Group properties and conservation laws for nonlocal shallow water wave equation

Rezvan F., YAŞAR E., Özer T.

APPLIED MATHEMATICS AND COMPUTATION, cilt.218, sa.3, ss.974-979, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 218 Sayı: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.amc.2011.03.020
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.974-979
  • Anahtar Kelimeler: Nonlocal shallow water wave equation, Lie symmetries, Conservation laws, Symmetry reductions, Optimal system, Self-similar solutions, SYSTEMS
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

Symmetry groups, symmetry reductions, optimal system, conservation laws and invariant solutions of the shallow water wave equation with nonlocal term are studied. First, Lie symmetries based on the invariance criterion for nonlocal equations and the solution approach for nonlocal determining equations are found and then the reduced equations and optimal system are obtained. Finally, new conservation laws are generated and some similarity solutions for symmetry reduction forms are discussed. (C) 2011 Elsevier Inc. All rights reserved.