English

Remarks on the first integral method for solving nonlinear evolution equations

Exactly Solvable and Integrable Systems 2015-05-05 v2

Abstract

We point out that use of the first integral method ( J.Phys. A :Math. Gen. 35 (2002) 343 ) for solving nonlinear evolution equations gives only particular solutions of equations that model conservative systems. On the other hand, for dissipative dynamical systems, the method leads to incorrect solutions of the equations.

Keywords

Cite

@article{arxiv.1504.01890,
  title  = {Remarks on the first integral method for solving nonlinear evolution equations},
  author = {Aparna Saha and B. Talukdar Umapada Das and Supriya Chatterjee},
  journal= {arXiv preprint arXiv:1504.01890},
  year   = {2015}
}
R2 v1 2026-06-22T09:12:27.836Z