D-Index & Metrics Best Publications

D-Index & Metrics 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.

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
Engineering and Technology D-index 45 Citations 7,813 239 World Ranking 1908 National Ranking 135
Mechanical and Aerospace Engineering D-index 49 Citations 8,645 292 World Ranking 703 National Ranking 50

Research.com Recognitions

Awards & Achievements

1990 - Fellow of the Australian Academy of Science

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Law

Roger Grimshaw mostly deals with Mathematical analysis, Korteweg–de Vries equation, Amplitude, Classical mechanics and Mechanics. His research on Mathematical analysis often connects related topics like Soliton. His Korteweg–de Vries equation research is multidisciplinary, incorporating perspectives in Breather and Mathematical physics.

He focuses mostly in the field of Amplitude, narrowing it down to topics relating to Incompressible flow and, in certain cases, Wavelength. His Classical mechanics research includes themes of Wave propagation, Phase velocity, Boussinesq approximation, Nonlinear system and Fluid dynamics. Roger Grimshaw has included themes like Surface wave and Mechanical wave in his Mechanics study.

His most cited work include:

  • RESONANT FLOW OF A STRATIFIED FLUID OVER TOPOGRAPHY (281 citations)
  • The solitary wave in water of variable depth. Part 2 (200 citations)
  • Nonlinear instability at the interface between two viscous fluids (200 citations)

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

The scientist’s investigation covers issues in Mechanics, Classical mechanics, Nonlinear system, Internal wave and Mathematical analysis. His Mechanics research incorporates themes from Amplitude and Surface wave. The various areas that Roger Grimshaw examines in his Classical mechanics study include Wave propagation, Phase velocity, Instability and Stratified flow.

His study looks at the relationship between Internal wave and fields such as Gravity wave, as well as how they intersect with chemical problems. The Mathematical analysis study combines topics in areas such as Korteweg–de Vries equation and Wavenumber. His studies deal with areas such as Cnoidal wave, Soliton and Mathematical physics as well as Korteweg–de Vries equation.

He most often published in these fields:

  • Mechanics (38.27%)
  • Classical mechanics (28.54%)
  • Nonlinear system (27.43%)

What were the highlights of his more recent work (between 2011-2021)?

  • Mechanics (38.27%)
  • Nonlinear system (27.43%)
  • Internal wave (23.23%)

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

His scientific interests lie mostly in Mechanics, Nonlinear system, Internal wave, Classical mechanics and Amplitude. As a part of the same scientific study, Roger Grimshaw usually deals with the Mechanics, concentrating on Undular bore and frequently concerns with Shock wave. Roger Grimshaw combines subjects such as Wave packet and Asymptotic expansion, Mathematical analysis with his study of Nonlinear system.

While the research belongs to areas of Internal wave, Roger Grimshaw spends his time largely on the problem of Rotation, intersecting his research to questions surrounding Soliton. His Classical mechanics study integrates concerns from other disciplines, such as Gravity wave, Nonlinear Schrödinger equation, Wave motion and Rogue wave. Amplitude and Flow are frequently intertwined in his study.

Between 2011 and 2021, his most popular works were:

  • Nonlinear ordinary differential equations (195 citations)
  • Dynamics of Rogue Waves on a Multisoliton Background in a Vector Nonlinear Schrödinger Equation (73 citations)
  • Undular bore theory for the Gardner equation (67 citations)

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

  • Quantum mechanics
  • Mathematical analysis
  • Nonlinear system

Roger Grimshaw focuses on Nonlinear system, Classical mechanics, Mechanics, Wave packet and Internal wave. He has researched Nonlinear system in several fields, including Quadratic equation, Mathematical analysis and Rotation. His studies in Classical mechanics integrate themes in fields like Nonlinear Schrödinger equation, Soliton, Turbulence, Phase velocity and Wind wave.

His Mechanics research integrates issues from Amplitude, Numerical analysis and Monotonic function. The concepts of his Amplitude study are interwoven with issues in Cnoidal wave, Boussinesq approximation and Barotropic fluid. His Wave packet study incorporates themes from Envelope, Mechanical wave and Wavenumber.

