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51.
赵临龙 《数学的实践与认识》2010,40(8)
对于Riccati方程:dy/dx+ay~2=bx~m(a,b,m为常数,且ab≠0)(1)给出积充分条件:m=0,-2,-4k/(2k+1),-4k/(2k-1)(k=1,2,…)(2)的一种求法. 相似文献
52.
Based on fractional isospectral problems and general bilinear forms, the gener-alized fractional trace identity is presented. Then, a new explicit Lie algebra is introduced for which the new fractional integrable couplings of a fractional soliton hierarchy are derived from a fractional zero-curvature equation. Finally, we obtain the fractional Hamiltonian structures of the fractional integrable couplings of the soliton hierarchy. 相似文献
53.
Li Zhu Dong Huanhe 《Annals of Differential Equations》2007,23(2):165-172
Under the frame of the(2 1)-dimensional zero curvature equation and Tu model,(2 1)-dimensional Tu hierarchy is obtained.Again by employing a subalgebra of the loop algebra ■_2 the integrable coupling system of the above hierarchy is presented.Finally,A multi-component integrable hierarchy is ob- tained by employing a multi-component loop algebra ■_M. 相似文献
54.
A type of new loop algebra $\tilde{G}_M$ is constructed by making use of
the concept of cycled numbers. As its application, an isospectral problem is
designed and a new multi-component integrable hierarchy with multi-potential
functions is worked out, which can be reduced to the famous KN hierarchy. 相似文献
55.
Starting from a discrete spectral problem, a hierarchy of integrable lattice soliton equations is derived. It is shown that the hierarchy is completely integrable in the Liouville sense and possesses discrete bi-Hamiltonian structure. A new integrable
symplectic map and finite-dimensional integrable systems are given
by nonlinearization method. The binary Bargmann constraint gives
rise to a Bäcklund transformation for the resulting
integrable lattice equations. At last, conservation laws of the
hierarchy are presented. 相似文献
56.
A set of new multi-component matrix Lie algebra is constructed, which is devoted to obtaining a new loop algebra A-2M. It follows that an isospectral problem is established. By making use of Tu scheme, a Liouville integrable multi-component hierarchy of soliton equations is generated, which possesses the multi-component Hamiltonian structures. As its reduction cases, the multi-component C-KdV hierarchy is given. Finally, the multi-component integrable coupling system of C-KdV hierarchy is presented through enlarging matrix spectral problem. 相似文献
57.
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
58.
<正>A new coupled integrable dispersionless equation is presented by considering a spectral problem.A Darboux transformation for the resulting coupled integrable dispersionless equation is constructed with the help of spectral problems.As an application,the N-soliton solution of the coupled integrable dispersionless equation is explicitly given. 相似文献
59.
本文就如何在Authorware平台开发《船舶辅机》课程多媒体课件,将现代教育技术与学科教学有机地结合起来。最大限度地提高学生学习兴趣和主观能动性进行了探讨。 相似文献
60.