Another look at the solution of the equations; the modified Benjamin-Bona-Mahony equation and the modified Korteweg-de Vries equation.

Otra mirada a la solución de las ecuaciones; la ecuación modificada de Benjamin-Bona-Mahony y la Korteweg-de Vries

Authors

  • Jairo Alonso Mendoza Suárez Universidad de Pamplona , Universidad de Pamplona ,
  • Juan Carlos López C. Universidad de Pamplona , Universidad de Pamplona , Universidad de Pamplona
  • Rosalba Mendoza S. Universidad de Pamplona , Universidad de Pamplona , Universidad de Pamplona

DOI:

https://doi.org/10.24054/bistua.v22i1.2526

Keywords:

Korteweg-de Vries equation

Abstract

In [1] the authors present an analytical method for solving nonlinear evolution equations, and apply it to find ”new solutions”, of the equations mBBM and mKdV. In this note we prove that these solutions can be found from the general solution and that the method exposed in [1], is not as effective as claimed.

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Author Biographies

  • Juan Carlos López C., Universidad de Pamplona, Universidad de Pamplona, Universidad de Pamplona

     

    Professor of the Mathematics Department at the University of Pamplona.

  • Rosalba Mendoza S., Universidad de Pamplona, Universidad de Pamplona, Universidad de Pamplona

    Professor of the mathematics department of the University of Pamplona

References

Islam MS, Khan K, Akbar MA, Mastroberardino A. 2014 A note on improved F-expansion method combined with Riccati equation applied to nonlinear evolution equations. R.Soc. open sci. 1: 140038.

http://dx.doi.org/10.1098/rsos.140038

Edwards, Penney. 1986.Ecuaciones diferenciales con aplicaciones Mexico. Prentice-Hall

Whittaker, E.T, Watson.G.V. 2008 A course of Modern Analysis. fourth edition. Cambridge. Cambridge University Press.

Additional Files

Published

2024-06-21 — Updated on 2024-06-21

Versions

Issue

Vol. 22 No. 1 (2024)

Section

Paper

License

Copyright (c) 2024 © Autores; Licencia Universidad de Pamplona

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

© Autores; Licencia Universidad de Pamplona

How to Cite

Another look at the solution of the equations; the modified Benjamin-Bona-Mahony equation and the modified Korteweg-de Vries equation.: Otra mirada a la solución de las ecuaciones; la ecuación modificada de Benjamin-Bona-Mahony y la Korteweg-de Vries. (2024). BISTUA Revista De La Facultad De Ciencias Básicas, 22(1), 1-5. https://doi.org/10.24054/bistua.v22i1.2526

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