F-Expansion Method and New Exact Solutions of the Schrodinger-KdV Equation

Creative Commons License

FİLİZ A., EKİCİ M., SÖNMEZOĞLU A.

SCIENTIFIC WORLD JOURNAL, 2014 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası:
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1155/2014/534063
  • Dergi Adı: SCIENTIFIC WORLD JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

F-expansion method is proposed to seek exact solutions of nonlinear evolution equations. With the aid of symbolic computation, we choose the Schrodinger-KdV equation with a source to illustrate the validity and advantages of the proposed method. A number of Jacobi-elliptic function solutions are obtained including the Weierstrass-elliptic function solutions. When the modulus m of Jacobi-elliptic function approaches to 1 and 0, soliton-like solutions and trigonometric-function solutions are also obtained, respectively. The proposed method is a straightforward, short, promising, and powerful method for the nonlinear evolution equations in mathematical physics.