Adomian decomposition method for modelling the dissipative higher-order rogue waves in a superthermal collisional plasma

A reductive perturbation technique (the derivative expansion technique (DET)) is employed to derive a linear damped nonlinear Schrodinger equation (LDNLSE) for investigating the feature properties of the dissipative modulated nonlinear dust-acoustic wavepacket including rogue waves (RWs) in an electron-ion dusty plasma having superthermal electrons and ions. The modulational instability (MI) of the dissipative envelope structures is investigated and the (un)stable domain of the modulated structures is mapped precisely. The LDNLSE is solved numerically using Adomian decomposition method (ADM) in order to study the impact of the related plasma parameters on the features of the dissipative RWs. The influence of superthermal parameters and the dust-neutral collisional frequency on the profile of the dissipative dust-acoustic RWs is numerically investigated. Moreover, the accuracy of the numerical solutions is examined by estimating the global residual error in the whole space-time domain.

Automated summary

A linear damped nonlinear Schrodinger equation (LDNLSE) is derived using a reductive perturbation technique to investigate the properties of dissipative modulated nonlinear dust-acoustic wavepacket in an electron-ion dusty plasma with superthermal electrons and ions, including rogue waves (RWs). The modulational instability of the dissipative envelope structures is studied and the (un)stable domain of the modulated structures is mapped accurately. Numerical solutions of the LDNLSE using Adomian decomposition method (ADM) show the influence of plasma parameters on dissipative RWs, with a focus on superthermal parameters and dust-neutral collisional frequency. Global residual error is estimated to examine the accuracy of the numerical solutions.