Home Recent 2023

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Articles in Books:
abstract download D.E. Pelinovsky, Traveling waves in fractional models, Fractional Dispersive Models and Applications: Recent Developments and Future Perspectives, Editors: P. G. Kevrekidis, J. Cuevas-Maraver Nonlinear Systems and Complexity 37 (Springer Nature, Switzerland, 2024) 155-186





Invited articles:
abstract download J. Chen and D.E. Pelinovsky, Bright and dark breathers of the Benjamin-Ono equation on the traveling periodic background, Wave Motion 126 (2024) 103263 (10 pages)
abstract download J. Chen and D.E. Pelinovsky, Rogue waves arising on the standing periodic waves in the Ablowitz-Ladik equation, Stud. Appl. Math. 152 (2024) 147-173





Regular articles:
abstract download L. Bengel, D. Pelinovsky, and W. Reichel, Pinning in the extended Lugiato-Lefever equation, SIAM J. Math. Anal. 56 (2024) 3679-3702
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 37 (2024) 055005 (36pp)
abstract download A. Geyer and D.E. Pelinovsky, Stability of smooth periodic traveling waves in the Degasperis-Procesi equation Journal of Differential Equations 404 (2024) 354-390
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, J. Math. Pures Appl. 188 (2024) 1-25
abstract download J. Han, C. He, and D. E. Pelinovsky, Algebraic solitons in the massive Thirring model, Physical Review E 110 (2024) 034202 (11 pages)
abstract download J. Lin, D. E. Pelinovsky, and B. de Rijk, On the extinction of multiple shocks in scalar viscous conservation laws, SIAM J. Applied Dynamical Systems 23 (2024)2323-2363
abstract download G. S. Medvedev and D. E. Pelinovsky, Turing bifurcation in the Swift-Hohenberg equation on deterministic and random graphs J. Nonlinear Science 34 (2024) 88 (36 pages)
abstract download A. Mucalica and D.E. Pelinovsky, Dark breathers on a snoidal wave background in the defocusing MKDV equation Lett. Math. Phys. 114 (2024)100 (28 pages)
abstract download D.E. Pelinovsky and M. Plum, Dynamics of black solitons in a regularized nonlinear Schrodinger equation, Proceeding AMS 152 (2024) 1217-1231
abstract download D.E. Pelinovsky and M. Plum, Stability of black solitons in optical systems with intensity-dependent dispersion, SIAM J. Math. Anal. 56 (2024) 2521-2568
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 139 (2024) 1-29