Abstract
By using the hodograph method the author finds almost all the solutions of the classical shallow water equations. The author also constructs an auto-Backlund transformation (superposition principle) on the set of these hodograph solutions and shows that this transformation is canonical relative to a symplectic form introduced by Manin (1978).
| Original language | English |
|---|---|
| Article number | 009 |
| Pages (from-to) | 2133-2136 |
| Number of pages | 4 |
| Journal | Journal of Physics A: General Physics |
| Volume | 16 |
| Issue number | 10 |
| DOIs | |
| State | Published - 1983 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- General Physics and Astronomy
- Mathematical Physics
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