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
DOI:
https://doi.org/10.24054/bistua.v22i1.2526Keywords:
Korteweg-de Vries equationAbstract
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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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.
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