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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 revised (March 2025)
abstract download S. Dyachenko and D.E. Pelinovsky, Bifurcations of unstable eigenvalues for Stokes waves derived from conserved energys, Physica D revised (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 revised (February 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 published (2025)
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 published (2025)