Three-Component Generalisation of Burgers Equation and Its Bi-Hamiltonian Structures-Reference-Cited by-同舟云学术

Three-Component Generalisation of Burgers Equation and Its Bi-Hamiltonian Structures

Published:2017-04-26 Issue:5 Volume:72 Page:469-475
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Liu Wei¹²,Geng Xianguo¹,Xue Bo¹

Affiliation:

1. School of Mathematics and Statistics, Zhengzhou University, 100 Kexue Road, Zhengzhou, Henan 450001, People’s Republic of China

2. Department of Mathematics and Physics, Shijiazhuang Tiedao University, 17 Northeast, Second Inner Ring, Shijiazhuang, Hebei 050043, People’s Republic of China

Abstract

Abstract A hierarchy of three-component generalisation of Burgers equation, which is associated with a 3×3 matrix eigenvalue problem, is generated by using the zero-curvature equation. By means of the trace identity, the bi-Hamiltonian structures of this hierarchy are constructed. Moreover, the infinite conservation laws for the hierarchy are obtained with the aid of spectral parameter expansion.

Funder

National Natural Science Foundation of China

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2016-0493/pdf

Reference24 articles.

1. R. M. Miura, Bäcklund Transformations, the Inverse Scattering Method, Solitons and Their Applications, Springer-Verlag, Berlin 1976.

2. S. Novikov, S. V. Manakov, L. P. Pitaevskii, and V. E. Zakharov, Theory of Solitons, the Inverse Scattering Methods, Consultants Bureau, New York 1984.

3. A. C. Newell, Solitons in Mathematics and Physics, SIAM, Philadelphia 1985.

4. A. M. Wazwaz, Appl. Math. Comput. 217, 8840 (2011).

5. T. Zhou and Z. N. Zhu, Appl. Math. Comput. 249, 121 (2014).

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