Fetching the paper…
Reading the bibliography…
Weakly nonlinear energy transfer between normal modes of strongly resonant PDEs is captured by the corresponding effective resonant systems.
1903
Earlier work this paper cites.
N. M. Krylov and N. N. Bogolyubov, Introduction to non-linear mechanics (in Russian), Izd-vo AN SSSR (Kiev, 1937)
1937
Earlier work this paper cites.
N. N. Bogoljubov and J. A. Mitropol’skij, Asymptotic methods in the theory of non-linear oscillations, Gordon and Breach (New York, 1961)
1961
Earlier work this paper cites.
J. A. Murdock, Perturbations: Theory and Methods , SIAM (1987)
1987
Earlier work this paper cites.
P. H. Ginsparg, Applied conformal field theory, lectures at Les Houches Summer School 1988: Fields, strings, critical phenomena
1988
Earlier work this paper cites.
J. Gillis, J. Jedwab and D. Zeilberger, A combinatorial interpretation of the integral of the product of Legendre polynomials, Siam. J. Math. Anal. 19
1988
Earlier work this paper cites.
S. G. Samko, A. A. Kilbas and O. I. Marichev, Fractional integrals and derivatives
1993
Earlier work this paper cites.
D. Bambusi, An averaging theorem for quasilinear Hamiltonian PDEs,
2003
Earlier work this paper cites.
V. Zharnitsky and D. Pelinovsky, Averaging of dispersion-managed solitons: existence and stability
2005
Earlier work this paper cites.
V. A. Brazhnyi, V. V. Konotop and L. P. Pitaevskii, Dark solitons as quasiparticles in trapped condensates, Phys. Rev. A 73
2006
Earlier work this paper cites.
S. Das, Functional fractional calculus for system identification and controls
2008
Earlier work this paper cites.
2010
Earlier work this paper cites.
P. Bizoń and A. Rostworowski, On weakly turbulent instability of anti-de Sitter space,
2011
Earlier work this paper cites.
2011
Cited alongside, same era.
S. R. Das, Holographic quantum quench,
2012
Cited alongside, same era.
D. E. Pelinovsky, P. G. Kevrekidis, D. J. Frantzeskakis and V. Zharnitsky, Hamiltonian averaging for solitons with nonlinearity management
2014
Cited alongside, same era.
2014
Cited alongside, same era.
2016
Later among the works it cites.
P. Germain and L. Thomann, On the high frequency limit of the LLL equation , Quart. Appl. Math. 74
2016
Later among the works it cites.
B. Craps and O. Evnin, AdS (in)stability: an analytic approach,
2016
Later among the works it cites.
O. Evnin and R. Nivesvivat, AdS perturbations, isometries, selection rules and the Higgs oscillator,
2016
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2014
Cited alongside, same era.
2015
Cited alongside, same era.
2015
Cited alongside, same era.
2015
Cited alongside, same era.
P. Gérard and S. Grellier, The cubic Szegő equation,
2015
Cited alongside, same era.
I-S. Yang, Missing top of the AdS resonance structure,
2015
Cited alongside, same era.
S. Kuksin and A. Maiocchi, The effective equation method
2016
Cited alongside, same era.
2016
Cited alongside, same era.
2017
Later among the works it cites.
2017
Later among the works it cites.
B. Craps, O. Evnin and V. Luyten, Maximally rotating waves in AdS and on spheres,
2017
Later among the works it cites.
2018
Later among the works it cites.
P. Bizon, O. Evnin and F. Ficek, A nonrelativistic limit for AdS perturbations, JHEP 1812
2018
Later among the works it cites.
2018
Later among the works it cites.
P. Gérard, P. Germain and L. Thomann, On the cubic lowest Landau level equation,
2019
Closest in time.