304 citations · 9.7k across the 421 of their papers we have counts for
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Learning Lax Pairs: Revisiting the Classical Paradigm
Jimmie Adriazola, Gino Biondini, Wei Zhu +1
A Lax pair is sometimes thought of as a structural certificate, in that the spatial operator carries the spectral data of an integrable system, and its isospectral evol…
Computer Assisted Discovery of Integrability via SILO: Sparse Identification of Lax Operators
Jimmie Adriazola, Wei Zhu, Panayotis Kevrekidis +1
We formulate the discovery of Lax integrability of Hamiltonian dynamical systems as a symbolic regression problem, which, loosely speaking, seeks to maximize the compatibility betw…
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude
Evans C. Boadi, Efstathios G. Charalampidis, Panayotis G. Kevrekidis +2
The focus of this work is on a class of solutions of the defocusing Ablowitz-Ladik lattice on an arbitrarily large background which are discrete analogs of the Kuznetsov-Ma (KM) br…
PainleveBacklundCheck: A Sympy-powered Kivy app for the Painlevé property of nonlinear dispersive PDEs and auto-Bäcklund transformations
Shrohan Mohapatra, P. G. Kevrekidis, Stephane Lafortune
In the present work we revisit the Painlevé property for partial differential equations. We consider the PDE variant of the relevant algorithm on the basis of the fundamental work…
On the Whitham modulation equations for the Toda lattice and the quantitative characterization of its dispersive shocks
Gino Biondini, Christopher Chong, Panayotis Kevrekidis
The aim of this work is multifold. Firstly, it intends to present a complete, quantitative and self-contained description of the periodic traveling wave solutions and Whitham modul…
Asymptotic dynamics of higher-order lumps in the Davey-Stewartson II equation
Lijuan Guo, P. G. Kevrekidis, Jingsong He
A family of higher-order rational lumps on non-zero constant background of Davey-Stewartson (DS) II equation are investigated. These solutions have multiple peaks whose heights and…