Abstract
We consider the system of nonlinear differential equations governing shallow water waves over a uniform or sloping bottom. By using the hodograph method we construct solutions, conservation laws, and Backlund transformations for these equations. We show that these constructions are canonical relative to a symplectic form introduced by Manin.
| Original language | English |
|---|---|
| Pages (from-to) | 557-562 |
| Number of pages | 6 |
| Journal | International Journal of Mathematics and Mathematical Sciences |
| Volume | 10 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1987 |
Keywords
- Backlund transformation
- Hamiltonian formalism
- Shallow water waves
- completely integrable system
- hodograph transformation
- simple-wave
- symplectic
ASJC Scopus subject areas
- Mathematics (miscellaneous)
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