2025/03/04 by Adamashvili, G. T.
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Pattern Formation and Solitons (nlin.PS)
paper · doi:10.48550/arxiv.2503.02576
Two different versions of cubic sixth-order generalised Boussinesq-type wave equations are considered in this study. A generalised perturbation reduction method is used to solve these equations, which allows the reduction of considered equations to coupled nonlinear Schrodinger equations. Two-component nonlinear wave solutions are obtained. The profiles and parameters of these solutions for both nonlinear equations are presented and compared. These solutions coincide with the vector 0 πpulse of self-induced transparency, which was previously studied in several known nonlinear wave equations.