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Recent Preprints

abstract download S. Le Coz, D.E. Pelinovsky, and G. Schneider, Traveling waves in periodic metric graphs via spatial dynamics, J. Dyn. Diff. Eqs. submitted (April 2025)
abstract download Z.-Q. Li, D.E. Pelinovsky, and S.-F. Tian Exponential and algebraic double-soliton solutions of the massive Thirring model, J. Math. Phys. submitted (April 2025)
abstract download L. K. Arruda and D.E. Pelinovsky, Kink breathers on a traveling wave background in the defocusing mKdV equation, J. Nonlinear Waves submitted (March 2025)
abstract download S. Dyachenko and D.E. Pelinovsky, Bifurcations of unstable eigenvalues for Stokes waves derived from conserved energys, Physica D submitted (March 2025)
abstract download F. Natali, D.E. Pelinovsky, and S. Wang, Instability of the peaked traveling wave in a local model for shallow water waves, J. Nonlinear Waves submitted (February 2025)
abstract download J. Chen and D. E. Pelinovsky, Traveling periodic waves and breathers in the nonlocal derivative NLS equation, Nonlinearity submitted (January 2025)
abstract download S. Cui and D. E. Pelinovsky, Instability bands for periodic traveling waves in the modified Korteweg-de Vries equation, Proceedings A of Royal Society of London submitted (December 2024)
abstract download L. Ling, D. E. Pelinovsky, and H. Su, Stability analysis of breathers for coupled nonlinear Schrodinger equations, Advances in Mathematics submitted (November 2024)
abstract download I. Baldoma, M. Guardia, and D. E. Pelinovsky, On a countable sequence of homoclinic orbits arising near a saddle-center point, Communications in Mathematical Physics submitted (October 2024)
abstract download P.G. Kevrekidis, D.E. Pelinovsky, and R.M. Ross, Stability of smooth solitary waves under the intensity-dependent dispersion, IMA Journal of Applied Mathematics accepted (2025)
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 accepted (March 2025)