D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 37 Citations 6,306 177 World Ranking 1280 National Ranking 34

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Partial differential equation

Colin Rogers mainly investigates Mathematical analysis, Nonlinear system, Pure mathematics, Reciprocal and Mathematical physics. His biological study spans a wide range of topics, including Transformation, Geometry and Linearization. Many of his studies involve connections with topics such as Algebra and Nonlinear system.

His biological study deals with issues like Class, which deal with fields such as Conservation law and Thermal conduction. His research in Mathematical physics intersects with topics in Korteweg–de Vries equation, Nonlinear Schrödinger equation, Schrödinger equation and Dispersionless equation. His Integrable system study integrates concerns from other disciplines, such as Partial differential equation and Davey–Stewartson equation.

His most cited work include:

  • Bäcklund and Darboux transformations : geometry and modern applications in soliton theory (641 citations)
  • Bäcklund transformations and their applications (505 citations)
  • Backlund and Darboux Transformations (163 citations)

What are the main themes of his work throughout his whole career to date?

Colin Rogers mostly deals with Mathematical analysis, Nonlinear system, Classical mechanics, Integrable system and Mathematical physics. His work deals with themes such as Transformation and Reduction, which intersect with Mathematical analysis. His Nonlinear system research includes themes of Structure, Elliptic function, Geometry, Body force and Thermal conduction.

Colin Rogers interconnects Wave propagation, Canonical form, Geodesic and Superposition principle in the investigation of issues within Classical mechanics. His Integrable system research is multidisciplinary, relying on both Soliton, Motion, Hamiltonian and Schrödinger equation. Colin Rogers has researched Mathematical physics in several fields, including sine-Gordon equation, Nonlinear Schrödinger equation, Symmetry reduction and Type.

He most often published in these fields:

  • Mathematical analysis (66.19%)
  • Nonlinear system (43.81%)
  • Classical mechanics (30.48%)

What were the highlights of his more recent work (between 2009-2021)?

  • Nonlinear system (43.81%)
  • Integrable system (28.57%)
  • Mathematical analysis (66.19%)

In recent papers he was focusing on the following fields of study:

His primary scientific interests are in Nonlinear system, Integrable system, Mathematical analysis, Mathematical physics and Classical mechanics. His Nonlinear system research is multidisciplinary, incorporating perspectives in Derivative, Transverse wave, Body force and Schrödinger equation. The various areas that Colin Rogers examines in his Integrable system study include Nonlinear Schrödinger equation, Hamiltonian, Type and Hamiltonian system.

His Boundary value problem study in the realm of Mathematical analysis connects with subjects such as Context. The study incorporates disciplines such as Soliton, Symmetry reduction and Nonlinear optics in addition to Mathematical physics. The Classical mechanics study combines topics in areas such as Elliptic function, Superposition principle, Ansatz, One-dimensional space and Spin-½.

Between 2009 and 2021, his most popular works were:

  • Nonlinear Boundary Value Problems in Science and Engineering (152 citations)
  • Ermakov–Ray–Reid Systems in (2+1)‐Dimensional Rotating Shallow Water Theory (40 citations)
  • Ermakov–Ray–Reid systems in nonlinear optics (37 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Mathematical analysis
  • Partial differential equation

Colin Rogers spends much of his time researching Mathematical analysis, Integrable system, Boundary value problem, Nonlinear system and Electric field. He works on Mathematical analysis which deals in particular with Exact solutions in general relativity. His Integrable system research incorporates themes from Hamiltonian system, Classical mechanics and Nonlinear optics.

His work carried out in the field of Classical mechanics brings together such families of science as Elliptic function, Hamiltonian, Nonlinear Schrödinger equation and Ansatz. His Nonlinear boundary value problem study in the realm of Boundary value problem interacts with subjects such as Context and Science and engineering. His Mathematical physics research focuses on Soliton and how it connects with Constant coefficients and Bäcklund transform.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Bäcklund and Darboux transformations : geometry and modern applications in soliton theory

C. Rogers;Wolfgang Karl Schief.
(2002)

921 Citations

Bäcklund transformations and their applications

C. Rogers;W. F. Shadwick.
(1982)

786 Citations

Backlund and Darboux Transformations

C. Rogers;W. K. Schief.
(2002)

578 Citations

Nonlinear Boundary Value Problems in Science and Engineering

C. Rogers;William F. Ames.
(2012)

233 Citations

GAUGE TRANSFORMATIONS AND RECIPROCAL LINKS IN 2 + 1 DIMENSIONS

W. Oevel;C. Rogers.
Reviews in Mathematical Physics (1993)

202 Citations

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

B. Konopelchenko;C. Rogers.
Physics Letters A (1991)

190 Citations

Introduction to Multidimensional Integrable Equations

B. G. Konopelchenko;C. Rogers.
(1992)

171 Citations

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

B. G. Konopelchenko;C. Rogers.
Journal of Mathematical Physics (1993)

134 Citations

Reciprocal bäcklund transformations of conservation laws

J.G. Kingston;C. Rogers.
Physics Letters A (1982)

130 Citations

On two phase filtration under gravity and with boundary infiltration: application of a bäcklund transformation

C. Rogers;M.P. Stallybrass;D.L. Clements.
Nonlinear Analysis-theory Methods & Applications (1983)

127 Citations

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