The semidirect sum of Lie algebras and its applications to C-KdV hierarchy
Summary: By use of the loop algebra \(\overset\simeq G\), integrable coupling of C-KdV hierarchy and its bi-Hamiltonian structures are obtained by \textit{G. Tu} scheme [J. Math. Phys. 30, No. 2, 330--338 (1989; Zbl 0678.70015)] and the quadratic-form identity. The method can be used to produce the integrable coupling and its Hamiltonian structures to the other integrable systems.
scientific article; zbMATH DE number 7022110