Modified Korteweg-de Vries surfaces

dc.citation.epage	013505-16	en_US
dc.citation.issueNumber	1	en_US
dc.citation.spage	013505-1	en_US
dc.citation.volumeNumber	48	en_US
dc.contributor.author	Tek, S.	en_US
dc.date.accessioned	2015-07-28T11:58:10Z
dc.date.available	2015-07-28T11:58:10Z
dc.date.issued	2007	en_US
dc.department	Department of Mathematics	en_US
dc.description.abstract	In this work, we consider 2-surfaces in R3 arising from the modified Korteweg-de Vries (mKdV) equation. We give a method for constructing the position vector of the mKdV surface explicitly for a given solution of the mKdV equation. mKdV surfaces contain Willmore-like and Weingarten surfaces. We show that some mKdV surfaces can be obtained from a variational principle where the Lagrange function is a polynomial of the Gaussian and mean curvatures. © 2007 American Institute of Physics.	en_US
dc.description.provenance	Made available in DSpace on 2015-07-28T11:58:10Z (GMT). No. of bitstreams: 1 10.1063-1.2409523.pdf: 808797 bytes, checksum: 5e780b4da2235c58075a7ef1c25dae01 (MD5)	en
dc.identifier.doi	10.1063/1.2409523	en_US
dc.identifier.issn	0022-2488
dc.identifier.uri	http://hdl.handle.net/11693/11604
dc.language.iso	English	en_US
dc.publisher	American Institute of Physics	en_US
dc.relation.isversionof	http://dx.doi.org/10.1063/1.2409523	en_US
dc.source.title	Journal of Mathematical Physics	en_US
dc.subject	Soliton Surfaces	en_US
dc.subject	Lie-algebras	en_US
dc.subject	Geometry	en_US
dc.title	Modified Korteweg-de Vries surfaces	en_US
dc.type	Article	en_US

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