Abstract
In this study, we represent an application of the geometrical characterization of µ-prolongations of vector fields to the nonlinear partial differential Gardner equation with variable coefficients. First, µ-symmetries and the corresponding µ-symmetry classification are investigated and then µ-reduction forms of the equations are obtained. Furthermore, µ-invariant solutions are determined and µ-conservation laws of Gardner equation are studied.
| Original language | English |
|---|---|
| Pages (from-to) | 69-90 |
| Number of pages | 22 |
| Journal | Journal of Nonlinear Mathematical Physics |
| Volume | 26 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2 Jan 2019 |
Bibliographical note
Publisher Copyright:© 2018, © 2018 The Authors.
Keywords
- classification
- Gardner equation
- µ-conservation laws
- µ-reductions
- µ-symmetries