• 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
  • Pages
    6
  • From page
    3451
  • To page
    3456
  • 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
  • Serial Year
    2011
  • Journal title
    Communications in Nonlinear Science and Numerical Simulation
  • Record number

    1536254