Clarkson, Peter and Gordoa, Pilar R. and Pickering, Andrew (1997) Multicomponent equations associated to non-isospectral scattering problems. Inverse Problems, 13 (6). pp. 1463-1476. ISSN 0266-5611. (doi:https://doi.org/10.1088/0266-5611/13/6/004) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)
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We consider a non-isospectral scattering problem having as its spatial part an energy-dependent Schrodinger operator. This gives rise to new completely integrable multicomponent systems of equations in (2 + 1) dimensions. Their reductions to systems in (1 + 1) dimensions have isospectral scattering problems and include multicomponent extensions of the AKNS equation and also a generalization of the Dym equation. An extension of the Fuchssteiner-Fokas-Camassa-Holm equation to (2 + 1) dimensions is also presented.
|Depositing User:||T. Nasir|
|Date Deposited:||25 Oct 2009 11:08 UTC|
|Last Modified:||28 Apr 2014 13:25 UTC|
|Resource URI:||https://kar.kent.ac.uk/id/eprint/18355 (The current URI for this page, for reference purposes)|