English

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

Exactly Solvable and Integrable Systems 2010-09-03 v1

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.

Keywords

Cite

@article{arxiv.1009.0443,
  title  = {A Note on "M - component nonlinear evolution equations: multiple soliton solutions"},
  author = {Naum N. Muraved},
  journal= {arXiv preprint arXiv:1009.0443},
  year   = {2010}
}

Comments

5 pages

R2 v1 2026-06-21T16:08:37.901Z