• Title of article

    A modified tanh–coth method for solving the KdV and the KdV–Burgers’ equations

  • Author/Authors

    Wazzan، نويسنده , , Luwai، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2009
  • Pages
    8
  • From page
    443
  • To page
    450
  • Abstract
    In this work we use a modified tanh–coth method to solve the Korteweg-de Vries and Korteweg-de Vries–Burgers’ equations. The main idea is to take full advantage of the Riccati equation that the tanh-function satisfies. New multiple travelling wave solutions are obtained for the Korteweg-de Vries and Korteweg-de Vries–Burgers’ equations.
  • Keywords
    KdV equation , The extended tanh method , The tanh–coth method , Riccati equation , travelling wave solutions , KdV–Burgers’ equation
  • Journal title
    Communications in Nonlinear Science and Numerical Simulation
  • Serial Year
    2009
  • Journal title
    Communications in Nonlinear Science and Numerical Simulation
  • Record number

    1534012