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SYMMETRY CONSTRAINT OF THE LEVI EQUATIONS BY BINARY NONLINEARIZATION |
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| Institution: | 1. Waseda Research Institute for Science and Engineering, Waseda University, Tokyo 169-8555, Japan;2. PRESTO, Japan Science and Technology Agency, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan;3. Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, Tokyo 169-8555, Japan;4. ESICB, Kyoto University, Kyotodaigaku-Katsura, Nishigyoku, Kyoto 615-8520, Japan |
| Abstract: | In this paper, the translation of the Lax pairs of the Levi equations is presented. Then a symmetry constraint for the Levi equations is given by means of binary nonlinearization method. The spatial part and the temporal parts of the translated Lax pairs and its adjoint Lax pairs of the Levi equations are all constrainted as finite dimensional Liouville integrable Hamiltonian systems. Finally, the involutive solutions of the Levi equations are presented. |
| Keywords: | Zero curvature representation Lax pair nonlinearization method Liouville integrable system 35Q51 58F05 |
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