13 citations · 32 across the 6 of their papers we have counts for
3 papers · 2 filters
Symmetry analysis and hidden variational structure of Westervelt's equation in nonlinear acoustics
Stephen C. Anco, Almudena P. Marquez, Tamara M. Garrido +1
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-…
Conservation laws, symmetries, and line solitons of a Kawahara-KP equation
Almudena P. Marquez, Maria L. Gandarias, Stephen C. Anco
A generalization of the KP equation involving higher-order dispersion is studied. This equation appears in several physical applications. As new results, the Lie point symmetries a…
Conservation laws and variational structure of damped nonlinear wave equations
Stephen C. Anco, Almudena P. Marquez, Tamara M. Garrido +1
All low-order conservation laws are found for a general class of nonlinear wave equations in one dimension with linear damping which is allowed to be time-dependent. Such equations…