Auto-Bäcklund transformation and similarity reductions for coupled Burger's equation

Inan I. E., KAYA D., Ugurlu Y.

Applied Mathematics and Computation, cilt.216, sa.9, ss.2507-2511, 2010 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Derleme
  • Cilt numarası: 216 Sayı: 9
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.amc.2010.03.119
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2507-2511
  • Anahtar Kelimeler: Bäcklund transformation, Coupled Burger's equation, Similarity reduction, Solitary wave solution, Traveling wave solution
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this work, we applied Bäcklund transformation and similarity reduction for coupled Burger's equation. Clarkson and Kruskal developed a direct and simple method to obtain more similarity solutions of nonlinear partial differential equation. We received our inspiration from Fan's article, as far as we think that our work is an extended one from the Fan's has done in his paper. As a result of this study, we obtained solitary wave solutions and traveling wave solutions of coupled Burger's equation. © 2010 Elsevier Inc. All rights reserved.