E J Parkes1
Published under licence by IOP Publishing Ltd
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Citation E J Parkes 1993 J. Phys. A: Math. Gen. 26 6469
DOI 10.1088/0305-4470/26/22/040
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Vakhnenko's equation has two families of travelling wave solutions. The method of Rowlands and Infeld (1990) is used to investigate whether these solutions are stable to long wavelength perturbations of small amplitude. The method predicts stability for both families of solutions. Some comments on the validity of the method are given.