A Note on "M - component nonlinear evolution equations: multiple soliton solutions"

2010/09/02 by Naum N. Muraved, Muraved, Naum N.
Physics and Astronomy · #35E20 #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #msc:35E20 #nlin.SI

paper · pdf · doi:10.48550/arxiv.1009.0443

5 pages

arxiv created 2010/09/02 · arxiv updated 2010/09/03

Abstract

We analyze the recent paper by Wazwaz [Wazwaz A.M., M - component nonlinear evolution equations: multiple soliton solutions, Phys. Scr. 81 (2010) 055004]. We demonstrate that author did not consider in essence the M - component nonlinear evolution equations but he reduced the M - component equations to the well - known Korteweg - de Vries equation, to modified Korteweg - de Vries equation and to the Kadomtsev - Petviashvili equation. To find multiple soliton solutions for these well - known equations author has used the Hirota method.

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