Properties of the Calogero-Degasperis-Ibragimov-Shabat differential sequence

We present a differential sequence based upon the Calogero-Degasperis-Ibragimov-Shabat Equation and determine first integrals and the general solution. Under suitable transformations eachmember of the differential sequence can be recast as a product of two factors and we report some of the propertie...

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Veröffentlicht in:	Lobachevskii journal of mathematics 2011, Vol.32 (1), p.61-70
Hauptverfasser:	Euler, M., Euler, N., Leach, P. G. L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Differential sequences Geometry Integrable differential equations Matematik Mathematical Logic and Foundations Mathematics Mathematics and Statistics Probability Theory and Stochastic Processes singularity analysis symmetry analysis
Online-Zugang:	Volltext
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Zusammenfassung:	We present a differential sequence based upon the Calogero-Degasperis-Ibragimov-Shabat Equation and determine first integrals and the general solution. Under suitable transformations eachmember of the differential sequence can be recast as a product of two factors and we report some of the properties of the factored form.
ISSN:	1995-0802 1818-9962 1818-9962
DOI:	10.1134/S1995080211010070