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In this paper,the Painlev’e properties of the modified C-KdV equation are verified by using the W-K algorithm.Then some exact soliton solutions are obtained by applying the standard truncated expansion method and the nonstandard truncated expansion method with the help of Maple software,respectively. 相似文献
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A new eight-dimensional Lie superalgebra and two corresponding hierarchies of evolution equations 下载免费PDF全文
A new eight-dimensional Lie superalgebra is constructed
and two isospectral problems with six potentials are designed.
Corresponding hierarchies of nonlinear evolution equations, as well
as super-AKNS and super-Levi, are derived. Their super-Hamiltonian
structures are established by making use of the supertrace identity,
and they are integrable in the sense of Liouville. 相似文献
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基于一个带有三个位势函数新的等谱问题,本文得到了一个带有任意函数的新的Lax可积族.当位势选取特殊函数时,得到了著名的Schrodinger方程,广义MkdV方程,热传导方程和耦合的Burgers方程及其Hamiltonian结构,并证明方程是Liouville可积的. 相似文献
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From a new Lie algebra proposed by Zhang, two expanding Lie algebras and its corresponding loop algebras are obtained. Two expanding integrable systems are produced with the help of the generalized zero curvature equation. One of them has complex Hamiltion structure with the help of generalized Tu formula (GTM). 相似文献
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A new Lax integrable hierarchy is obtained by constructing an isospectraJ problem with constrained conditions. Two kinds of integrable couplings are obtained by constructing two new expanding Lie algebras of the Lie algebra Be, respectively. 相似文献
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本给出了与[1]中的一个特征问题相关的一类演化方程的三类Darboux变换,并且也是Baecklund变换。 相似文献
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