@misc{10498/28939,
year = {2023},
month = {5},
url = {http://hdl.handle.net/10498/28939},
abstract = {Westervelt's equation is a nonlinear wave equation that is widely used to model the propagation of sound waves in a compressible medium, with one important application being ultra-sound in human tissue. Two fundamental aspects of the general dissipative version of Westervelt's equation – symmetries and conservation laws – are studied in the present work by modern methods. Numerous results are obtained: new conserved integrals; potential systems yielding hidden symmetries and nonlocal conservation laws; mapping of Westervelt's equation in the undamped case into a linear wave equation; hidden variational structures, including a Lagrangian and a Hamiltonian; a recursion operator and a Noether operator; contact symmetries; higher-order symmetries and higher-order conservation laws.},
publisher = {Elsevier},
keywords = {Conservation laws},
keywords = {Conserved integrals},
keywords = {Nonlinear acoustics},
keywords = {Symmetries},
title = {Symmetry analysis and hidden variational structure of Westervelt’s equation in nonlinear acoustics},
doi = {10.1016/j.cnsns.2023.107315},
author = {Anco, Stephen C. and Márquez Lozano, Almudena del Pilar and Garrido Letrán, Tamara María and Gandarias Núñez, María Luz},
}