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 :
2609291
Link To Document :
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