Abstract
A class of dispersive equations is studied within the framework of group analysis of differential equations. The enhanced Lie group classification is achieved. The complete list of equivalence transformations is presented. It is shown that certain equations from the class admit nonclassical reductions. Potential and potential nonclassical symmetries are also considered.
Original language | English |
---|---|
Pages (from-to) | 1275-1287 |
Number of pages | 13 |
Journal | Communications in Nonlinear Science and Numerical Simulation |
Volume | 22 |
Issue number | 1-3 |
DOIs | |
Publication status | Published - 1 May 2015 |
Keywords
- Dispersive equations
- Equivalence transformations
- Lie symmetries
- Nonclassical reductions
- Potential symmetries