Superposition principles associated with the Moutard transformation: an integrable discretization of a (2+1)–dimensional sine–Gordon system

Superposition principles, both linear and nonlinear, associated with the Moutard transformation are found. On suitable reinterpretation, these constitute an integrable discrete nonlinear system and its associated linear system. Further, it is shown that, in a particular form, this system is an integ...

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Veröffentlicht in:	Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 1997-02, Vol.453 (1957), p.255-279
Hauptverfasser:	Nimmo, J. J. C., Schief, W. K.
Format:	Artikel
Sprache:	eng
Schlagworte:	Coefficients Differentials Eigenfunctions Linear equations Linear systems Mathematical lattices Mathematical transformations Mathematics Partial differential equations Solitons
Online-Zugang:	Volltext
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