N-Fold Darboux Transformation and Soliton Solutions for Toda Lattice Equation

In this paper, Toda lattice equation is investigated via Darboux transformation (DT) technique. The N-fold DT for Toda lattice equation is constructed basing on its Lax representation. The 2N -soliton solutions are also derived via the resulting DT. Soliton structures and interaction behavior of those solutions are shown graphically, which might be helpful for understanding the propagation of nonlinear waves in fluid and ergodic theory.