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/content/aip/journal/jmp/50/2/10.1063/1.3085748
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1.Z. Qiao, J. Math. Phys. 47, 112701 (2006).
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/content/aip/journal/jmp/50/2/10.1063/1.3085748
2009-02-27
2016-09-29

Abstract

In a recent paper [J. Math. Phys.47, 112701 (2006)] Qiao proposed a new completely integrable wave equation. The equation was derived from the two dimensional Euler equations and was proven to posses Lax pair, bi-Hamiltonian structure, and new types of soliton solutions. In this Comment we show that Qiao’s equation is a subcase of an integrable equation, derived by a method that was proposed by Fuchssteiner and Fokas [Physica D4, 47 (1981)] in the early 1980s. We also discuss the existence of the new types of soliton solutions.

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