The decomposition method for solving the coupled modified KdV equations

  • Authors:

  • A. A. Soliman;M. A. Abdou

  • Affiliations:

  • Department of Mathematics, Faculty of Education (AL-Arish), Suez Canal University, AL-Arish, 45111, Egypt and Department of Mathematics, Teacher's College (Bisha), King Khalid University, Bisha, P ...;Theoretical Research Group, Department of Physics, Faculty of Science, Mansoura University, Mansoura, Egypt and Department of Physics, Faculty of Education for Girls, Science Departments, King Kha ...

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2008

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Abstract

In this paper, the Adomian decomposition method for the approximate solution of coupled modified KdV equations with appropriate initial values is implemented. By using this method, the solution is calculated in the form of power series. The method does not need linearization, weak nonlinearity assumption or perturbation theory. By using the Maple Program, Adomian polynomials of the obtained series solution have been evaluated.