New types of exact solutions for nonlinear Schrödinger equation with cubic nonlinearity

  • Authors:
  • Abdelhalim Ebaid;S. M. Khaled

  • Affiliations:
  • Department of Mathematics, Faculty of Science, Tabuk University, P.O. Box 741, Tabuk 71491, Saudi Arabia;Department of Basic Sciences, Community College, Tabuk University, P.O. Box 741, Tabuk 71491, Saudi Arabia and Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2011

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Abstract

Although, many exact solutions were obtained for the cubic Schrodinger equation by many researchers, we obtained in this research not only more exact solutions but also new types of exact solutions in terms of Jacobi-elliptic functions and Weierstrass-elliptic function.