摘要
In this paper, the Broer- Kaup equation[ ̄1,2,3] and its hierarchy are discussed. Further, using the nonlinearization ̄[4] of Lax pairs for the soliton equation, by means of the complex form of real standard symplectic construction, two complex finite dimensional Liouville completely integrable systems associated with Broer-Kaup hierarchy are obtained.So, the solutions of Broer-Kaup hierarchy are transformed into the solutions of Hamiltonian equations
In this paper, the Broer- Kaup equation[ ̄1,2,3] and its hierarchy are discussed. Further, using the nonlinearization ̄[4] of Lax pairs for the soliton equation, by means of the complex form of real standard symplectic construction, two complex finite dimensional Liouville completely integrable systems associated with Broer-Kaup hierarchy are obtained.So, the solutions of Broer-Kaup hierarchy are transformed into the solutions of Hamiltonian equations