Abstract
A (2+1)-dimensional Bossinesq-Burgers soliton equation is proposed, which has a affinitive connection with the Boussinesq-Burgers soliton hierarchy. Through a natural nonlinearization of the Boussinesq-Burgers's eigenvalue problems, a finite-dimensional Hamiltonian system is obtained and is proved to be completely integrable in Liouville sense. The Abel-Jacobi coordinates are constructed to straighten out the Hamiltonian flows, from which the quasi-periodic solutions of the (2+1)-dimensional Boussinesq-Burgers equation are derived by resorting to the Riemann theta functions.
Original language | English |
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Pages (from-to) | 213-232 |
Number of pages | 20 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 319 |
Early online date | 23 Oct 2002 |
DOIs | |
Publication status | Published - 1 Mar 2003 |
Externally published | Yes |
User-Defined Keywords
- Abel-Jacobi coordinates
- Integrable systems
- Theta functions