This article is cited in 19 papers

Classification of integrable Benjamin–Ono-type equations

A. V. Mikhailov^ab, V. S. Novikov<sup>a

a</sup> L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
^b University of Leeds

Abstract: Integrable generalisations of the Benjamin–Ono equation are constructed. The integrable equations of this type are classified by using the perturbative symmetry approach.

Key words and phrases: Soliton theory, integrable equations, Benjamin–Ono-type equations, symmetry approach.

MSC: 37KXX, 70EXX

Received: March 3, 2003

Language: English

DOI: 10.17323/1609-4514-2003-3-4-1293-1305

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