Exact Solutions of Nonlinear Schrodinger's Equation by using Generalized Kudryashov Method

PANDIR Y., SÖNMEZOĞLU A., Duzgun H. H., Turhan N.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Yunanistan, 22 - 28 Eylül 2014, cilt.1648 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1648
  • Doi Numarası: 10.1063/1.4912593
  • Basıldığı Şehir: Rhodes
  • Basıldığı Ülke: Yunanistan
  • Anahtar Kelimeler: Cubic Nonlinear Schrodinger's Equation, New version of Generalized Kudryashov Method, Dark Soliton Solutions, Rational Hyperbolic Function Solutions, FIBONACCI FUNCTION SOLUTIONS, EXP-FUNCTION METHOD, EVOLUTION-EQUATIONS, WAVE SOLUTIONS
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

In this paper, a new version of generalized Kudryashov method is used to examine the exact solutions of cubic nonlinear Schrodinger's equation (NLS). By using the traveling wave transformation, the NLS equations can be turned into the nonlinear ordinary differential equation. Afterwards, we achieve some new solutions such as dark soliton solutions and rational hyperbolic function solutions by use of a new version of generalized Kudryashov method. Additionally, we jot down that the proposed method is a new version of generalized form of classical Kudryashov Method.