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Recent Preprints

abstract download J. Lin, D. E. Pelinovsky, and B. de Rijk, On the extinction of multiple shocks in scalar viscous conservation laws, SIAM J. Appl. Dynam. Systems submitted (February, 2024)
abstract download G. S. Medvedev and D. E. Pelinovsky, Turing bifurcation in the Swift-Hohenberg equation on deterministic and random graphs J. Nonlinear Science revised (February, 2024)
abstract download A. Mucalica and D.E. Pelinovsky, Dark breathers on a snoidal wave background in the defocusing MKDV equation Lett. Math. Phys. submitted (December, 2023)
abstract download A. Geyer and D.E. Pelinovsky, Stability of smooth periodic traveling waves in the Degasperis-Procesi equation Journal of Differential Equations revised (November, 2023)
abstract download A. Geyer, Y. Liu, and D.E. Pelinovsky, On the transverse stability of smooth solitary waves in a two-dimensional Camassa-Holm equation, Journal de Mathématiques Pures et Appliquées submitted (October, 2023)
abstract download D.E. Pelinovsky, Traveling waves in fractional models, a chapter for a book in Springer accepted (September, 2023)
abstract download T. Dohnal, D.E. Pelinovsky, and G. Schneider, Traveling modulating pulse solutions with small tails for a nonlinear wave equation in periodic media, Nonlinearity accepted (April, 2023)
abstract download L. Bengel, D. Pelinovsky, and W. Reichel, Pinning in the extended Lugiato-Lefever equation, SIAM J. Math. Anal. accepted (October 2023)
abstract download D.E. Pelinovsky and S. Sobieszek, Ground state of the Gross-Pitaevskii equation with a harmonic potential in the energy critical case, Asymptotic Analysis accepted (December 2022)