Conservation laws for a class of soil water equations

Yasar E.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, vol.15, no.10, pp.3193-3200, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 10
  • Publication Date: 2010
  • Doi Number: 10.1016/j.cnsns.2009.11.014
  • Journal Name: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3193-3200
  • Keywords: Conversation laws, Symmetries, DRIP-IRRIGATED TOMATOES, EXTRACTION PATTERNS, REDISTRIBUTION, SYMMETRIES, TABLE
  • Bursa Uludag University Affiliated: Yes

Abstract

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.