Quasi-periodic solution of the (2+1)-dimensional Boussinesq–Burgers soliton equation

Jinshun Zhang, Yongtang Wu and Xuemei Li

Physica A: Statistical Mechanics and its Applications, 2003, vol. 319, issue C, 213-232

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.

Keywords: Integrable systems; Theta functions; Abel–Jacobi coordinates (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:319:y:2003:i:c:p:213-232

DOI: 10.1016/S0378-4371(02)01526-1

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