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SOLVING AKNS EQUATIONS VIA JACOBI INVERSION PROBLEM 被引量:2

SOLVING AKNS EQUATIONS VIA JACOBI INVERSION PROBLEM
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摘要 By using Lax representation, we study the separation of variables for x- and tn-finitedimensional integrable Hamiltonian system (FDIHS) obtained from the factorization of AKNShierarchy. Then the separability of X- and tn-FDIHS and the factorization of AKNS hierarchy give rise to the Jacobi inversion problem for soliton equations in AKNS hierarchy. By a standard Jacobi inversion technique, the soliton equations can be solved in terms of Riemann theta function. By using Lax representation, we study the separation of variables for x- and tn-finitedimensional integrable Hamiltonian system (FDIHS) obtained from the factorization of AKNShierarchy. Then the separability of X- and tn-FDIHS and the factorization of AKNS hierarchy give rise to the Jacobi inversion problem for soliton equations in AKNS hierarchy. By a standard Jacobi inversion technique, the soliton equations can be solved in terms of Riemann theta function.
作者 曾云波
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1999年第4期337-344,共8页 应用数学学报(英文版)
关键词 Separation of variables Jacobi inversion problem soliton equation FACTORIZATION Separation of variables, Jacobi inversion problem, soliton equation, factorization
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