Solitary wave solutions for the regularized long-wave equation

Irk D.

Physics of Wave Phenomena, cilt.20, sa.3, ss.174-183, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 3
  • Basım Tarihi: 2012
  • Doi Numarası: 10.3103/s1541308x1203003x
  • Dergi Adı: Physics of Wave Phenomena
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.174-183
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

The regularized long-wave equation has been solved numerically using the collocation method based on the Adams-Moulton method for the time integration and quintic B-spline functions for the space integration. The method is tested on the problems of propagation of a solitary wave and interaction of two solitary waves. The three conserved quantities of motion are calculated to determine the conservation properties of the proposed algorithm. The L ∞ error norm is used to measure the difference between exact and numerical solutions. A comparison with the previously published numerical methods is performed. © 2012 Allerton Press, Inc.