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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...
More than thirty years passed since the first discoveries of various aspects of integrability of the symmetry reduced vacuum Einstein equations and electrovacuum Einstein - Maxwell equations were made...
More than thirty years passed since the first discoveries of various aspects of integrability of the symmetry reduced vacuum Einstein equations and electrovacuum Einstein- Maxwell equations were made...
We shall present here a general apt technique to induce connections along bundle reductions which is different from the standard restriction. The technique is a generalization of the mechanism presen...
2001Vol.36No.4pp.385-390DOI: New Similarity Reductions and Compacton Solutions for Boussinesq-Like Equations with Fully Nonlinear Dispersion YAN Zhen-Ya Department of Ap...
2001Vol.36No.1pp.1-6DOI: Symmetry Reductions, Integrability and Solitary Wave Solutions to High-Order Modified Boussinesq Equations with Damping Term YAN Zhen-Ya, XIE Fu-Ding and ...
2001Vol.35No.5pp.523-526DOI: Bäcklund Transformation and Similarity Reductions of Nonlinear Partial Differential Equations Using Extended Homogeneous Balance Method FAN En-...
2007Vol.47No.1pp.155-160DOI: Multiple Soliton-Like Solutions and Similarity Reductions of a Spherical Kadomtsev-Petviashvili Equation from Plasma Physics LI Ye-Zhou,1,2 LIU Jian-G...
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.2pp.231-235DOI: Reductions to Korteweg-de Vries Soliton Hierarchy CHEN Jin-Bing,1,2 TAN Rui-Mei,3 and GENG Xian-Guo2 1 Department of Mathematics, Southeast ...
2006Vol.45No.1pp.29-32DOI: Symmetry Reductions and Explicit Solutions for a Generalized Zakharov-Kuznetsov Equation YAN Zhi-Lian and LIU Xi-Qiang School of Mathematical ...
2003Vol.39No.1pp.6-8DOI: Conditional Similarity Reductions of Jimbo-Miwa Equation via the Classical Lie Group Approach TANG Xiao-Yan1 and LIN Ji1,2 1 Physics Department,...
2005Vol.43No.5pp.861-866DOI: Symmetry Reductions of Two-Dimensional Variable Coefficient Burgers Equation ZHANG Xiao-Ling1 and LI Biao1,2 1 Department of Applied Mathema...
2004Vol.42No.6pp.903-908DOI: Similarity Reductions of Barotropic and Quasi-geostrophic Potential Vorticity Equation HUANG Fei Laboratory of Physical Oceanography, Ocean...
2005Vol.43No.1pp.1-8DOI: Generalized Toda Mechanics Associated with Loop Algebras L(Cr) and L(Dr) and Their Reductions YANG Zhan-Ying,1 ZHAO Liu,2 LIU Wang-Yun,3and SHI ...

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