×

A bilinear Bäcklund transformation and nonlinear superposition formula for the negative Volterra hierarchy. (English) Zbl 1133.37337

Summary: A bilinear Bäcklund transformation (BT) and the associated nonlinear superposition formula are found for the negative Volterra hierarchy. As an application of the obtained results, soliton solutions to the negative Volterra hierarchy are re-derived.

MSC:

37K35 Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
37K60 Lattice dynamics; integrable lattice equations
PDF BibTeX XML Cite
Full Text: DOI