Reductions for Kundu-Eckhaus equation via Lie symmetry analysis

In this paper, using Lie symmetry method, we find classical symmetry operators for Kundu-Eckhaus equation (KE). Also, we obtain one-dimensional optimal system and reduction Lie invariants corresponding to infinitesimal symmetries of the KE equation. Finally, differential invariants of the KE equatio...

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Veröffentlicht in:	Mathematical sciences (Karaj, Iran) Iran), 2013-12, Vol.7 (1), p.50
Hauptverfasser:	Toomanian, Megerdich, Asadi, Naser
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Mathematics Mathematics and Statistics Original Research
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In this paper, using Lie symmetry method, we find classical symmetry operators for Kundu-Eckhaus equation (KE). Also, we obtain one-dimensional optimal system and reduction Lie invariants corresponding to infinitesimal symmetries of the KE equation. Finally, differential invariants of the KE equation are presented.
ISSN:	2008-1359 2251-7456 2251-7456
DOI:	10.1186/2251-7456-7-50