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Journal of the London Mathematical Society 1993 s2-47(2):321-340; doi:10.1112/jlms/s2-47.2.321
© 1993 by London Mathematical Society
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© London Mathematical Society, 1993

On (Modified) Boussinesq-Type Systems and Factorizations of Associated Linear Differential Expressions

Friedrich Gesztesy, David Race and Rudi Weikard

Department of Mathematics University of Missouri-Columbia Columbia Mo 65211 USA E-mail: mathfg{at}mizzovl.missouri.edu
Department of Mathematical and Computing Sciences University of Surrey Guildford Surrey GU2 5XH
Department of Mathematics University of Alabama at Birmingham Birmingham Al 35294 USA E-mail: rudi{at}math.uab.edu

We study Bäcklund transformations for a Boussinesq- or nonlinear string-type equation and explicitly construct solutions for the associated modified equations. Our main results involve Miura-type transformations and a careful study of factorizations of associated third-order linear differential expressions.


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