摘要:

It is shown that general solution of the Universal Equation inn-dimensional space is closely connected with an exactly (but only implicitly) integrable system(0.01)

ISSN:1402-9251    

DOI:10.2991/jnmp.1994.1.4.1

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

摘要:

We consider the Hamiltonian system which is invariant under locally Hamiltonian (non-Poissonian) action of torus. We show that when a certain set of conditions is satisfied the majority of motions in a sufficiently small neighbourhood of system’s relative equilibrium are quasi-periodic and cover coisotropic invariant tori.

ISSN:1402-9251    

DOI:10.2991/jnmp.1994.1.4.2

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

摘要:

We do a Lie symmetry classification for a system of two nonlinear coupled Schrödinger equations. Our system under consideration is a generalization of the equations which follow from the analysis of optical fibres. Reductions of some special equations are given.

ISSN:1402-9251    

DOI:10.2991/jnmp.1994.1.4.3

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

摘要:

New concepts of economics such as an average demand matrix of society, strategy of a firm and consumer behaviour, and others are introduced. We give sufficient conditions for technological mapping under which there exist both the Walras equlibrium state and optimal Walras equilibrium one. We obtain the set of equations which equilibrium price vector solves. The theory of interindustry economic equilibrium is developed. The model of economy with regular interests of consumers is proposed.

ISSN:1402-9251    

DOI:10.2991/jnmp.1994.1.4.4

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

摘要:

It is shown that eigenvectors of the recursion operatorLwith the eigenvalueλiand the inverse of the recursion operatorLi≡ L−λifor the coupled KdV hierarchy (CKdVH) can be obtained in terms of squared eigenfunctions of the associated linear problem. The symmetry structure and corresponding infinite dimensional Lie algebras of CKdVH are also given. Using both the local and nonlocal symmetries of CKdVH, one can obtain some exact group invariant solutions and various new infinite-dimensional and finite-dimensional integrable models.

ISSN:1402-9251    

DOI:10.2991/jnmp.1994.1.4.5

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

摘要:

Aq-deformation of the dressing operator introduced by Sato is suggested. It is shown that it producesq-deformation of known integrable heirarchies, with the infinite number of conservation laws. A modification introduced by Kupershmidt when incorporated leads to both modified and deformed integrable systems.

ISSN:1402-9251    

DOI:10.2991/jnmp.1994.1.4.6

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

摘要:

A symmetry constraint for the MKdV integrable hierarchy is presented by binary nonlinearization. The spatial and temporal parts of the Lax pairs and adjoint Lax pairs of MKdV equations are all constrained as finite-dimensional Liouville integrable Hamiltonian systems, whose integrals of motion are explicitly given. In terms of the proposed symmetry constraint, MKdV equations are decomposed into two finite-dimensional Liouville integrable constrained systems and thus a kind of separation of variables for MKdV equations is established.

ISSN:1402-9251    

DOI:10.2991/jnmp.1994.1.4.7

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor