A Haar wavelet collocation method for coupled nonlinear Schrodinger-KdV equations

ORUC O., ESEN A., BULUT F.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, cilt.27, sa.9, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 9
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1142/s0129183116501035
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Haar wavelet method, coupled nonlinear Schrodinger-KdV equation, nonlinear phenomena, linearization, numerical solution, NUMERICAL-SOLUTION, BURGERS-EQUATION, SYSTEMS, 2D
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper, to obtain accurate numerical solutions of coupled nonlinear Schrodinger-Korteweg-de Vries (KdV) equations a Haar wavelet collocation method is proposed. An explicit time stepping scheme is used for discretization of time derivatives and nonlinear terms that appeared in the equations are linearized by a linearization technique and space derivatives are discretized by Haar wavelets. In order to test the accuracy and reliability of the proposed method L-2, L-infinity error norms and conserved quantities are used. Also obtained results are compared with previous ones obtained by finite element method, Crank-Nicolson method and radial basis function meshless methods. Error analysis of Haar wavelets is also given.