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Conservation laws for a class of soil water equations

✍ Scribed by Emrullah Yaşar

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 209 KB
Volume: 15
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2009.11.014

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✦ Synopsis

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.

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