| Branch cuts of Stokes wave on deep water. Part I: Numerical solution and Padé approximation SA Dyachenko, PM Lushnikov, AO Korotkevich Studies in Applied Mathematics, 2016 | 44 | 2016 |
| Complex singularity of a stokes wave SA Dyachenko, PM Lushnikov, AO Korotkevich JETP letters 98 (11), 675-679, 2014 | 43 | 2014 |
| Model reduction and optimization of natural gas pipeline dynamics A Zlotnik, S Dyachenko, S Backhaus, M Chertkov ASME Dynamic Systems and Control Conference, 479-484, 2015 | 40 | 2015 |
| Primitive potentials and bounded solutions of the KdV equation S Dyachenko, D Zakharov, V Zakharov Physica D: Nonlinear Phenomena 333, 148-156, 2016 | 36 | 2016 |
| New conformal mapping for adaptive resolving of the complex singularities of Stokes wave PM Lushnikov, SA Dyachenko, D A. Silantyev Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2017 | 34 | 2017 |
| Whitecapping S Dyachenko, AC Newell Studies in Applied Mathematics 137 (2), 199-213, 2016 | 34 | 2016 |
| Stokes waves with constant vorticity: I. numerical computation SA Dyachenko, VM Hur Studies in Applied Mathematics 142 (2), 162-189, 2019 | 33 | 2019 |
| Stokes waves with constant vorticity: folds, gaps and fluid bubbles SA Dyachenko, VM Hur Journal of Fluid Mechanics 878, 502-521, 2019 | 30 | 2019 |
| Dynamics of poles in two-dimensional hydrodynamics with free surface: new constants of motion AI Dyachenko, SA Dyachenko, PM Lushnikov, VE Zakharov Journal of Fluid Mechanics 874, 891-925, 2019 | 26 | 2019 |
| Operator splitting method for simulation of dynamic flows in natural gas pipeline networks SA Dyachenko, A Zlotnik, AO Korotkevich, M Chertkov Physica D: Nonlinear Phenomena, 2017 | 25 | 2017 |
| Beyond leading-order logarithmic scaling in the catastrophic self-focusing of a laser beam in Kerr media PM Lushnikov, SA Dyachenko, N Vladimirova Physical Review A 88 (1), 013845, 2013 | 22 | 2013 |
| Bounded solutions of KdV and non-periodic one-gap potentials in quantum mechanics DV Zakharov, SA Dyachenko, VE Zakharov Letters in Mathematical Physics 106, 731-740, 2016 | 21 | 2016 |
| Logarithmic scaling of the collapse in the critical Keller–Segel equation SA Dyachenko, PM Lushnikov, N Vladimirova Nonlinearity 26 (11), 3011, 2013 | 14 | 2013 |
| Comparison of split-step and Hamiltonian integration methods for simulation of the nonlinear Schrödinger type equations A Semenova, SA Dyachenko, AO Korotkevich, PM Lushnikov Journal of Computational Physics 427, 110061, 2021 | 13 | 2021 |
| Non-periodic one-dimensional ideal conductors and integrable turbulence DV Zakharov, VE Zakharov, SA Dyachenko Physics Letters A 380 (46), 3881-3885, 2016 | 13 | 2016 |
| Short branch cut approximation in two-dimensional hydrodynamics with free surface AI Dyachenko, SA Dyachenko, PM Lushnikov, VE Zakharov Proceedings of the Royal Society A 477 (2249), 20200811, 2021 | 10 | 2021 |
| On the dynamics of a free surface of an ideal fluid in a bounded domain in the presence of surface tension SA Dyachenko Journal of Fluid Mechanics 860, 408-418, 2019 | 10 | 2019 |
| Superharmonic instability of stokes waves AO Korotkevich, PM Lushnikov, A Semenova, SA Dyachenko Studies in Applied Mathematics 150 (1), 119-134, 2023 | 7 | 2023 |
| Traveling capillary waves on the boundary of a fluid disc SA Dyachenko Studies in Applied Mathematics 148 (1), 125-140, 2022 | 7 | 2022 |
| Logarithmic-type scaling of the collapse of keller-segel equation SA Dyachenko, PM Lushnikov, N Vladimirova, TE Simos, G Psihoyios, ... AIP Conference Proceedings-American Institute of Physics 1389 (1), 709, 2011 | 6 | 2011 |
Pavel M. LushnikovUniversity of New MexicoVerified email at math.unm.edu
