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THE COMPLETELY INTEGRABLE SYSTEMS OF THE COMPLEX FORM AND THE COUPLED AKNS-KAUP-NEWELL EQUATION HIERARCHY

THE COMPLETELY INTEGRABLE SYSTEMS OF THE COMPLEX FORM AND THE COUPLED AKNS-KAUP-NEWELL EQUATION HIERARCHY
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摘要 In this paper, the coupled AKNS-Kaup-Newell equation hierarchy are obtained by means of the new spectral problem. By means of the complex representation of the standard symplect form on R4N, and the constraint relations between the potential and the wave functions, the new completely integrable systems of the complex form are got. Therefore, the involutive solutions of the coupled AKNS-Kaup-Newell equation hierarchy are given. In this paper, the coupled AKNS-Kaup-Newell equation hierarchy are obtained by means of the new spectral problem. By means of the complex representation of the standard symplect form on R4N, and the constraint relations between the potential and the wave functions, the new completely integrable systems of the complex form are got. Therefore, the involutive solutions of the coupled AKNS-Kaup-Newell equation hierarchy are given.
作者 张保才
机构地区 石家庄铁道学院
出处 《Annals of Differential Equations》 1997年第4期408-418,共11页 微分方程年刊(英文版)
关键词 The Lax pairs the Hamiltonian equation the involutive solution The Lax pairs, the Hamiltonian equation, the involutive solution
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