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- Title
Sensitivity analysis and solitary wave solutions to the (2+1)-dimensional Boussinesq equation in dispersive media.
- Authors
Nasreen, Naila; Naveed Rafiq, Muhammad; Younas, Usman; Lu, Dianchen
- Abstract
This paper explores the dynamic behavior of the (2 + 1) -dimensional Boussinesq equation, which is a nonlinear water wave equation used to model wave packets in dispersive media with weak nonlinearity. Specifically, we investigate the equation's traveling wave solutions using the Riccati equation mapping method. Our results include solitary and soliton solutions, each with their own set of parameter values. To provide a comprehensive understanding of these solutions, we present them in general form and visualize their significance using various graphs, such as 3D, 2D, and contour plots. The computational effort and resulting outcomes highlight the efficacy of our approach, which has the potential to be applied to other nonlinear physical problems in fields such as mathematical physics, engineering, and nonlinear science.
- Subjects
BOUSSINESQ equations; TRAVELING waves (Physics); WAVE packets; WAVE analysis; NONLINEAR wave equations; MATHEMATICAL physics; RICCATI equation; SCATTERING (Mathematics); WAVE equation
- Publication
Modern Physics Letters B, 2024, Vol 38, Issue 3, p1
- ISSN
0217-9849
- Publication type
Article
- DOI
10.1142/S0217984923502275