• Title of article

    A note on ‘‘The tanh–coth method combined with the Riccati equation for solving nonlinear coupled equation in mathematical physics’’

  • Author/Authors

    Kudryashov, Nikolai A. National Research Nuclear University - Department of Applied Mathematics, Russia , Shilnikov, Kirill E. National Research Nuclear University - Department of Applied Mathematics, Russia

  • From page
    379
  • To page
    381
  • Abstract
    The recent paper ‘‘The tanh–coth method combined with the Riccati equation for solving nonlinear coupled equation in mathematical physics’’ (J. King Saud Univ. Sci. 23 (2011) 127–132) is analyzed. We show that the authors of this paper solved equations with the well known solutions. One of these equations is the famous Riccati equation and the other equation is one for the Weierstrass elliptic function. We present the general solutions of these equations. As this takes place, 19 solutions by authors do not satisfy the equation but the other 29 solutions can be obtained from the general solutions.
  • Keywords
    Riccati equation , Weierstrass elliptic function , Tanh–coth method
  • Journal title
    Journal Of King Saud University - Science
  • Journal title
    Journal Of King Saud University - Science
  • Record number

    2609293