Publication: A classification of integrable quasiclassical deformations of algebraic curves
Loading...
Official URL
Full text at PDC
Publication Date
2006-08-08
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
IOP Publishing
Citations
Exportar
Abstract
A previously introduced scheme for describing integrable deformations of algebraic curves is completed. Lenard relations are used to characterize and classify these deformations in terms of hydrodynamic-type systems. A general solution of the compatibility conditions for consistent deformations is given and expressions for the solutions of the corresponding Lenard relations are provided.
Description
©IOP Publishing .
The authors wish to thank Prof. Y. Kodama for his interest and help during the elaboration of this work.
UCM subjects
Unesco subjects
Keywords
Citation
[1] S. P. Novikov, S. V. Manakov, L. P. Pitaevski and V. E. Zakharov Theory of solitons, Plenum, New York (1984).
[2] E. D. Belokolos, A. I. Bobenko , V. Z. Enolski, A. R. Its and V. B. Matveev, Algebro-Geometric approach to nonlinear integrable equations, Springer-Verlag, Berlin (1994).
[3] B. Dubrovin and S. Novikov, Russ. Math. Surv. 44(6), 35 (1989).
[4] H. Flaschka, M.G. Forest and D.W. Mclauglin , Commun. Pure Appl. Math 33, 739 (1980).
[5] B.A. Dubrovin, Commun. Math. Phys. 145, 415 (1992).
[6] I. M. Krichever, Funct. Anal. Appl. 22, 206 (1988).
[7] I. M. Krichever, Commun. Pure. Appl. Math. 47, 437 (1994).
[8] Y. Kodama and B.G. Konopelchenko, J. Phys. A: Math. Gen. 35, L489-L500 (2002);
[9] B.G. Konopelchenko and L. Mart´ınez Alonso, J. Phys. A: Math. Gen. 37, 7859 (2004).
[10] Y. Kodama, B.G. Konopelchenko and L. MartÃnez Alonso, Theor. Math. Phys. 144, 961 (2005)
[11] Y. Kodama, B.G. Konopelchenko, L. Mart´ınez Alonso and E. Medina, J. Math. Phys. 46 113502 (2005).
[12] B. L. van der Waerden,Algebra, Vol. I, Springer- Verlag, Berlin (1991).
[13] L. Redei, Introduction to algebra, Vol. I, Pergamon Press, Oxford (1967).
[14] R. Y. Walker, Algebraic Curves Springer-Verlag, Berlin (1978).
[15] S. S. Abhyankar, Algebraic Geometry for Scientists and Engineers, Mathematical Surveys and Monograps vol. 35, AMS (1990).