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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2009 Volume 5, 101, 7 pp. (Mi sigma447)
This article is cited in 9 papers

On a Whitham-Type Equation

Sergei Sakovich

Institute of Physics, National Academy of Sciences, 220072 Minsk, Belarus

Abstract: The Hunter–Saxton equation and the Gurevich–Zybin system are considered as two mutually non-equivalent representations of one and the same Whitham-type equation, and all their common solutions are obtained exactly.

Keywords: nonlinear PDEs; transformations; general solutions.

MSC: 35Q58; 35C05

Received: September 27, 2009; in final form November 5, 2009; Published online November 8, 2009

Language: English

DOI: 10.3842/SIGMA.2009.101



Bibliographic databases:
ArXiv: 0909.4455

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