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THE SOLUTIONS OF THE BROER─KAUP SOLITON HIERARCHY AND COMPLEX INVOLUTIVE SYSTEMS

THE SOLUTIONS OF THE BROER─KAUP SOLITON HIERARCHY AND COMPLEX INVOLUTIVE SYSTEMS
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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
机构地区 石家庄铁路学院
出处 《Annals of Differential Equations》 1995年第1期117-125,共9页 微分方程年刊(英文版)
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