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Title: | Conservation laws for a class of soil water equations |
Authors: | Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Anabilim Dalı. 0000-0003-4732-5753 Yaşar, Emrullah AAG-9947-2021 23471031300 |
Keywords: | Conversation laws Symmetries Drip-irrigated tomatoes Extraction patterns Redistribution Table Mathematics Mechanics Physics Geologic models Irrigation Lagrange multipliers Metal recovery Nonlinear equations Partial differential equations Soil moisture Underwater soils Bedded soils Conservation law Conservation theorem Drip irrigation systems Lagrangian approaches Line sources Nonlinear partial differential equations Nonlocal Soil water Soil conservation |
Issue Date: | Oct-2010 |
Publisher: | Elsevier |
Citation: | Yaşar, E. (2010). "Conservation laws for a class of soil water equations". Communications in Nonlinear Science and Numerical Simulation, 15(10), 3193-3200. |
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. |
URI: | https://doi.org/10.1016/j.cnsns.2009.11.014 https://www.sciencedirect.com/science/article/pii/S1007570409006029 http://hdl.handle.net/11452/25508 |
ISSN: | 1007-5704 1878-7274 |
Appears in Collections: | Scopus Web of Science |
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