19 citations · 44 across the 6 of their papers we have counts for
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nlin.PS2020★ 6 cited
Waves in Strongly Nonlinear Gardner-like Equations on a Lattice
Philip Rosenau, Arkady Pikovsky
We introduce and study a family of lattice equations which may be viewed either as a strongly nonlinear discrete extension of the Gardner equation, or a non-convex variant of the L…
nlin.PS2020★ 19 cited
Flatons: flat-top solitons in extended Gardner equations
Philip Rosenau, Alexander Oron
In both the Gardner equation and its extensions, the non-convex convection bounds the range of solitons / compactons velocities beyond which they dissolve and kink/anti-kink form.…
nlin.PS2020★ 9 cited
Solitary phase waves in a chain of autonomous oscillators
Philip Rosenau, Arkady Pikovsky
In the present paper we study phase waves of self-sustained oscillators with a nearest neighbor dispersive coupling on an infinite lattice. To analyze the underlying dynamics we ap…