid	BILKUTUPB067604
dc.identifier.uri	http://hdl.handle.net/11693/29250
dc.language.iso	English	en_US
dc.rights	info:eu-repo/semantics/openAccess	en_US
dc.subject	Integrable System	en_US
dc.subject	Dispersionless Lax Representation	en_US
dc.subject	Simetri Adım Operat¨orleri	en_US
dc.subject	Hidrodinamik Tipli Denklemler	en_US
dc.subject.lcc	QA614.8 .Z44 2002	en_US
dc.subject.lcsh	Differential dynamical systems.	en_US
dc.title	Recursion operator and dispersionless Lax representation	en_US
dc.type	Thesis	en_US
thesis.degree.discipline	Mathematics
thesis.degree.grantor	Bilkent University
thesis.degree.level	Doctoral
thesis.degree.name	Ph.D. (Doctor of Philosophy)

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