Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 5 (2009), 101, 7 pages      arXiv:0909.4455

On a Whitham-Type Equation

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

Received September 27, 2009, in final form November 05, 2009; Published online November 08, 2009

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.

Key words: nonlinear PDEs; transformations; general solutions.

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