Integrable couplings,bi‐integrable couplings and their Hamiltonian structures of the Giachetti–Johnson soliton hierarchy |
| |
Authors: | Ya‐Ning Tang Lei Wang Wen‐Xiu Ma |
| |
Institution: | 1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi 710129, China;2. Department of Mathematics, University of South Florida, Tampa, FL 33620‐5700, U.S.A. |
| |
Abstract: | On the basis of zero curvature equations from semi‐direct sums of Lie algebras, we construct integrable couplings of the Giachetti–Johnson hierarchy of soliton equations. We also establish Hamiltonian structures of the resulting integrable couplings by the variational identity. Moreover, we obtain bi‐integrable couplings of the Giachetti–Johnson hierarchy and their Hamiltonian structures by applying a class of non‐semisimple matrix loop algebras consisting of triangular block matrices. Copyright © 2014 John Wiley & Sons, Ltd. |
| |
Keywords: | semi‐direct sums of Lie algebras zero curvature equations integrable coupling bi‐integrable coupling Hamiltonian structure |
|
|