Abstract
Symmetry groups, symmetry reductions, optimal system, conservation laws and invariant solutions of the shallow water wave equation with nonlocal term are studied. First, Lie symmetries based on the invariance criterion for nonlocal equations and the solution approach for nonlocal determining equations are found and then the reduced equations and optimal system are obtained. Finally, new conservation laws are generated and some similarity solutions for symmetry reduction forms are discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 974-979 |
| Number of pages | 6 |
| Journal | Applied Mathematics and Computation |
| Volume | 218 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Oct 2011 |
Keywords
- Conservation laws
- Lie symmetries
- Nonlocal shallow water wave equation
- Optimal system
- Self-similar solutions
- Symmetry reductions