Conservation laws for a class of soil water equations

Yasar E.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, cilt.15, sa.10, ss.3193-3200, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 10
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.cnsns.2009.11.014
  • Dergi Adı: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3193-3200
  • Anahtar Kelimeler: Conversation laws, Symmetries, DRIP-IRRIGATED TOMATOES, EXTRACTION PATTERNS, REDISTRIBUTION, SYMMETRIES, TABLE
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we consider a class of nonlinear partial differential equations which model soil water infiltration, redistribution and extraction in a bedded soil profile irrigated by a line source drip irrigation system. By using the nonlocal conservation theorem method and the partial Lagrangian approach, conservation laws are presented. It is observed that both approaches lead to the nontrivial and infinite conservation laws. (C) 2009 Elsevier B.V. All rights reserved.