Research Article Exact Multisoliton Solutions of General Nonlinear Schrödinger Equation with Derivative

permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Multisoliton solutions are derived for a general nonlinear Schrödinger equation with derivative by using Hirota’s approach. The dynamics of one-soliton solution and two-soliton interactions are also illustrated.The considered equation can reduce to nonlinear Schrödinger equation with derivative as well as the solutions. Some nonlinear partial differential equations are integrable models with interesting physical applications. Much work has been focused on those equations such as the celebrating KdV, modified KdV, nonlinear Schrödinger equations, and Toda lattice. Inverse scattering transform (IST), Darboux transformation, Hirota’s approach, tanh-function method, and algebraic-geometry method [1–25] have been used to investigate the exact solutions and integrability of those equa-tions. Among these methods, Hirota’s approach is usually used to fin