Geodesic
Classical and nonclassical symmetries for the~Krichever--Novikov equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 168 (2011) no. 1, pp. 24-34

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We study the Krichever–Novikov equation from the standpoint of the theory of symmetry reductions in partial differential equations. We obtain a Lie group classification. Moreover, we obtain some exact solutions, and we apply the nonclassical method.
Keywords: partial differential equation, symmetry
Mots-clés : exact solution. 
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     author = {M. S. Bruz\'on and M. L. Gandarias},
     title = {Classical and nonclassical symmetries for {the~Krichever--Novikov} equation},
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M. S. Bruzón; M. L. Gandarias. Classical and nonclassical symmetries for the~Krichever--Novikov equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 168 (2011) no. 1, pp. 24-34. http://geodesic.mathdoc.fr/item/TMF_2011_168_1_a2/