Explicit Integrability of the Generalised Ladder Problem(General)

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概要

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• We provide the explicit solution of the n-dimensional generalised ladder system, that is the homogeneous quadratic system of first-order differential equations of the form x^^・_i=x_iΣ^n_<j=1>a_<ij>x_j, i=1,n, where (a_<ij>)=(1+a_i-a_j), i,j=1,n introduced by Imai and Hirata [J. Phys. Soc. Jpn. 72 (2003) 973]. These systems are characterised by the n^2-1 symmetries Y^l_m=x_mu^<a_l-a_m-1>(Σ^n_<j=1>x_∂_<x_J>-u∂_<x_1>), but are not the most general systems invariant under these symmetries. The more general systems are called hyperladder systems and we discuss their integrability.

• 社団法人日本物理学会の論文
• 2007-05-15

著者

• Leach P.

  School Of Mathematical Sciences University Of Kwazulu-natal

• ANDRIOPOULOS K.

  Centre for Research and Applications in Nonlinear Systems and Department of Mathematics, University

• Andriopoulos K.

  Centre For Research And Applications In Nonlinear Systems And Department Of Mathematics University O

関連論文

• Explicit Integrability of the Generalised Ladder Problem(General)

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