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Zbl 1181.37100
Novikov, Vladimir
Generalizations of the Camassa-Holm equation. (English)
[J] J. Phys. A, Math. Theor. 42, No. 34, Article ID 342002, 14 p. (2009). ISSN 1751-8113; ISSN 1751-8121/e

The author considers polynomial homogeneous generalizations of the Camassa-Holm type equation with quadratic and cubic nonlinearity and presented the corresponding Lax representations or linearization transformations for these equations. Some of the obtained equations seem to be new.
[Rakib Efendiev (Baku)]
MSC 2000:
*37K10 Completely integrable systems etc.
37K15 Integration by inverse spectral and scattering methods
37K35 Lie-Bäcklund and other transformations

Keywords: Camassa-Holm equation; Lax representations; perturbative symmetry approach

Cited in: Zbl 1232.35145 Zbl 1228.35066 Zbl 1235.35011

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