Home > Papers

 
 
Integrable hierarchy covering the lattice Burgers equation in fluid mechanics: N-fold Darboux transformation and conservation laws
Wen Xiaoyong 1,Gao Yitian 2 *,Xue Yushan 3,Guo Rui 3,Qi Fenghua 3,Yu Xin 2
1.Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics,Beijing University of Aeronautics and Astronautics, Beijing 100191
2.Ministry-of-Education Key Laboratory of Fluid Mechanics andNational Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100191
3.School of Science, P.O. Box 122, Beijing University of Posts and Telecommunications, Beijing 100876
*Correspondence author
#Submitted by
Subject:
Funding: the Specialized Research Fund for the Doctoral Program of Higher Education (No.No. 200800130006), National Natural Science Foundation of China(No.No.60772023), Chinese Ministry of Education,and by the Scientific Research Common Program of Beijing Municipal Commission of Education(No.No.KM201010772020), by the Fundamental Research Funds for the Central Universities of China(No.No.2011BUPTYB02)
Opened online:16 May 2012
Accepted by: none
Citation: Wen Xiaoyong,Gao Yitian,Xue Yushan.Integrable hierarchy covering the lattice Burgers equation in fluid mechanics: N-fold Darboux transformation and conservation laws[OL]. [16 May 2012] http://en.paper.edu.cn/en_releasepaper/content/4477987
 
 
Burgers-type equations can describe some phenomena in fluids, plasmas, gas dynamics, traffic, etc. In this paper, an integrable hierarchy covering the lattice Burgers equation is derived from a discrete spectral problem. N-fold Darboux transformation (DT) and conservation laws for the lattice Burgers equation are constructed based on its Lax pair. N-soliton solution in the form of Vandermonde-like determinant is derived via the resulting DT with symbolic computation, structures of those solutions are shown graphically. Coexistence of the elastic-inelastic interaction phenomenon among the three solitons is firstly reported for the lattice Burgers equation, even if the similar phenomenon for certern continuous systems appears in literature. Results in this paper might be helpful for understanding some ecological problems describing the evolution of competing species and the propagation of nonlinear waves in fluids.
Keywords:Discrete spectral problem; Lattice Burgers equation; N-fold Darboux transformation; Conservation laws; Symbolic computation
 
 
 

For this paper

  • PDF (0B)
  • ● Revision 0   
  • ● Print this paper
  • ● Recommend this paper to a friend
  • ● Add to my favorite list

    Saved Papers

    Please enter a name for this paper to be shown in your personalized Saved Papers list

Tags

Add yours

Related Papers

Statistics

PDF Downloaded 201
Bookmarked 0
Recommend 5
Comments Array
Submit your papers