TY - JOUR
T1 - Quasi-periodic solution of the (2+1)-dimensional Boussinesq-Burgers soliton equation
AU - Zhang, Jinshun
AU - Wu, Yongtang
AU - Li, Xuemei
N1 - Funding Information:
This work was partially supported by Hong Kong RGC:HKBU 2043/00p. Project 10071075 was supported by National Natural Science Foundation of China. One of the authors (JSZ) would like to thank the Henan Science Foundation Committee of China for financial support.
Publisher copyright:
© 2002 Elsevier Science B.V. All rights reserved.
PY - 2003/3/1
Y1 - 2003/3/1
N2 - 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.
AB - 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.
KW - Abel-Jacobi coordinates
KW - Integrable systems
KW - Theta functions
UR - http://www.scopus.com/inward/record.url?scp=0037362453&partnerID=8YFLogxK
U2 - 10.1016/S0378-4371(02)01526-1
DO - 10.1016/S0378-4371(02)01526-1
M3 - Article
AN - SCOPUS:0037362453
SN - 0378-4371
VL - 319
SP - 213
EP - 232
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
ER -