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nlin.SI2024
On trilinear and quadrilinear equations associated with the lattice Gel'fand-Dikii hierarchy
P. H. van der Kamp, F. W. Nijhoff, D. I. McLaren +1
Introduced in 2012, by Zhang, Zhao, and Nijhoff, the trilinear Boussinesq equation is the natural form of the equation for the -function of the lattice Boussinesq system. In thi…
nlin.SI2024
On a quadratic Poisson algebra and integrable Lotka-Volterra systems with solutions in terms of Lambert's W function
Peter H. van der Kamp, D. I. McLaren, G. R. W. Quispel
We study a class of integrable nonhomogeneous Lotka-Volterra systems whose quadratic terms are defined by an antisymmetric matrix and whose linear terms consist of three blocks. We…