GROUP PROPERTIES OF A ONE-DIMENSIONAL NONLINEAR POROELASTICITY EQUATION
Kholmatzhon ImomnazarovInstitute of the Computational Mathematics and Mathematical Geophysics SB RASRavshanbek YusupovKarakalpak State University named after BerdakhIlham IskandarovPacific State University
Ochiq kirishOlmos
ABI
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This paper studies a class of partial differential equations of second order , with arbitrary functions and , with the help of the group classification. The main Lie algebra of infinitely infinitesimal symmetries is three-dimensional. We use the method of preliminary group classification for obtaining the classifications of these equations for a one-dimensional extension of the main Lie algebra.
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