Title of article :
Redundant exact solutions of nonlinear differential equations
Author/Authors :
Kudryashov، نويسنده , , Nikolay A.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Abstract :
We analyze the paper by Wazwaz and Mehanna [Wazwaz AM, Mehanna MS. A variety of exact travelling wave solutions for the (2 + 1)-dimensional Boiti–Leon–Pempinelli equation. Appl Math Comput 2010;217:1484–90]. The authors claim that they have found exact solutions of the (2 + 1)-dimensional Boiti–Leon–Pempinelli equation using the tanh–coth method and the Exp-function method. We demonstrate that two of their solutions are incorrect. All the others can be simplified and they are the partial cases of the well-known solution. Wazwaz and Mehanna made a number of typical mistakes in finding exact solutions of nonlinear differential equations. Taking the results of this paper we introduce the definition of redundant exact solutions for the nonlinear ordinary differential equations.
Keywords :
Nonlinear Evolution equations , Nonlinear Ordinary Differential Equation , Exact solutionsRedundant exact solution
Journal title :
Communications in Nonlinear Science and Numerical Simulation
Journal title :
Communications in Nonlinear Science and Numerical Simulation