On the classification of all traveling wave solutions to the Westervelt equation
Abstract
Abstract In this work, all traveling wave solutions to the Westervelt equation are determined and classified. This is done by analyzing all possible solutions of a two-parameter family of Riccati equations. It is also shown how particular solutions previously found in the literature can be fitted into the performed classification.
Fields of Study & Subjects
Nonlinear Waves and Solitons
Advanced Mathematical Physics Problems
Differential Equations and Boundary Problems
Publication details
- Journal / source
- Physica Scripta
- Volume
- 101
- Issue
- 6
- Pages
- 061501–061501
- Publication date
- 29 January 2026