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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive
TMF, 2009 Volume 159, Number 3, Pages 411–417 (Mi tmf6360)
This article is cited in 13 papers

Reciprocal transformations for a spectral problem in $2+1$ dimensions

P. G. Estevez

University of Salamanca

Abstract: We present two reciprocal transformations for a spectral problem in $2+1$ dimensions. Reductions of the transformed equations to $1+1$ dimensions include the Degasperis–Procesi and Vakhnenko–Parkes equations.

Keywords: reciprocal transformation, spectral problem.

DOI: 10.4213/tmf6360


 English version: Theoretical and Mathematical Physics, 2009, 159:3, 763–769

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© Steklov Math. Inst. of RAS, 2024