Abstract
We establish in this paper an infinite dimensional Lie algebraic structure of the integrable hamiltonion system associated with.G.J and it gauge equivalent Yang equation. since the recursion operator associated with these two systems are not hereditary, a new approach is needed which make no use the hereditary property.
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References
Giachetti, R; Johnson,R. phys. lett. 102A (1984) 81.
Yang, C.N. Commun. math. phys. 112 (1987) 205.
Li Yi-shen. The integrable system associatod with G.J.equation and its gange. equivalent Yang equation to appear in Kexue Tongbao (1989).
Li Yi-shen. Zeng Yun-bo. on some properties of G.J equation and its gauge equivalent Yang equation.to be published.
Li Yi-shen Zhu. G.C. a) J.phys math Gen 19, (1986) 3713, b) scientia sinica vol XXX (1987) 1243.
Stramp, W, Olver W. Prog. Theor. Phys. 74 (1985) 922.
Fuchssteiner. A.S Fokas, Physica 4D (1981) 47.
Li Yi-shen. Comment on some agebraic properties of the gauge equivalent soliton equations. to be published.
Tu Gui-zhang. Lie algebraic structure of N × N nonisospctral AKNS hierarchy. preprint.
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© 1990 Springer-Verlag Berlin, Heidelberg
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Li, Y., Cheng, Y., Zeng, Y. (1990). A Lie Algebraic Structure of G.J. and Its Gauge Equivalent Yang Hierarchies. In: Gu, C., Li, Y., Tu, G., Zeng, Y. (eds) Nonlinear Physics. Research Reports in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84148-4_7
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DOI: https://doi.org/10.1007/978-3-642-84148-4_7
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