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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Bibliographic Details
Published inActa mathematica scientia Vol. 37; no. 4; pp. 1151 - 1161
Main Author 李传忠
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.07.2017
Subjects
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Lax equation
Lax对
Möbius-Toda equation
Möbius-Toda hierarchy
soliton solutions
tau function
tau蛋白
可积性
可积方程
哈密顿结构
孤立子解
构造
Lax equation
tau function
37K05
37K20
Möbius-Toda equation
Möbius-Toda hierarchy
37K10
soliton solutions
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ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(17)30063-2

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Summary: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.
Bibliography: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）
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(17)30063-2