Symmetries, solutions and conservation laws for the (2+1) filtration-absorption model

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URI: http://hdl.handle.net/10498/33319

DOI: 10.1007/s10910-018-0955-9

ISSN: 0259-9791

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Author/s
Garrido Letrán, Tamara MaríaAuthority UCA; Rosa Silva, Rafael de laAuthority UCA; Recio Rodríguez, ElenaAuthority UCA; Bruzón Gallego, María de los SantosAuthority UCA
Date
2019
Department
Matemáticas
Source
Journal of Mathematical Chemistry - 57 (5) (2019) 1301–1313
Abstract
In this paper we have considered the (2+1) filtration-absorption equation that models the flowof impurewater in awater-absorbing fissured porous medium.We have applied the Lie method to get the Lie symmetries classificationwith respect to the parameter of the equation and we have interpreted them. Additionally, we have obtained solutions for the travellingwave case. Lastly, all low-order conservation laws have been obtained by using the direct method of multipliers. Its associated conserved integral is also interpreted.
Subjects
Filtration-absorption model; (2 + 1)-dimensional equation; Lie symmetries; Travelling wave solutions; Conservation laws
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional