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Recent Preprints

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 submitted (June 2024)
abstract download J. Han, C. He, and D. E. Pelinovsky, Algebraic solitons in the massive Thirring model, Physical Review E submitted (June 2024)
abstract download S. Locke and D. E. Pelinovsky, On smooth and peaked traveling waves in a local model for shallow water waves, J. Fluid Dynamics submitted (May 2024)
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 submitted (April, 2024)
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 accepted (May 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 accepted (May 2024)
abstract download A. Mucalica and D.E. Pelinovsky, Dark breathers on a snoidal wave background in the defocusing MKDV equation Lett. Math. Phys. revised (May 2024)
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 published online (January 2024)