Li, Ling; Dong, Huanhe; Liu, Jinyuan Constructing integrable couplings for the C-KdV hierarchy. (English) Zbl 1154.37365 Mod. Phys. Lett. B 22, No. 20, 1903-1912 (2008). 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. MSC: 37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) 35Q53 KdV equations (Korteweg-de Vries equations) Keywords:integrable couplings; variational identity; Hamiltonian structure; \((2+1)\)-dimensional zero curvature equation; multi-component integrable hierarchy system PDFBibTeX XMLCite \textit{L. Li} et al., Mod. Phys. Lett. B 22, No. 20, 1903--1912 (2008; Zbl 1154.37365) Full Text: DOI References: [1] DOI: 10.1063/1.528449 · Zbl 0678.70015 · doi:10.1063/1.528449 [2] Ma W.-X., Chinese J. Contemp. Math. 13 pp 79– [3] Tu G.-Z., J. Partial Differential Equations 3 pp 53– [4] DOI: 10.1088/0305-4470/25/12/003 · Zbl 0754.35145 · doi:10.1088/0305-4470/25/12/003 [5] DOI: 10.1088/0305-4470/27/7/026 · Zbl 0838.58018 · doi:10.1088/0305-4470/27/7/026 [6] Guo F.-K., Acta Mathematica Phys. Sin. 19 pp 507– [7] DOI: 10.1016/0960-0779(95)00104-2 · Zbl 1080.37578 · doi:10.1016/0960-0779(95)00104-2 [8] DOI: 10.1016/S0375-9601(02)00676-X · Zbl 0996.37073 · doi:10.1016/S0375-9601(02)00676-X [9] DOI: 10.1088/6102/44/6/997 · doi:10.1088/6102/44/6/997 [10] DOI: 10.1016/S0375-9601(03)01137-X · Zbl 1042.37057 · doi:10.1016/S0375-9601(03)01137-X [11] Sun Y.-P., J. Qingdao University 3 pp 35– [12] DOI: 10.1088/1751-8113/40/50/010 · Zbl 1128.22014 · doi:10.1088/1751-8113/40/50/010 [13] DOI: 10.1088/0305-4470/38/40/005 · Zbl 1077.37045 · doi:10.1088/0305-4470/38/40/005 [14] DOI: 10.1063/1.2194630 · Zbl 1111.37059 · doi:10.1063/1.2194630 [15] DOI: 10.1016/j.physleta.2005.09.087 · Zbl 1234.37049 · doi:10.1016/j.physleta.2005.09.087 [16] DOI: 10.1088/0305-4470/39/34/013 · Zbl 1104.70011 · doi:10.1088/0305-4470/39/34/013 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.