Similarity reduction, nonlocal and master symmetries of sixth order Korteweg–deVries equation

Similarity reduction, nonlocal and master symmetries of sixth order Korteweg–deVries equation

A systematic investigation to derive the Lie point symmetries, nonlocal and master symmetries of sixth order Korteweg–de Vries equation (KdV6) is presented. Using the obtained point symmetries, similarity reductions are derived and constructed their particular solutions wherever possible. It is show...

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Veröffentlicht in:Journal of mathematical physics 2009-05, Vol.50 (5), p.053505-053505-10
Hauptverfasser: Sahadevan, R., Nalinidevi, L.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Linear equations
Mathematical methods in physics
Mathematics
Physics
Sciences and techniques of general use
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Zusammenfassung:A systematic investigation to derive the Lie point symmetries, nonlocal and master symmetries of sixth order Korteweg–de Vries equation (KdV6) is presented. Using the obtained point symmetries, similarity reductions are derived and constructed their particular solutions wherever possible. It is shown that KdV6 admits infinitely many nonlocal and master symmetries. The existence of infinitely many master symmetries ensures that KdV6 is completely integrable.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.3126486