Bicomplexes and finite Toda lattices
Aristophanes Dimakis, Folkert Muller-Hoissen
TL;DR
This paper links bicomplex structures to finite Toda lattices and Toda field theories, providing a straightforward method to derive conserved currents and charges.
Contribution
It introduces a novel association between bicomplexes and finite Toda systems, enabling simple iterative derivation of conserved quantities.
Findings
Conserved currents are systematically obtained from bicomplex structures.
Finite Toda lattices are effectively described using bicomplexes.
The approach simplifies the derivation of conserved charges.
Abstract
We associate bicomplexes with the finite Toda lattice and with a finite Toda field theory in such a way that conserved currents and charges are obtained by a simple iterative construction.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Algebraic structures and combinatorial models