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Solitons and Inverse Scattering Transformation
- Publisher
- Springer Journals
- Copyright
- Copyright © 1999 by Science Press
- Subject
- Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/BF02684033
- Publisher site
- See Article on Publisher Site
Abstract
By using Lax representation, we study the separation of variables forx– andt n– finitedimensional integrable Hamiltonian system (FDIHS) obtained from the factorization of AKNS hierarchy. Then the separability ofx– andt n–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.
Journal
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jul 4, 2007