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nlin.PS2026
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…
math-ph2026★ 3 cited
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…