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On a formulation of certain integrable systems using hyperbolic numbers

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Publication:1612827
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DOI10.1016/S0375-9601(02)00958-1zbMath0997.37048MaRDI QIDQ1612827

James Hayes, Paul Bracken

Publication date: 4 September 2002

Published in: Physics Letters. A (Search for Journal in Brave)


zbMATH Keywords

evolution equationLax pairalgebraic properties


Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)


Related Items

Spinors in the hyperbolic algebra ⋮ Timelike minimal surfaces via loop groups ⋮ Integrable systems from inelastic curve flows in 2– and 3– dimensional Minkowski space ⋮ A formulation of L-isothermic surfaces in three-dimensional Minkowski space



Cites Work

  • Unnamed Item
  • \(n\)-dimensional hyperbolic complex numbers
  • \(n\)-dimensional dual complex numbers
  • Nonlinear-Evolution Equations of Physical Significance
  • Integrable Models
  • The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
  • Inflationary universe: A possible solution to the horizon and flatness problems
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