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20042026
most citedSoliton solutions of the Kadomtsev-Petviashvili II equation

153 citations · 1.1k across the 60 of their papers we have counts for

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nlin.PS2026

Whitham modulation theory for the Davey-Stewartson system and stability analysis of its periodic traveling wave solutions

Gino Biondini, Alexander Chernyavsky, Haodong Lin +1

The Davey-Stewartson (DS) system is a canonical model for a weakly nonlinear wave packet in two spatial dimensions that is resonantly coupled to the slowly varying mean flow it gen…

nlin.PS2026

Kinetic equations for a two-dimensional soliton gas

Gino Biondini, Thibault Bonnemain, Benjamin Doyon +2

We formulate a general system of kinetic equations for a non-stationary two-dimensional gas of elastically interacting line solitons and apply it to the description of a soliton ga…

nlin.PS2024

Two-dimensional stationary soliton gas

Thibault Bonnemain, Benjamin Doyon, Gino Biondini +2

We study two-dimensional stationary soliton gas in the framework of the time-independent reduction of the Kadomtsev-Petviashvili (KPII) equation, which coincides with the integrabl…

nlin.PS2023★ 7 cited

Whitham modulation theory for the Zakharov-Kuznetsov equation and transverse instability of its periodic traveling wave solutions

Gino Biondini, Alexander Chernyavsky

We derive the Whitham modulation equations for the Zakharov-Kuznetsov equation via a multiple scales expansion and averaging two conservation laws over one oscillation period of it…

nlin.PS2023★ 62 cited

Experimental realization of the Peregrine soliton in repulsive two-component Bose-Einstein condensates

A. Romero-Ros, G. C. Katsimiga, S. I. Mistakidis +5

We experimentally realize the Peregrine soliton in a highly particle-imbalanced two-component repulsive Bose-Einstein condensate in the immiscible regime. The effective focusing dy…

nlin.PS2023★ 17 cited

Whitham modulation theory for the defocusing nonlinear Schrodinger equation in two and three spatial dimensions

Asela Abeya, Gino Biondini, Mark A. Hoefer

The Whitham modulation equations for the defocusing nonlinear Schrodinger (NLS) equation in two, three and higher spatial dimensions are derived using a two-phase ansatz for the pe…