Three semi-direct sum Lie algebras and three discrete integrable couplings associated with the modified KdV lattice equation [0.03%]
三个半直和李代数及与修正KdV格子方程相关的三个离散可积耦合系统
Zhang Yu,Yufeng Zhang
Zhang Yu
Three semi-direct sum Lie algebras are constructed, which is an efficient and new way to obtain discrete integrable couplings. As its applications, three discrete integrable couplings associated with the modified KdV lattice equation are wo...
The applications of a higher-dimensional Lie algebra and its decomposed subalgebras [0.03%]
一个高维李代数及其分解子代数的应用
Zhang Yu,Yufeng Zhang
Zhang Yu
With the help of invertible linear transformations and the known Lie algebras, a higher-dimensional 6 x 6 matrix Lie algebra smu(6) is constructed. It follows a type of new loop algebra is presented. By using a (2 + 1)-dimensional partial-d...
Semi-orthogonal Frame Wavelets and Parseval Frame Wavelets Associated with GMRA [0.03%]
与GMRA相关的半正交框架小波和Parseval框架小波
Zhanwei Liu,Guoen Hu,Guochang Wu et al.
Zhanwei Liu et al.
In this paper, we study semi-orthogonal frame wavelets and Parseval frame wavelets(PFWs) in L(2)(R(d)) with matrix dilations of form (Df)(x)=2f(Ax), where A is an arbitrary expanding d x d matrix with integer coefficients, such that |detA| ...
S Havlin,S V Buldyrev,A L Goldberger et al.
S Havlin et al.
Our purpose is to describe some recent progress in applying fractal concepts to systems of relevance to biology and medicine. We review several biological systems characterized by fractal geometry, with a particular focus on the long-range ...