Resumen de A Bäcklund transformation and nonlinear superposition formula for the Lotka-Volterra hierarchy

Johan Springael, Xing-Biao Hu

• A hierarchy of bilinear Lotka-Volterra equations with a unified structure is proposed. The bilinear Bäcklund transformation for this hierarchy and the corresponding canonical Lax pair are obtained. Furthermore, the nonlinear superposition formula is proved rigorously.