An implicit symmetry constraint of the modified Korteweg-de Vries （mKdV） equation

In this paper, an implicit symmetry constraint is calculated and its associated binary nonlinearization of the Lax pairs and the adjoint Lax pairs is carried out for the modified Korteweg-de Vries （mKdV） equation. After introducing two new independent variables, we find that under the implicit symme...

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Bibliographic Details
Published inJournal of Zhejiang University. A. Science Vol. 9; no. 10; pp. 1457 - 1462
Main Author Ying YOU Jing YU Qiao-yun JIANG
Format Journal Article
LanguageEnglish
Published 2008
Subjects
mKdV方程
可积分
哈密顿系统
约束条件
绝对对称
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Summary:In this paper, an implicit symmetry constraint is calculated and its associated binary nonlinearization of the Lax pairs and the adjoint Lax pairs is carried out for the modified Korteweg-de Vries （mKdV） equation. After introducing two new independent variables, we find that under the implicit symmetry constraint, the spatial part and the temporal part of the mKdV equation are decomposed into two finite-dimensional systems. Furthermore we prove that the obtained finite-dimensional systems are Hamiltonian systems and completely integrable in the Liouville sense.
Bibliography:Implicit symmetry constraint, Completely integrable Hamiltonian system, Modified Korteweg-de Vries （mKdV） equation
33-1236/O4
O175.2
ISSN:1673-565X
1862-1775