Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1901021 | Reports on Mathematical Physics | 2013 | 18 Pages |
Abstract
Potential symmetry of a class of nonlinear transport equations taking into account the effects of memory is studied. For a specific transport coefficient the symmetry is shown to be infinite. This fact is used for constructing nonlocal transformation linearizing the transport equation. New formulae of nonlocal nonlinear superposition and generation of solutions are proposed. Additional Lie symmetries of the corresponding linear equations are used to construct nonlocal symmetries of the source equation. The formulae derived are used for the construction of exact solutions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
W. Rzeszut, O. Tertyshnyk, V. Tychynin, V. Vladimirov,