Exact and numerical traveling wave solutions for nonlinear coupled equations using symbolic computation

KAYA D., Inan I. E.

Applied Mathematics and Computation, cilt.151, sa.3, ss.775-787, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 151 Sayı: 3
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/s0096-3003(03)00535-6
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.775-787
  • Anahtar Kelimeler: A coupled KdV equation, A coupled MKdV equation, Symbolic computation, The Adomian decomposition method, Traveling wave solution
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

We find the explicit and numerical traveling wave solutions for a coupled KdV equation and a coupled MKdV equation by using the decomposition method with help of symbolic computation. By using this method, the solutions were calculated in the form of a convergent power series with easily computable components. The convergence of the method as applied to the coupled KdV and MKdV equations is illustrated numerically. © 2003 Elsevier Inc. All rights reserved.