Using undetermined coefficients and symbolic algebra, the author re-derives the known Darboux polynomials, first integrals, and invariant volume forms of the full Toda lattice without using Lax-pair theory.
Math.Phys., 183:2 (2015), 637-664
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On computation of Darboux polynomials for full Toda lattice
Using undetermined coefficients and symbolic algebra, the author re-derives the known Darboux polynomials, first integrals, and invariant volume forms of the full Toda lattice without using Lax-pair theory.