Publications

Publications and Preprints

  1. G Chen, N Eun, M Kang, Y Shen, "Uniform Stability of Oscillatory Shocks for KdV-Burgers Equation" (PDF), submitted (2026)
  2. G Chen, N Eun, M Kang, Y Shen, "L2-contraction of Shock Waves for KdV-Burgers Equation" (PDF), submitted (2026)
  3. G Chen, FA El-Katri, Y Hu, Y Shen, "Singularity formation for the supersonic inward wave of compressible Euler equations with radial symmetry" (PDF), submitted (2025)
  4. H Cai, G. Chen, Y. Shen, "The regularity of solution for a generalized hunter-saxton type equation", Applied Mathematics Letters, 167, 109561 (2025)
  5. G Chen, FA El-Katri, Y Hu, Y Shen, "Global solution and singularity formation for the supersonic expanding wave of compressible Euler equations with radial symmetry", J. London Math. Soc. 111 e70208 (2025)
  6. H. Cai, G. Chen, Y. Shen, "Lipschitz optimal transport metric for a wave system modeling nematic liquid crystals", SIAM J. Math. Anal. 56 5144-5174 (2024)
  7. G. Chen, Y. Shen, S. Zhu, "Existence and regularity for global solutions including breaking waves from Camassa-Holm and Novikov equations to lambda-family equations", Quart. Appl. Math. (2023)
  8. H. Cai, G. Chen, Y. Shen, "A Finsler type Lipschitz optimal transport metric for a quasilinear wave equation", J. Diff. Eq., 356, 289 (2023)
  9. H. Cai, G. Chen, Y. Du, Y. Shen, "Uniqueness of conservative solutions to a one-dimensional general quasilinear wave equation through variational principle", J. Math. Phys 63, 021508 (2022)
  10. R. Parker, Y. Shen, A. Aceves, J. Zweck, "Spatiotemporal dynamics in a twisted, circular waveguide array", Stud. Appl. Math., 149, 537 (2022)
  11. J. Zweck, Y. Chen, M. J. Goeckner and Y. Shen, "Spectral computation of low probability tails for the homogeneous Boltzmann equation", Applied Numerical Mathematics, 162, 301-317 (2021)
  12. H. Cai, G. Chen, R. Chen and Y. Shen, "Lipschitz metric for the Novikov equation", Arch. Ration. Mech. Anal., 229, 1091 (2018)
  13. Y. Shen, P.G. Kevrekidis, G.P. Veldes, D.J. Frantzeskakis, D. DiMarzio, X. Lan, and V. Radisic, "From Solitons to Rogue Waves in Nonlinear Left-Handed Metamaterials", Phys. Rev. E., 95, 032223 (2017)
  14. H. Cai, G. Chen, Y. Shen, "Lipschitz metric for conservative solutions of the two-component Camassa-Holm system", Z. Angew. Math. Phys., 68, 5 (2017)
  15. C. Castro-Castro, Y. Shen, G. Srinivasan, A. Aceves and P.G. Kevrekidis, "Light dynamics in nonlinear trimers and twisted multicore fibers", J. Nonlinear Optic. Phys. Mat., 25, 1650042 (2016)
  16. H. Cai, G. Chen, Y. Shen, Z. Tan, "Generic Regularity and Lipschitz Metric for the Hunter-Saxton type equations", J. Diff. Eq., 262, 1023 (2017)
  17. Y. Shen, P.G. Kevrekidis, G. Srinivasan, and A. Aceves, "Existence, Stability and Dynamics of Discrete Solitary Waves in a Binary Waveguide Array", J. Phys. A: Math. Theor., 49, 295205 (2016)
  18. Y. Shen, John Zweck, Shaokang Wang, and Curtis R. Menyuk, "Spectra of Short Pulse Solutions of the Cubic-Quintic Complex Ginzburg Landau Equation near Zero Dispersion", Studies in Applied Mathematics, 137, 238 (2016)
  19. G. Chen, Y. Shen, "Existence and regularity of solutions in nonlinear wave equations", Disc. Contin. Dyn. Syst., Ser. A, 35, 3327 (2015)
  20. Y. Shen, P. G. Kevrekidis, S. Sen, A. Hoffman, "Characterizing traveling-wave collisions in granular chains starting from integrable limits: The case of the Korteweg-de Vries equation and the Toda lattice", Phys. Rev. E, 90 (2), 022905 (2014)
  21. Y. Shen, T. P. Horikis, P. G. Kevrekidis, D. J. Frantzeskakis, "Traveling waves of the regularized short pulse equation", J. Phys. A: Math. Theor., 47, 315204 (2014)
  22. Y. Shen, P. G. Kevrekidis, N. Whitaker, N. I. Karachalios, D. J. Frantzeskakis, "Finite-temperature dynamics of matter-wave dark solitons in linear and periodic potentials: an example of an anti-damped Josephson junction", Phys. Rev. A, 86, 033616 (2012)
  23. Y. Shen, N. Whitaker, P. G. Kevrekidis, N. L. Tsitsas, D. J. Frantzeskakis, "Ultrashort pulses and short-pulse equations in (2+1)-dimensions", Phys. Rev. A, 86, 023841 (2012)
  24. Y. Shen, P. G. Kevrekidis, N. Whitaker, Boris A. Malomed, "Spatial solitons under competing linear and nonlinear diffractions", Phys. Rev. E, 85, 026606 (2012)
  25. L. Q. English, S. G. Wheeler, Y. Shen, G. P. Veldes, N. Whitaker, P. G. Kevrekidis, D. J. Frantzeskakis, "Backwards-wave propagation and discrete solitons in a left-handed electrical lattice", Phys. Lett. A, 375, 1242 (2011)
  26. A. Stefanov, Y. Shen, P. G. Kevrekidis, "Well-posedness and small data scattering for the generalized Ostrovsky equation", J. Diff. Eq., 249, 2600 (2010)
  27. Y. Shen, F. Williams, N. Whitaker, P. G. Kevrekidis, A. Saxena and D. J. Frantzeskakis, "On some single-hump solutions of the short-pulse equation and their periodic generalizations", Phys. Lett. A, 374, 2964 (2010)
  28. N. L. Tsitsas, T. P. Horikis, Y. Shen, P. G. Kevrekidis, N. Whitaker, D. J. Frantzeskakis, "Short pulse equations and localized structures in frequency band gaps of nonlinear metamaterials" (PDF), Phys. Lett. A, 374, 1384 (2010)