English

On Completely Integrability Systems of Differential Equations

Exactly Solvable and Integrable Systems 2015-05-20 v1

Abstract

In this note we discuss the approach which was given by Wazwaz for the proof of the complete integrability to the system of nonlinear differential equations. We show that his method presented in [Wazwaz A.M. Completely integrable coupled KdV and coupled KP systems, Commun Nonlinear Sci Simulat 15 (2010) 2828-2835] is incorrect.

Cite

@article{arxiv.1011.3936,
  title  = {On Completely Integrability Systems of Differential Equations},
  author = {Nikolay A. Kudryashov},
  journal= {arXiv preprint arXiv:1011.3936},
  year   = {2015}
}

Comments

14 pages. This paper was sent to the Communications in Nonlinear Science and Numerical Simulation

R2 v1 2026-06-21T16:45:05.008Z