A quintic B-spline finite-element method for solving the nonlinear Schrodinger equation

Saka B.

PHYSICS OF WAVE PHENOMENA, cilt.20, sa.2, ss.107-117, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 2
  • Basım Tarihi: 2012
  • Doi Numarası: 10.3103/s1541308x12020033
  • Dergi Adı: PHYSICS OF WAVE PHENOMENA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.107-117
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

The nonlinear Schrodinger equation is numerically solved using the collocation method based on quintic B-spline interpolation functions. The efficiency and robustness of the proposed method are demonstrated by standard test problems, such as a one-soliton solution, interaction of two solitons, and formation of a soliton. This method is compared with both the analytical and numerical techniques in the computational section.