Dmitry Kachulin

Часть публикаций из профиля, по году от новых к старым. Это не полный список последних работ автора; работы без года — в конце.

• Applying canonical transformations to the nonlinear Schrödinger equation for modeling fiber optic communications2025
• Applying Canonical Transformations to Nonlinear Schrödinger Equation for Modeling Fiber Optic Communications2025
• Bi-Solitons on the Surface of a Deep Fluid: An Inverse Scattering Transform Perspective Based on Perturbation Theory2024
• New Fast Exponential Splitting Schemes for Nonlinear Fourier Transform2024
• Fast nonlinear Fourier transform algorithms for optical data processing2024
• Soliton Turbulence in Approximate and Exact Models for Deep Water Waves2020 · аннотациясвернуть

  We investigate and compare soliton turbulence appearing as a result of modulational instability of the homogeneous wave train in three nonlinear models for surface gravity waves: the nonlinear Schrödinger equation, the…

• Interactions of Coherent Structures on the Surface of Deep Water2019 · аннотациясвернуть

  We numerically investigate pairwise collisions of solitary wave structures on the surface of deep water—breathers. These breathers are spatially localised coherent groups of surface gravity waves which propagate so that…

• Super compact equation for water waves2017 · аннотациясвернуть

  Mathematicians and physicists have long been interested in the subject of water waves. The problems formulated in this subject can be considered fundamental, but many questions remain unanswered. For instance, a…