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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aBa?cklund and Darboux transformations $egeometry and modern applications in soliton theory /$fC. Rogers, W.K. Schief$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2002.
215   $a1 online resource (xvii, 413 pages) $cdigital, PDF file(s)
225 1 $aCambridge texts in applied mathematics ;$v30
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
311   $a0-521-01288-0 
311   $a0-521-81331-X 
320   $aIncludes bibliographical references and index.
330   $aThis book describes the remarkable connections that exist between the classical differential geometry of surfaces and modern soliton theory. The authors also explore the extensive body of literature from the nineteenth and early twentieth centuries by such eminent geometers as Bianchi, Darboux, Ba?cklund, and Eisenhart on transformations of privileged classes of surfaces which leave key geometric properties unchanged. Prominent amongst these are Ba?cklund-Darboux transformations with their remarkable associated nonlinear superposition principles and importance in soliton theory. It is with these transformations and the links they afford between the classical differential geometry of surfaces and the nonlinear equations of soliton theory that the present text is concerned. In this geometric context, solitonic equations arise out of the Gauß-Mainardi-Codazzi equations for various types of surfaces that admit invariance under Ba?cklund-Darboux transformations. This text is appropriate for use at a higher undergraduate or graduate level for applied mathematicians or mathematical physics.
410  0$aCambridge texts in applied mathematics ;$v30.
517 3 $aBa?cklund & Darboux Transformations
606   $aSolitons
606   $aBa?cklund transformations
606   $aDarboux transformations
615  0$aSolitons.
615  0$aBa?cklund transformations.
615  0$aDarboux transformations.
676   $a530.124
700   $aRogers$b C.$0344299
702   $aSchief$b W. K$g(Wolfgang Karl),$f1964-
801  0$bUkCbUP
801  1$bUkCbUP
906   $aBOOK
912   $a9910455604003321
996   $aBäcklund and Darboux transformations$9168076
997   $aUNINA