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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >The Hamiltonian nonlocal invariant reduction of a Burgers equation and its Lie-algebraic structure
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The Hamiltonian nonlocal invariant reduction of a Burgers equation and its Lie-algebraic structure

机译:Burgers方程的哈密顿非局部不变约简及其李代数结构

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摘要

The Novikov-Bogoyavlensky type reduction procedure for a bi-Hamiltonian nonlinear system upon the submanifolds of crucial points for some invariant functionals, generating by local and nonlocal conservation laws, are represented. By means of the procedure a hydrodynamic Burgers equation is proven to be Hamiltonian and Lax integrable on an invariant nonlocal canonically symplectic manifold of its solutions. [References: 7]
机译:给出了由局部和非局部守恒定律生成的某些不变泛函的临界点子流形上的双哈密顿非线性系统的Novikov-Bogoyavlensky型还原过程。通过该程序,证明了流体动力学Burgers方程在其解的不变非局部正则辛流形上是Hamiltonian和Lax可积的。 [参考:7]

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