共查询到20条相似文献,搜索用时 15 毫秒
1.
XIATie-Cheng CHENXiao-Hong CHENDeng-Yuan ZHANGYu-Feng 《理论物理通讯》2004,42(2):180-182
In this letter, a new loop algebra G is constructed, from which a new isospectral problem is established. It follows that integrable couplings of the well-known coupled Burgers hierarchy are obtained. 相似文献
2.
A kind of integrable couplings of soliton equations hierarchy with self-consistent sources associated with \tilde{sl}(4) is presented by Yu. Based on this method, we construct a new integrable couplings of the classical-Boussinesq hierarchy with self-consistent sources by using of loop algebra \tilde{sl}(4). In this paper, we also point out that there exist some errors in Yu's paper and have corrected these errors and set up new formula. The method can be generalized other soliton hierarchy with self-consistent sources. 相似文献
3.
A kind of integrable couplings of soliton equations hierarchy with self-consistent sources associated with sl(4) is presented by Yu. Based on this method, we construct a new integrable couplings of the classical-Boussinesq hierarchy with self-consistent sources by using of loop algebra sl(4). In this paper, we also point out that there exist some errors in Yu's paper and have corrected these errors and set up new formula. The method can be generalized other soliton hierarchy with self-consistent sources. 相似文献
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5.
By using a Lie algebra, an integrable couplings of the classicai-Boussinesq hierarchy is obtained. Then, the Hamiltonian structure of the integrable couplings of the classical-Boussinesq is obtained by the quadratic-form identity. 相似文献
6.
DONG Huan-He SONG Ming WANG Xue-Lei LI Jian-Jun 《理论物理通讯》2008,49(5):1114-1118
A new and efficient way is presented for discrete integrable couplings with the help of two semi-direct sum Lie algebras. As its applications, two discrete integrable couplings associated with the lattice equation are worked out. The approach can be used to study other discrete integrable couplings of the discrete hierarchies of solition equations. 相似文献
7.
YAN Qing-You QI Jian-Xun 《理论物理通讯》2006,46(8)
Two types of Lie algebras are constructed, which are directly used to deduce the two resulting integrable coupling systems with multi-component potential functions. Many other integrable couplings of the known integrable systems may be obtained by the approach. 相似文献
8.
YAN Qing-You QI Jian-Xun 《理论物理通讯》2006,46(2):203-208
Two types of Lie algebras are constructed, which are directly used to deduce the two resulting integrable coupling systems with multi-component potential functions. Many other integrable couplings of the known integrable systems may be obtained by the approach. 相似文献
9.
Matrix Lie Algebras and Integrable Couplings 总被引:2,自引:0,他引:2
ZHANG Yu-Feng GUO Fu-Kui 《理论物理通讯》2006,46(5):812-818
Three kinds of higher-dimensional Lie algebras are given which can be used to directly construct integrable couplings of the soliton integrable systems. The relations between the Lie algebras are discussed. Finally, the integrable couplings and the Hamiltonian structure of Giachetti-Johnson hierarchy and a new integrable system are obtained, respectively. 相似文献
10.
ZHANG Yu-Feng GUO Fu-Kui 《理论物理通讯》2006,46(11)
Three kinds of higher-dimensional Lie algebras are given which can be used to directly construct integrable couplings of the soliton integrable systems. The relations between the Lie algebras are discussed. Finally, the integrable couplings and the Hamiltonian structure of Giachetti-Johnson hierarchy and a new integrable system are obtained, respectively. 相似文献
11.
We propose a method to construct the integrable Rosochatius deformations for an integrable couplings equations hierarchy. As applications, the integrable Rosochatius deformations of the coupled CKdV hierarchy with self-consistent sources and its Lax representation are presented. 相似文献
12.
CHEN Lan-Xin SUN Ye-Peng ZHANG Jun-Xian 《理论物理通讯》2008,49(3):540-544
A 3 × 3 matrix spectral problem and a Liouville integrable hierarchy are constructed by designing a new subalgebra of loop algebra A^-2. Furthermore, high-order binary symmetry constraints of the corresponding hierarchy are obtained by using the binary nonlinearization method. Finally, according to another new subalgebra of loop algebra A^-2, its integrable couplings are established. 相似文献
13.
By making use of the vector product in R3, a commuting operation is introduced so that R3 becomes a Lie algebra. The resulting loop algebra \tilde R3 is presented, from which the well-known AKNS hierarchy is produced. Again via applying the superposition of the commuting operations of the Lie algebra, a commuting operation in
R6 is constructed so that
R6 becomes a Lie algebra. Thanks to the corresponding loop algebra \tilde R3 of the Lie algebra R3, the integrable coupling of the AKNS
system is obtained. The method presented in this paper is rather
simple and can be used to work out integrable coupling systems of
the other known integrable hierarchies of soliton equations. 相似文献
14.
Two types of Lie algebras are presented, from which two integrable couplings associated with the Tu isospectral problem are obtained, respectively. One of them possesses the Hamiltonian structure generated by a linear isomorphism and the quadratic-form identity. An approach for working out the double integrable couplings of the same integrable system is presented in the paper. 相似文献
15.
Two types of Lie algebras are presented, from which two integrable
couplings associated with the Tu isospectral problem are obtained,
respectively. One of them possesses the Hamiltonian structure
generated by a linear isomorphism and the quadratic-form identity.
An approach for working out the double integrable couplings of the
same integrable system is presented in the paper. 相似文献
16.
A new simple loop algebra GM is constructed, which is devoted to establishing an isospectral problem.By making use of generalized Tu scheme, the multi-component SC hierarchy is obtained. Furthermore, an expanding loop algebra FM of the loop algebra GM is presented. Based on FM, the multi-component integrable coupling system of the multi-component SC hierarchy of soliton equations is worked out. How to design isospectral problem of mulitcomponent hierarchy of soliton equations is a technique and interesting topic. The method can be applied to other nonlinear evolution equations hierarchy. 相似文献
17.
A new isospectral problem is firstly presented, then we derive integrable system of soliton hierarchy. Also we obtain new integrable couplings of the eneralized Kaup--Newell soliton equations hierarchy and its Hamiltonian structures by using Tu scheme and the quadratic-form identity. The method can be
generalized to other soliton hierarchy. 相似文献
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19.
Based on a kind of Lie algebra G proposed by Zhang, one isospectral problem is designed. Under the framework of zero curvature equation, a new kind of integrable coupling of an equation hierarchy is generated using the methods proposed by Ma and Gao. With the help of variational identity, we get the Hamiltonian structure of the hierarchy. 相似文献
20.