Ordinary second-order differential equations and soliton solutions connected with the algebra sl(2,\({\mathbb{C}})\). (English) Zbl 0598.34026
For nonlinear equations describing chiral fields, explicit expressions for solutions are obtained in the case of an arbitrary number of poles and their multiplicities.
MSC:
| 34C05 | Topological structure of integral curves, singular points, limit cycles of ordinary differential equations |
| 34A34 | Nonlinear ordinary differential equations and systems |
References:
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| [4] | Cherednik, I.V., VINIII book Itogi Nauki i techniki, Ser. Sovremennie problemi mathematiki 17, 175 (1981). |
| [5] | Leznov, A.N., Man’ko, V.I., and Chumakov, S.M., ?Soliton Solutions for Chiral Dynamical Systems?, preprint PhIAN, (1984). |
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| [7] | Leznov, A.N. in Proceedings of 2nd Conference on Linear Processes in Physics and Turbulence, Kiev (1983), Gordon and Breach, to appear. |
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