50 citations · 59 across the 23 of their papers we have counts for
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On a countable sequence of homoclinic orbits arising near a saddle-center point
Inmaculada Baldomá, Marcel Guardia, Dmitry E. Pelinovsky
Exponential small splitting of separatrices in the singular perturbation theory leads generally to nonvanishing oscillations near a saddle--center point and to nonexistence of a tr…
Stability analysis of breathers for coupled nonlinear Schrodinger equations
Liming Ling, Dmitry E. Pelinovsky, Huajie Su
We investigate the spectral stability of non-degenerate vector soliton solutions and the nonlinear stability of breather solutions for the coupled nonlinear Schrodinger (CNLS) equa…
On the long-wave approximation of solitary waves in cylindrical coordinates
James Hornick, Dmitry E. Pelinovsky, Guido Schneider
We address justification and solitary wave solutions of the cylindrical KdV equation which is formally derived as a long wave approximation of radially symmetric waves in a two-dim…
Stability of standing periodic waves in the massive Thirring model
Shikun Cui, Dmitry E. Pelinovsky
We analyze the spectral stability of the standing periodic waves in the massive Thirring model in laboratory coordinates. Since solutions of the linearized MTM equation are related…
On the Existence of Generalized Breathers and Transition Fronts in Time-Periodic Nonlinear Lattices
Christopher Chong, Dmitry E. Pelinovsky, Guido Schneider
We prove the existence of a class of time-localized and space-periodic breathers (called q-gap breathers) in nonlinear lattices with time-periodic coefficients. These q-gap breathe…