Structure of solitary wave solutions of the nonlinear complex fractional generalized Zakharov dynamical system

Abstract

The analytical and solitary traveling solutions of the nonlinear complex fractional generalized Zakharov equations are investigated. The nonlinear complex fractional generalized Zakharov equations describe the interaction between dispersive and non-dispersive waves in one dimension. Analytical and solitary traveling wave solutions were obtained through applying a generalized Kudryashov and a novel (G′G)-expansion methods. Novel solutions were the results of our investigated model, which illustrated the effectiveness and the power of the obtained methods in regards to accuracy, power, and effectiveness compared to the previously used methods.