to the linear eigenvalue problem associated with this equation, and obtain the multi-soliton solution with a purely …, although the amplitude, width and depth of soliton vary periodically with time and its symmetry property is changeable, the … soliton can also propagate stably and it possesses particle-like behavior. …

nonlinear Schrödinger hierarchy. The general explicit formula for N-soliton solution is derived in terms of Vandermonde …-like determinant expression. On the zero background, two different families of soliton solutions (multi-line soliton and multi …-parabola soliton solutions) are constructed by applying the Darboux transformation successively. Based on the figures for several …