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Recent Preprints

abstract download J. Hornick and D. E. Pelinovsky, Bifurcations of solitary waves in a coupled system of long and short waves, SIAM J. Math. Anal. to be 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. submitted (November 2025)
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 submitted (October 2025)
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. revised (December 2025)
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)