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

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  • Zhang, Jinshun
  • Wu, Yongtang
  • Li, Xuemei

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.

Suggested Citation

  • Zhang, Jinshun & Wu, Yongtang & Li, Xuemei, 2003. "Quasi-periodic solution of the (2+1)-dimensional Boussinesq–Burgers soliton equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 319(C), pages 213-232.
    • Handle: RePEc:eee:phsmap:v:319:y:2003:i:c:p:213-232
    DOI: 10.1016/S0378-4371(02)01526-1
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