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Two types of finite-variable reductions of the dispersionless Toda hierarchy are considered in the geometric perspectives. The reductions are formulated in terms of "Landau-Ginzburg potentials" that p...
In this paper, we present an explicit form in terms of end-point data for the classical action $S_{2n}$ evaluated on extremals satisfying the Hamilton-Jacobi equation for each member of a hierarchy of...
Abstract: In the paper we construct an hierarchy of integrable Hamiltonian systems which describe the variation of n-wave envelopes in nonlinear dielectric medium. The exact solutions for some special...
Without assuming necessary conditions for observers such as galaxies or entropy production, we show that the causal patch measure predicts the coincidence of vacuum energy and present matter density...
We employ a Lax pair representation of the two-component BKP hierarchy and construct its bihamiltonian structure with R-matrix techniques.
The \hbar-dependent KP hierarchy is a formulation of the KP hierarchy that depends on the Planck constant \hbar and reduces to the dispersionless KP hierarchy as \hbar -> 0. A recursive construction o...
2007Vol.48No.2pp.193-198DOI: A Discrete Spectral Problem and Related Hierarchy of Discrete Hamiltonian Lattice Equations XU Xi-Xiang1 and CAO Wei-Li2 1 College of Scienc...
2007Vol.47No.5pp.773-776DOI: Vector Loop Algebra and Its Applications to Tu Hierarchy WANG Yan College of Information Science and Engineering, Shandong University of Sci...
Discrete AKNS-D Hierarchy      discrete integrable system  AKNS-D hierarchy        font style='font-size:12px;'> 2007/8/15
2007Vol.47No.3pp.385-389DOI: Discrete AKNS-D Hierarchy WU Xiao-Ning Institute of Applied Mathematics, Academy of Mathematics and System Sciences, the Chinese Academy of ...
2002Vol.38No.6pp.641-648DOI: Integral-Type Darboux Transformations for the mKdV Hierarchy with Self-Consistent Sources ZENG Yun-Bo,1 SHAO Yi-Jun,1 and MA Wen-Xiu2 1 Depa...
2006Vol.46No.5pp.773-778DOI: Hierarchy of Combined TL-RTL Equations and an Associated (2+1)-Dimensional Lattice Equation JIANG Qiao-Yun1 and ZHOU Ru-Guang2 1 Department...
2002Vol.38No.5pp.523-528DOI: A Hierarchy of Integrable Nonlinear Lattice Equations and New Integrable Symplectic Map XU Xi-Xiang and DONG Huan-He Department of Basic Cou...
2002Vol.37No.3pp.269-276DOI: New Symmetry Reductions, Dromions-Like and Compacton Solutions for a 2D BS(m, n) Equations Hierarchy with Fully Nonlinear Dispersion YAN Zhen-Ya ...
2006Vol.45No.5pp.799-801DOI: Integrable Coupling of KN Hierarchy and Its Hamiltonian Structure GUO Fu-Kui and ZHANG Yu-Feng Information School, Shandong University of Sc...
2006Vol.45No.4pp.587-592DOI: New Matrix Lie Algebra, a Powerful Tool for Constructing Multi-component C-KdV Equation Hierarchy YU Fa-Jun and ZHANG Hong-Qing Department...

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