A Finite-Dimensional Completely Integrable System Associated with Boussinesq Hierarchy-中国Betway体育网页登陆

摘要 Inthispaper,anewcompletelyintegrablesystemrelatedtothecomplexspectralproblem—φ_(xx)+(i/4)uφ_x+(i/4)(uφ)_x+(1/4)vφ=iλφ_xandtheconstrainedBowsoftheBoussinesqequationsaregenerated.AccordingtotheviewpointofHamiltonianmechanics,theEuler-LagrangeequationsandtheLegendretransformations,areasonableJacobi-Ostrogradskycoordinatesystemisobtained.Moreover,bymeansoftheconstrainedconditionsbetweenthepotentialu,vandtheeigenfunctionφ,theinvolutiverepresentationsofthesolutionsfortheBoussinesqequationhierarchyaregiven.

1张玉峰.An integrable Hamiltonian hierarchy, a highdimensional loop algebra and associated integrable coupling system.物理,2003-11.
2YU Fa-Jun.On （2＋1）-Dimensional Non-isospectral Toda Lattice Hierarchy and Integrable Coupling System.物理,2008-03.
3J.M. Soriano.SHARED VALUE IN A FINITE-DIMENSIONAL BANACH MANIFOLD.基础数学,2010-05.
4CHENQINGHUI ZHANGBAOCAI.THE NEW INTEGRABLE SYSTEM OF THE COMPLEX FORM AND THECOUPLED MKDV HIERARCHY.基础数学,1997-01.
5Huanhe Dong.A （2＋1）-Dimensional Dispersive Long Wave Hierarchy and its Integrable Couplings.基础数学,2007-02.
6XIATie-Cheng;CHENXiao-Hong;CHENDeng-Yuan;ZHANGYu-Feng.Integrable Couplings of the Coupled Burgers Hierarchy.物理,2004-02.
7Shuo Feng;Fajun Yu.A NEW DISCRETE INTEGRABLE COUPLING SYSTEM AND ITS HAMILTONIAN STRUCTURE FOR THE MODIFIED TODA LATTICE HIERARCHY.基础数学,2015-03.
8胡星标;李勇;刘启铭.NONLINEAR SUPERPOSITION FORMULA OF THE BOUSSINESQ HIERARCHY.基础数学,1993-01.
9JIANG Qiao-Yun;ZHOU Ru-Guang.Hierarchy of Combined TL-RTL Equations and an Associated （2＋l）-Dimensional Lattice Equation.物理,2006-05.
10CHEN Lan-Xin;SUN Ye-Peng;ZHANG Jun-Xian.High-Order Binary Symmetry Constraints of a Liouville Integrable Hierarchy and Its Integrable Couplings.物理,2008-03.

A Finite-Dimensional Completely Integrable System Associated with Boussinesq Hierarchy

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