Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations

Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations

A unified framework is presented for the solution structure of three-dimensional discrete integrable systems, including the lattice AKP, BKP and CKP equations. This is done through the so-called direct linearizing transform, which establishes a general class of integral transforms between solutions....

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Veröffentlicht in:Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2017-07, Vol.473 (2203), p.1-22
Hauptverfasser: Fu, Wei, Nijhoff, Frank W.
Format: Artikel
Sprache:eng
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Zusammenfassung:A unified framework is presented for the solution structure of three-dimensional discrete integrable systems, including the lattice AKP, BKP and CKP equations. This is done through the so-called direct linearizing transform, which establishes a general class of integral transforms between solutions. As a particular application, novel soliton-type solutions for the lattice CKP equation are obtained.
ISSN:1364-5021
1471-2946