13 citations · 32 across the 6 of their papers we have counts for
7 papers
Dark solitons in the fractional NLS equation
Almudena P. Márquez, Jesús Cuevas-Maraver, Panayotis G. Kevrekidis
In the present work we consider the subject of dark fractional solitary waves in the realm of generalized (fractional) forms of the nonlinear Schrödinger (NLS) equation. While earl…
Conservation laws and exact solutions of a nonlinear acoustics equation by classical symmetry reduction
Almudena del Pilar Márquez, Elena Recio, María Luz Gandarias
Symmetries and conservation laws are studied for a generalized Westervelt equation which is a nonlinear partial differential equation modelling the propagation of sound waves in a…
Conservation laws for a generalized seventh order KdV equation
María de los Santos Bruzón, Almudena del Pilar Márquez, Tamara María Garrido +2
In this paper, by applying the multiplier method we obtain a complete classification of low-order local conservation laws for a generalized seventh-order KdV equation depending on…
Exact solutions and conservation lawsof a one-dimensional PDE model for a blood vessel
Stephen C. Anco, Almudena P. Marquez, Tamara M. Garrido +1
Two aspects of a widely used 1D model of blood flow in a single blood vessel are studied by symmetry analysis, where the variables in the model are the blood pressure and the cross…
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…