Construction of exact solutions to the Ruijsenaars–Toda lattice via generalized invariant manifolds
Construction of exact solutions to the Ruijsenaars–Toda lattice via generalized invariant manifolds
Abstract The article discusses a new method for constructing particular solutions of nonlinear integrable lattices, based on the concept of a generalized invariant manifold (GIM). In contrast to the finite-gap integration method, instead of the eigenfunctions of the Lax operators, we use a joint solution of the linearized equation and …