13 citations · 16 across the 2 of their papers we have counts for
3 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…