What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Algebra
His primary scientific interests are in Integrable system, Mathematical analysis, Mathematical physics, Pure mathematics and Nonlinear system.
Boris Konopelchenko interconnects Inverse scattering transform, Partial differential equation, Kadomtsev–Petviashvili equation, Lattice and System of linear equations in the investigation of issues within Integrable system.
His research integrates issues of Soliton and Homogeneous space in his study of Mathematical analysis.
He combines subjects such as Symmetry and Dispersionless equation with his study of Mathematical physics.
His Pure mathematics research is multidisciplinary, relying on both Hamiltonian, Hamiltonian system and Euclidean geometry.
His Nonlinear system study incorporates themes from Structure, Finite set, Momentum, Power series and Degrees of freedom.
His most cited work include:
- Some new integrable nonlinear evolution equations in 2 + 1 dimensions (259 citations)
- (1+1)-dimensional integrable systems as symmetry constraints of (2+1)-dimensional systems (231 citations)
- Induced Surfaces and Their Integrable Dynamics (222 citations)
What are the main themes of his work throughout his whole career to date?
His scientific interests lie mostly in Integrable system, Mathematical analysis, Mathematical physics, Pure mathematics and Nonlinear system.
In his study, Boris Konopelchenko carries out multidisciplinary Integrable system and Hierarchy research.
The various areas that he examines in his Mathematical analysis study include Soliton and Inverse.
His Mathematical physics study combines topics from a wide range of disciplines, such as Symmetry, Inverse scattering transform, Homogeneous space, Scalar and Hamiltonian.
His research in Pure mathematics focuses on subjects like Associative property, which are connected to Structure constants.
He has included themes like Geometrical optics, Plane, Limit and Classical mechanics in his Nonlinear system study.
He most often published in these fields:
- Integrable system (62.70%)
- Mathematical analysis (42.46%)
- Mathematical physics (32.14%)
What were the highlights of his more recent work (between 2012-2021)?
- Integrable system (62.70%)
- Type (13.10%)
- Mathematical analysis (42.46%)
In recent papers he was focusing on the following fields of study:
Integrable system, Type, Mathematical analysis, Mathematical physics and Pure mathematics are his primary areas of study.
His research in Integrable system intersects with topics in Vector field, Algebraic number and Differential equation.
Boris Konopelchenko combines subjects such as Korteweg–de Vries equation, Iterated function, Hodograph, Jordan matrix and Transformation with his study of Type.
When carried out as part of a general Mathematical analysis research project, his work on Gravitational singularity, Dispersionless equation and Partial differential equation is frequently linked to work in Lauricella's theorem, therefore connecting diverse disciplines of study.
His work in the fields of Mathematical physics, such as Einstein, overlaps with other areas such as Eigenfunction.
His Pure mathematics study which covers Variable that intersects with Linear subspace.
Between 2012 and 2021, his most popular works were:
- Grassmannians Gr(N ? 1,?N + 1), closed differential N ? 1-forms and N-dimensional integrable systems (19 citations)
- Quasi‐Classical Approximation in Vortex Filament Dynamics. Integrable Systems, Gradient Catastrophe, and Flutter (11 citations)
- Confluence of hypergeometric functions and integrable hydrodynamic-type systems (11 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- Algebra
Boris Konopelchenko spends much of his time researching Type, Degenerate energy levels, Jordan matrix, Integrable system and Pure mathematics.
His Type research incorporates elements of Transformation, Hypergeometric function, Iterated function and Korteweg–de Vries equation.
The Degenerate energy levels study combines topics in areas such as Critical phenomena, Moduli and Moduli space.
The concepts of his Jordan matrix study are interwoven with issues in Applied mathematics, Grassmannian, Confluence and Rank.
Boris Konopelchenko integrates several fields in his works, including Integrable system and Differential.
His Mathematical physics study integrates concerns from other disciplines, such as Domain and Nonlinear system.
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