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Recent Preprints

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, ARMA 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 D. E. Pelinovsky and R. Weikard, Bright and dark breathers on an elliptic wave in the defocusing mKdV equation, Stud. Appl. Math. published (2026)
abstract download R. W. Sallatti, L. Tomio, D. E. Pelinovsky, and A. Gammal, Stability of dark solitons in a bubble Bose-Einstein condensate, Phys. Rev. Lett. submitted (November 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 revised (January 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)
abstract download L. Ling, D. E. Pelinovsky, and H. Su, Stability analysis of breathers for coupled nonlinear Schrodinger equations, Advances in Mathematics submitted (November 2024)