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

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

2010-09-02

arxiv.org/abs/1009.0443v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

5 pages

Scientific paper

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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