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Boris Konopelchenko

Boris Konopelchenko

D-Index & Metrics

Mathematics

D-Index
42
Citations
6720
World Ranking
1805
National Ranking
50

Overview

Boris Konopelchenko is affiliated with the University of Salento in Italy. Their work spans multiple areas within mathematics, physics, and engineering, focusing on applied mathematical and physical problems.

Their research covers several main fields of study:

  • Mathematics
  • Physics and Astronomy
  • Engineering

Within these fields, the subfields of their work include:

  • Applied Mathematics
  • Statistical and Nonlinear Physics
  • Computational Mechanics
  • Mathematical Physics
  • Numerical Analysis

Konopelchenko's research topics explore various complex scientific challenges, such as:

  • Navier-Stokes equation solutions
  • Nonlinear Waves and Solitons
  • Computational Fluid Dynamics and Aerodynamics
  • Advanced Mathematical Physics Problems
  • Numerical methods for differential equations
  • Aquatic and Environmental Studies
  • Geometric Analysis and Curvature Flows

Their recent publications reflect a focus on Euler equations and related nonlinear phenomena. Notable papers include:

  • "Homogeneous Euler equation: blow-ups, gradient catastrophes and singularity of mappings," Journal of Physics A Mathematical and Theoretical, 2021
  • "On universality of homogeneous Euler equation," Journal of Physics A Mathematical and Theoretical, 2021
  • "On blowups of vorticity for the homogeneous Euler equation," Studies in Applied Mathematics, 2023
  • "On pressureless Euler equation with external force," Physica D Nonlinear Phenomena, 2024
  • "On the hierarchy and fine structure of blowups and gradient catastrophes for multidimensional homogeneous Euler equation," Journal of Physics A Mathematical and Theoretical, 2024

Konopelchenko's frequent coauthors include:

  • G. Ortenzi
  • W. K. Schief
  • Udo Hertrich-Jeromin

Their publications appear predominantly in venues emphasizing mathematical physics and nonlinear phenomena:

  • arXiv (Cornell University)
  • Journal of Physics A Mathematical and Theoretical
  • Physica D Nonlinear Phenomena
  • Studies in Applied Mathematics
  • Journal of Geometry and Physics

Best Publications

  • Some new integrable nonlinear evolution equations in 2 + 1 dimensions

    B.G. Konopelchenko;V.G. Dubrovsky

  • Induced Surfaces and Their Integrable Dynamics

    B. G. Konopelchenko

  • (1+1)-dimensional integrable systems as symmetry constraints of (2+1)-dimensional systems

    Boris Konopelchenko;Jurij Sidorenko;Walter Strampp

  • On (2+1)-dimensional nonlinear systems of Loewner-type

    B. Konopelchenko;C. Rogers

  • Introduction to Multidimensional Integrable Equations

    B. G. Konopelchenko;C. Rogers

  • An r-Matrix Approach to Nonstandard Classes of Integrable Equations

    Boris Konopelchenko;Walter Oevel

  • On generalized Loewner systems: Novel integrable equations in 2+1 dimensions

    B. G. Konopelchenko;C. Rogers

  • delta -dressing and exact solutions for the (2+1)-dimensional Harry Dym equation

    V G Dubrovsky;B G Konopelchenko

  • Analytic-bilinear approach to integrable hierarchies. II. Multicomponent KP and 2D Toda lattice hierarchies

    L. V. Bogdanov;B. G. Konopelchenko

  • Three–dimensional integrable lattices in Euclidean spaces: conjugacy and orthogonality

    B. G. Konopelchenko;W. K. Schief

  • New reductions of the Kadomtsev–Petviashvili and two‐dimensional Toda lattice hierarchies via symmetry constraints

    Boris Konopelchenko;Walter Strampp

  • Constant mean curvature surfaces via an integrable dynamical system

    B G Konopelchenko;I A Taimanov

  • Lattice and q-difference Darboux-Zakharov-Manakov systems via delta -dressing method

    L V Bogdanov;B G Konopelchenko

  • On the gauge-invariant description of the evolution equations integrable by Gelfand-Dikij spectral problems

    B.G. Konopelchenko

  • Nonlinear integrable equations

    Boris Georgievich Konopelchenko

  • Solitons in Multidimensions: Inverse Spectral Transform Method

    Boris Georgievich Konopelchenko

  • The ∂-approach to the dispersionless KP hierarchy

    B Konopelchenko;L Martínez Alonso;O Ragnisco

  • On the theory of recursion operator

    V. E. Zakharov;B. G. Konopelchenko

  • The AKNS hierarchy as symmetry constraint of the KP hierarchy

    B Konopelchenko;W Strampp

  • Weierstrass Representations for Surfaces in 4D Spaces and Their Integrable Deformations via DS Hierarchy

    B. G. Konopelchenko

Frequent Co-Authors

Wolfgang K. Schief
Wolfgang K. Schief University of New South Wales
Yuji Kodama
Yuji Kodama The Ohio State University
Colin Rogers
Colin Rogers University of New South Wales
Ulrich Pinkall
Ulrich Pinkall Technical University of Berlin
Vladimir E. Zakharov
Vladimir E. Zakharov Landau Institute for Theoretical Physics

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