
doi: 10.1007/bf00670818
We show that the hyperbolic complex numbers or double numbers can be used to generate solutions of two-dimensional Minkowskian sigma models with values on noncompact manifolds.
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Applications of global analysis to the sciences, two-dimensional Minkowskian sigma models, hyperbolic complex numbers, Constructive quantum field theory, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Applications of global analysis to the sciences, two-dimensional Minkowskian sigma models, hyperbolic complex numbers, Constructive quantum field theory, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
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