Abstract
The direct method developed by Clarkson and Kruskal (1989 J. Math. Phys. 30 2201) for finding the symmetry reductions of a nonlinear system is extended to find the conditional similarity solutions. Using the method of the Jimbo-Miwa (JM) equation, we find that three well-known (2+1)-dimensional models - the asymmetric Nizhnik-Novikov-Veselov equation, the breaking soliton equation and the Kadomtsev-Petviashvili equation - can all be obtained as the conditional similarity reductions of the JM equation.
| Original language | English |
|---|---|
| Pages (from-to) | 897-901 |
| Number of pages | 5 |
| Journal | Chinese Physics (Overseas Edition) |
| Volume | 10 |
| Issue number | 10 |
| DOIs | |
| State | Published - 2001 |
| Externally published | Yes |
Keywords
- Asymmetric Nizhnik-Novikov-Veselov equation
- Breaking soliton equation
- Conditional similarity reductions
- Jimbo-Miwa equation
- Kadomtsev-Petviashvili equation