TY - JOUR TI - A Toda lattice hierarchy with variable coefficients and its multi-wave solutions AU - Zhang Sheng AU - Wang Di JN - Thermal Science PY - 2014 VL - 18 IS - 5 SP - 1563 EP - 1566 PT - Article AB - Starting from the Toda spectral problem, a new Toda lattice hierarchy of isospectral equations with variable coefficients is constructed through the discrete zero curvature equation. In order to solve one special case of the derived Toda lattice hierarchy, a series of appropriate transformations are utilized. As a result, a new uniform formula of N-wave solutions is obtained.