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

RESONANT FLOW OF A STRATIFIED FLUID OVER TOPOGRAPHY

R. H. J. Grimshaw;N. Smyth.
Journal of Fluid Mechanics (1986)

455 Citations

RESONANT FLOW OF A STRATIFIED FLUID OVER TOPOGRAPHY

R. H. J. Grimshaw;N. Smyth.
Journal of Fluid Mechanics (1986)

455 Citations

Nonlinear ordinary differential equations

R. Grimshaw.
(2017)

406 Citations

Nonlinear instability at the interface between two viscous fluids

A. P. Hooper;R. Grimshaw.
Physics of Fluids (1985)

335 Citations

The solitary wave in water of variable depth. Part 2

R. H. J. Grimshaw.
Journal of Fluid Mechanics (1971)

335 Citations

Nonlinear instability at the interface between two viscous fluids

A. P. Hooper;R. Grimshaw.
Physics of Fluids (1985)

335 Citations

The solitary wave in water of variable depth. Part 2

R. H. J. Grimshaw.
Journal of Fluid Mechanics (1971)

335 Citations

Weak and strong interactions between internal solitary waves

J. A. Gear;R. Grimshaw.
Studies in Applied Mathematics (1984)

286 Citations

Weak and strong interactions between internal solitary waves

J. A. Gear;R. Grimshaw.
Studies in Applied Mathematics (1984)

286 Citations

The modulation of an internal gravity-wave packet, and the resonance with the mean motion

R. H. J. Grimshaw.
Studies in Applied Mathematics (1977)

236 Citations

Editorial Boards

Wave Motion
(Impact Factor: 2.174)

If you think any of the details on this page are incorrect, let us know.

Contact us

Best Scientists Citing Roger Grimshaw

Efim Pelinovsky

Efim Pelinovsky

National Research University Higher School of Economics

Publications: 103

Boris A. Malomed

Boris A. Malomed

Tel Aviv University

Publications: 46

Dmitry E. Pelinovsky

Dmitry E. Pelinovsky

McMaster University

Publications: 45

Anjan Biswas

Anjan Biswas

Alabama Agricultural and Mechanical University

Publications: 39

Yong Chen

Yong Chen

East China Normal University

Publications: 28

Frédéric Dias

Frédéric Dias

University College Dublin

Publications: 28

Tarmo Soomere

Tarmo Soomere

Tallinn University of Technology

Publications: 27

Bo Tian

Bo Tian

Beijing University of Posts and Telecommunications

Publications: 27

Bo Tian

Bo Tian

Beijing University of Posts and Telecommunications

Publications: 25

Jingsong He

Jingsong He

Shenzhen University

Publications: 25

Philip L.-F. Liu

Philip L.-F. Liu

National University of Singapore

Publications: 23

Nail Akhmediev

Nail Akhmediev

Australian National University

Publications: 20

John P. Boyd

John P. Boyd

University of Michigan–Ann Arbor

Publications: 20

Jean-Marc Vanden-Broeck

Jean-Marc Vanden-Broeck

University College London

Publications: 18

Mark J. Ablowitz

Mark J. Ablowitz

University of Colorado Boulder

Publications: 17

Jianke Yang

Jianke Yang

University of Vermont

Publications: 17

Trending Scientists

Itay Goldstein

Itay Goldstein

University of Pennsylvania

Diego Iribarren

Diego Iribarren

Madrid Institute for Advanced Studies

Yanxiang Gao

Yanxiang Gao

China Agricultural University

Annalisa Fasolino

Annalisa Fasolino

Radboud University Nijmegen

Kuniharu Takei

Kuniharu Takei

Osaka Metropolitan University

Peter G. Ryan

Peter G. Ryan

University of Cape Town

Larry S. McDaniel

Larry S. McDaniel

University of Mississippi Medical Center

Cécile Guieu

Cécile Guieu

Université Paris Cité

Dengsheng Lu

Dengsheng Lu

Fujian Normal University

Xiao-Feng Huang

Xiao-Feng Huang

Peking University

Linda J. Richards

Linda J. Richards

University of Queensland

Brian J. McMahon

Brian J. McMahon

Centers for Disease Control and Prevention

Per-Lennart Westesson

Per-Lennart Westesson

University of Rochester Medical Center

Robert C. Burghardt

Robert C. Burghardt

Texas A&M University

James W. Truman

James W. Truman

University of Washington

Pamela Wilcox

Pamela Wilcox

Pennsylvania State University

Something went wrong. Please try again later.