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Recent Preprints

abstract download S. Dyachenko, R. Marangell, and D. E. Pelinovsky, Recurrent bifurcations of stability spectra for steep Stokes waves in a deep fluid, J. Nonlinear Waves submitted (April 2026)
abstract download C. Lustri, P. G. Kevrekidis, and D. E. Pelinovsky Exponential Asymptotics for Dark Solitons of the Discrete NLS Model, Proc. Roy. Soc. London A submitted (April 2026)
abstract download Z. Zhao, C. He, B. Feng, and D. E. Pelinovsky Rational solutions for algebraic solitons in the massive Thirring model, J. Nonlinear Sci. submitted (March 2026)
abstract download F. Natali, D.E. Pelinovsky, and S. Wang, Stability of periodic waves in the model with intensity-dependent dispersion, Nonlinearity submitted (February 2026)
abstract download J. Hornick and D. E. Pelinovsky, Bifurcations of solitary waves in a coupled system of long and short waves, Water waves submitted (January 2026)
abstract download R. Carles, Q. Chaulleur, G. Ferriere, and D. E. Pelinovsky, On the ground state of the nonlinear Schrodinger equation: asymptotic behavior at the endpoint powers, Annales de l'Institut Henri Poincaré C submitted (December 2025)
abstract download J. Holmer, P. G. Kevrekidis, and D. E. Pelinovsky, Orbital stability of kinks in the NLS equation with competing nonlinearities, Proceedings AMS submitted (December 2025)
abstract download G.L. Alfimov, P.A. Korchagin, and D.E. Pelinovsky, Stability of intrinsic localized modes on the lattice with competing power nonlinearities, SIAM J. Appl. Dynam. Systems accepted (2026)
abstract download R. Marangell and D.E. Pelinovsky, Selection of the ground state on a compact metric graph, Indiana Mathematics Journal submitted (August 2025)
abstract download S. Le Coz, D.E. Pelinovsky, and G. Schneider, Traveling waves in periodic metric graphs via spatial dynamics, J. Dyn. Diff. Eqs. published (2026)