Clarkson, P.A. and Gordoa, P.R. and Pickering, A. (1997) Multicomponent equations associated to non-isospectral scattering problems. Inverse Problems, 13 (6). pp. 1463-1476. ISSN 0266-5611.
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Abstract
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.
| Item Type: | Article |
|---|---|
| Depositing User: | T. Nasir |
| Date Deposited: | 25 Oct 2009 11:08 |
| Last Modified: | 25 Oct 2009 11:08 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/18355 (The current URI for this page, for reference purposes) |
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