MOBIUS-TODA HIERARCHY AND ITS INTEGRABILITY
In this paper, we construct a new integrable equation called Mobius-Toda equation which is a generalization of q-Toda equation. Meanwhile its soliton solutions are constructed to show its integrable property. Further the Lax pairs of the Mobius-Toda equation and a whole integrable MSbius-Toda hierar...
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| Published in | Acta mathematica scientia Vol. 37; no. 4; pp. 1151 - 1161 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.07.2017
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0252-9602 1572-9087 |
| DOI | 10.1016/S0252-9602(17)30063-2 |
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| Abstract | In this paper, we construct a new integrable equation called Mobius-Toda equation which is a generalization of q-Toda equation. Meanwhile its soliton solutions are constructed to show its integrable property. Further the Lax pairs of the Mobius-Toda equation and a whole integrable MSbius-Toda hierarchy are also constructed. To show the integrability, the bi-Hamiltonian structure and tau symmetry of the MSbius-Toda hierarchy are given and this leads to the existence of the tau function. |
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| AbstractList | In this paper, we construct a new integrable equation called Möbius-Toda equation which is a generalization of q-Toda equation. Meanwhile its soliton solutions are constructed to show its integrable property. Further the Lax pairs of the Möbius-Toda equation and a whole integrable Möbius-Toda hierarchy are also constructed. To show the integrability, the bi-Hamiltonian structure and tau symmetry of the Möbius-Toda hierarchy are given and this leads to the existence of the tau function. In this paper, we construct a new integrable equation called Mobius-Toda equation which is a generalization of q-Toda equation. Meanwhile its soliton solutions are constructed to show its integrable property. Further the Lax pairs of the Mobius-Toda equation and a whole integrable MSbius-Toda hierarchy are also constructed. To show the integrability, the bi-Hamiltonian structure and tau symmetry of the MSbius-Toda hierarchy are given and this leads to the existence of the tau function. |
| Author | 李传忠 |
| AuthorAffiliation | Department of Mathematics, Ningbo University, Ningbo 315211, China |
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| Cites_doi | 10.1088/1751-8113/44/25/255201 10.1023/A:1007647722911 10.4310/SDG.1990.v1.n1.a5 10.1023/A:1007446005535 10.1088/0305-4470/39/30/003 10.1063/1.1590055 10.1186/1687-1847-2012-121 10.1007/s11232-015-0368-x 10.17323/1609-4514-2004-4-2-313-332 10.1007/s11401-011-0678-8 10.1088/0305-4470/29/23/034 10.1143/JPSJ.22.431 10.1080/14029251.2014.936761 10.2991/jnmp.2008.15.3.6 10.1142/S0129055X12300038 10.1016/j.chaos.2015.03.008 10.1063/1.3681205 10.1063/1.3316125 10.1063/1.531745 |
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| Keywords | Lax equation tau function 37K05 37K20 Möbius-Toda equation Möbius-Toda hierarchy 37K10 soliton solutions |
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| Notes | Mobius-Toda equation; soliton solutions; Lax equation; MSbius-Toda hierar-chy; tau function 42-1227/O In this paper, we construct a new integrable equation called Mobius-Toda equation which is a generalization of q-Toda equation. Meanwhile its soliton solutions are constructed to show its integrable property. Further the Lax pairs of the Mobius-Toda equation and a whole integrable MSbius-Toda hierarchy are also constructed. To show the integrability, the bi-Hamiltonian structure and tau symmetry of the MSbius-Toda hierarchy are given and this leads to the existence of the tau function. Chuanzhong LI （Department of Mathematics, Ningbo University, Ningbo 315211, China） |
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