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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.
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...
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.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...
2006Vol.45No.3pp.385-388DOI: A New Loop Algebra and Its Corresponding Multi-component Integrable Hierarchy YAO Yu-Qin and CHEN Deng-Yuan Department of Mathematics, Shang...
2005Vol.44No.6pp.990-996DOI: Multi-component Levi Hierarchy and Its Multi-component Integrable Coupling System XIA Tie-Cheng,1 YOU Fu-Cai,1 and ZHAO Wen-Ying2 1 Departme...
2005Vol.44No.5pp.793-798DOI: Generalized Multi-component TC Hierarchy and ItsMulti-component Integrable Coupling System XIA Tie-Cheng and YOU Fu-Cai Department of Mathem...
2003Vol.40No.1pp.127-128DOI: Comment on “A Hierarchy of Integrable Nonlinear Lattice Equations and New Integrable Symplectic Map” CHEN Deng-Yuan and ZHANG Da-Jun Departm...
2004Vol.42No.6pp.807-810DOI: Multi-component SC Lax Integrable Hierarchy of Soliton Equations and Its Multi-component Integrable Coupling System with Two Arbitrary Functions XIA T...
2004Vol.42No.4pp.494-496DOI: Multi-component C-KdV Hierarchy of Soliton Equations and Its Multi-component Integrable Coupling System XIA Tie-Cheng,1,2 YU Fa-Jun,1,2 and CHEN Deng-...

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