Publication: Conservation laws for a class of soil water equations
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Yaşar, Emrullah
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Elsevier
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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.
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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
Citation
Yaşar, E. (2010). "Conservation laws for a class of soil water equations". Communications in Nonlinear Science and Numerical Simulation, 15(10), 3193-3200.