Abstract:

Two high-dimensional Lie algebras Hand E and the corresponding loop algebras  and are introduced. By taking advantage of  and , two types of coupling integrable couplings of the new hierarchy are obtained.  The coupling integrable couplings of the new hierarchy obtained can be reduced to two types of the coupling integrable couplings of the dispersive long wave DLW equation.

Key words: loop algebra; integrable couplings; DLW equation