Abstract
We investigate the extended (2+1)-dimensional shallow water wave equation. The binary Bell polynomials are used to construct bilinear equation, bilinear Bäcklund transformation, Lax pair, and Darboux covariant Lax pair for this equation. Moreover, the infinite conservation laws of this equation are found by using its Lax pair. All conserved densities and fluxes are given with explicit recursion formulas. The N-soliton solutions are also presented by means of the Hirota bilinear method.
| Original language | English |
|---|---|
| Article number | 050509 |
| Journal | Chinese Physics B |
| Volume | 22 |
| Issue number | 5 |
| DOIs | |
| State | Published - May 2013 |
Keywords
- Darboux covariant Lax pair
- bilinear B̈acklund transformation
- binary Bell polynomials
- infinite conservation laws