Home Recent 2024

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Books:

abstract Anna Geyer and Dmitry E. Pelinovsky, Stability of Nonlinear Waves in Hamiltonian Dynamical Systems, Mathematical Surveys and Monographs 288 (AMS, Providence) (2025) (372 pages)





Invited articles:
abstract download S. Cui and D. E. Pelinovsky, Stability of standing periodic waves in the massive Thirring model, Studies in Applied Mathematics 154 (2025) e12789 (24 pages)





Regular articles:
abstract download I. Baldoma, M. Guardia, and D. E. Pelinovsky, On a countable sequence of homoclinic orbits arising near a saddle-center point, Commun. Math. Phys. 406 (2025) 215 (65 pages)
abstract download J. Chen and D. E. Pelinovsky, Traveling periodic waves and breathers in the nonlocal derivative NLS equation, Nonlinearity 38 (2025) 075016 (39 pages)
abstract download C. Chong, D. E. Pelinovsky, and G. Schneider, On the existence of generalized breathers and transition fronts in time-periodic nonlinear lattices, SIAM J. Appl. Dynam. Systems 24 (2025) 894--928
abstract download S. Cui and D. E. Pelinovsky, Instability bands for periodic traveling waves in the modified Korteweg-de Vries equation, Proc. R. Soc. A 481 (2025) 20240993 (18 pages)
abstract download J. Hornick, D.E. Pelinovsky and G. Schneider, On the long-wave approximation of solitary waves in cylindrical coordinates, Nonlinear Differential Equations and Applications 32 (2025) 50 (27 pages)
abstract download S. Locke and D. E. Pelinovsky, On smooth and peaked traveling waves in a local model for shallow water waves, J. Fluid Mech. 1004 (2025) A1 (27 pages)
abstract download S. Locke and D. E. Pelinovsky, Peaked Stokes waves as solutions of Babenko's equation, Applied Mathematics Letters 161 (2025) 109359 (5 pages)