A new simple loop algebra G M is constructed, which is devoted to establishing an isospectral problem. By making use of Tu scheme, the multi-component C-KdV hie
We generalize the algebraic method presented by Fan [J. Phys. A: Math. Gen. 36 (2003) 7009)] to uniformly construct a series of soliton-like solutions and doubl
For each of the Lie algebras gln and gl~n., we construct a family of integrable generalizations of the Toda chains characterized by two integers m+ and m-. The L
From the variable separation solution and by selecting appropriate functions, a new class of localized coherent structures consisting of solitons in various typ