Nonlocal anzätze, reduction and exact solutions of system of the van der Waals equations

Abstract:
Nonlocal equivalence transformations are used to find images of system of the van der Waals equations. The maximal algebra of the invariance was established, Lie and nonlocal anzätze were constructed and reduced both images of system of the van der Waals equations. Symmetry properties of the first and second images of the van der Waals system are used to construct nonlocal anzätze, to reduce and to find exact solutions of system of the van der Waals equations.