Abstract
Abstract A simple efficient method for obtaining integrable hierarchies of evolution equations with multi-potential functions is proposed. By making use of the concept of cycled numbers, a new loop algebra A ∼ 1 ∗ is constructed. Taking account of applicable convenience, a few subalgebras of the loop algebra A ∼ 1 ∗ are presented again, from one of them, two new integrable Hamiltonian hierarchies with multi-potential functions are obtained. Finally, a 3 × 3 loop algebra G ∼ with five dimensions is established, from which a coupled integrable coupling system of one of the above integrable hierarchies is derived. The approach presented in this paper can be used generally.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
