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

摘要

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.