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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2002 Volume 133, Number 2, Pages 259–269 (Mi tmf395)

This article is cited in 1 paper

Inverse Spectral Transform for the $q$-Deformed Volterra Equation

S. Lombardo

University of Leeds

Abstract: We use the inverse spectral transform to study a $q$-deformation of the Volterra equation. The $q$-deformed time dependence of the spectral data is computed, and the one-soliton solution is explicitly constructed.

Keywords: $q$-equations, $q$-deformations.

DOI: 10.4213/tmf395


 English version:
Theoretical and Mathematical Physics, 2002, 133:2, 1539–1548

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