Research PapersNo Access

CONSTRUCTING INTEGRABLE COUPLINGS FOR THE C-KdV HIERARCHY

LING LI

College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao, 266510, China

Search for more papers by this author

HUANHE DONG

College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao, 266510, China

Search for more papers by this author

, and

JINYUAN LIU

College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao, 266510, China

Search for more papers by this author

https://doi.org/10.1142/S0217984908016571Cited by:0 (Source: Crossref)

Abstract

By using the variational identity, the Hamiltonian structures of the C-KdV hierarchy, integrable couplings of C-KdV hierarchy, (2+1)-dimensional C-KdV hierarchy as well as the multi-component integrable system are obtained.

Keywords:

PACS: 02.30.IK

References

G.-Z. Tu, J. Math. Phys. 30(2), 330 (1989), DOI: 10.1063/1.528449. Crossref, Web of Science, ADS, Google Scholar
W.-X. Ma, Chinese J. Contemp. Math. 13(1), 79 (1992). Web of Science, Google Scholar
G.-Z. Tu and W.-X. Ma, J. Partial Differential Equations 3(2), 53 (1992). Web of Science, Google Scholar
W.-X. Ma, J. Phys. A 25, 719 (1992), DOI: 10.1088/0305-4470/25/12/003. Crossref, Google Scholar
X.-B. Hu, J. Phys. A 27, 2497 (1994), DOI: 10.1088/0305-4470/27/7/026. Crossref, ADS, Google Scholar
F.-K. Guo, Acta Mathematica Phys. Sin. 19(5), 507 (1999). Web of Science, Google Scholar
W.-X. Ma and B. Fuchssteiner, Chaos, Soliton and Fractals 7, 1227 (1996), DOI: 10.1016/0960-0779(95)00104-2. Crossref, Web of Science, ADS, Google Scholar
Y.-F. Zhang, H.-Q. Zhang and Q.-Y. Yan, Phys. Lett. A 299, 543 (2002), DOI: 10.1016/S0375-9601(02)00676-X. Crossref, Web of Science, ADS, Google Scholar
H. H. Dong and N. Zhang, Commun. Theor. Phys. 44, 997 (2005). Crossref, Web of Science, ADS, Google Scholar
W.-X. Ma, Phys. Lett. A 316, 72 (2003), DOI: 10.1016/S0375-9601(03)01137-X. Crossref, Web of Science, ADS, Google Scholar
Y.-P. Sun and X.-X. Xu, J. Qingdao University 3, 35 (2002). Web of Science, Google Scholar
W. X. Ma, J. Phys. A 40, 15055 (2007), DOI: 10.1088/1751-8113/40/50/010. Crossref, ADS, Google Scholar
F.-K. Guo and Y.-F. Zhang, J. Phys. A: Math. Gen. 38, 8537 (2005), DOI: 10.1088/0305-4470/38/40/005. Crossref, ADS, Google Scholar
W. X. Ma, X. X. Xu and Y. Zhang, J. Math. Phys. 47, 053501 (2006), DOI: 10.1063/1.2194630. Crossref, Web of Science, Google Scholar
W. X. Ma, X. X. Xu and Y. Zhang, Phys. Lett. A 351, 125 (2006), DOI: 10.1016/j.physleta.2005.09.087. Crossref, Web of Science, ADS, Google Scholar
W. X. Ma and M. Chen, J. Phys. A 39, 10787 (2006), DOI: 10.1088/0305-4470/39/34/013. Crossref, Google Scholar

Vol. 22, No. 20

Metrics

Downloaded 16 times

History

Received 29 November 2007

Revised 7 May 2008

Keywords

PDF download

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

CONSTRUCTING INTEGRABLE COUPLINGS FOR THE C-KdV HIERARCHY

Abstract

Recommended