Work

Nonlinear non-autonomous Boussinesq equations

Year: 2024

Type: article

Abstract: We study solitary wave solutions for a nonlinear and non-autonomous Boussinesq system with initial conditions. Since the variable coefficients introduce distortions and modulations of the solution amplitudes, we implement a multiple-scale approach combining various modes in order to capture the coupling between the nonlinear evolution and the effect of the variable coefficient. The differential system is mapped into a solvable system of nonlinear and non-autonomous ODE which is integrable by recursion procedures. We show that even in the limiting autonomous case, the multiple-scale approach gives a new possibly integrable dispersionless coupled envelope system, which deserves further study. We validate our theoretical results with numerical simulations, and we study their stability. For more information see https://ejde.math.txstate.edu/conf-proc/27/l1/abstr.html

Source: Electronic Journal of Differential Equations

DOI: 10.58997/ejde.conf.27.l1

Authors: Andrei Ludu, Harihar Khanal, Adrian Stefan Carstea

Institutions: Embry-Riddle Aeronautical University Daytona Beach Florida Campus, Embry–Riddle Aeronautical University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4401788723

FWCI:

Cites: 39

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Related to: 10