Abstract
The auto-Bäcklund property of the Darboux matrices for AKNS systems is proved. A quite general form of the theorem of permutability is obtained in a universal way.
Similar content being viewed by others
References
Wedati, M., Sanuki, H., and Konno, K., ‘Relationships Among Inverse Method, Bäcklund Transformations and Infinite Number of Conservation Laws’, Prog. Theoret. Phys. 53, 418–436 (1975).
Rogers, C. and Shadwick, W. R., Bäcklund Transformations and their Applications, Academic Press, New York, 1982.
Li, Y. S., ‘Gauge Transformations, Bäcklund Transformation and Nonlinear Superposition Laws’, to appear in Adv. Math.
Tien, C., ‘Bäcklund Transformation of Nonlinear Evolution Equations’, Acta Math. Appl. Sinica (1986).
Gu, C. H. and Hu, H. S., ‘A Unified Explicit Form of Bäcklund Transformations for Generalized Hierarchies of KdV Equations’, Lett. Math. Phys. 11, 325–335 (1986).
Gu, C. H., ‘On the Bäcklund Transformations for the Generalized Hierarchies of Compound MKdV-SG Equations’, Lett. Math. Phys. 12, 31–41 (1986).
Zhou, M. R., ‘The Darboux Transformations for AKNS Eigenvalue Problems and Knap-Newell Eigenvalue Problems’, Preprint of Chinese Univ. of Science and Technology, 1985.
Author information
Authors and Affiliations
Additional information
The work is supported by the Science Fund of the Chinese Academy of Sciences.
Rights and permissions
About this article
Cite this article
Chaohao, G., Zixiang, Z. On the Darboux matrices of Bäcklund transformations for AKNS systems. Lett Math Phys 13, 179–187 (1987). https://doi.org/10.1007/BF00423444
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00423444