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
Mathematics D-index 32 Citations 4,181 210 World Ranking 2421 National Ranking 9

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Partial differential equation

Conservation law, Mathematical analysis, Nonlinear system, Mathematical physics and Classical mechanics are his primary areas of study. The concepts of his Conservation law study are interwoven with issues in Stochastic partial differential equation, Symmetry, Conserved quantity and Hyperbolic partial differential equation. Abdul H. Kara has included themes like Korteweg–de Vries equation, Vector field and Homogeneous space in his Mathematical analysis study.

Abdul H. Kara studied Nonlinear system and Laws of science that intersect with Euler equations, Heat equation, Independent equation, Quartic function and Soliton propagation. As a part of the same scientific study, Abdul H. Kara usually deals with the Mathematical physics, concentrating on Noether's theorem and frequently concerns with Gauge symmetry and Numerical partial differential equations. His work deals with themes such as Soliton, Schrödinger's cat, Fluid mechanics and Flow velocity, which intersect with Classical mechanics.

His most cited work include:

  • Relationship between Symmetries andConservation Laws (231 citations)
  • Noether-Type Symmetries and Conservation Laws Via Partial Lagrangians (190 citations)
  • A Basis of Conservation Laws for Partial Differential Equations (116 citations)

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

Abdul H. Kara mainly investigates Conservation law, Mathematical analysis, Mathematical physics, Homogeneous space and Symmetry. His Conservation law study combines topics from a wide range of disciplines, such as Conserved quantity, Classical mechanics, Soliton, Nonlinear system and Noether's theorem. His work on Burgers' equation as part of his general Nonlinear system study is frequently connected to Power law, thereby bridging the divide between different branches of science.

His Mathematical analysis study incorporates themes from Vector field, Lie group and Applied mathematics. His research integrates issues of Lie point symmetry, Type and Quartic function in his study of Mathematical physics. The study incorporates disciplines such as Korteweg–de Vries equation, Structure and Reduction in addition to Symmetry.

He most often published in these fields:

  • Conservation law (78.33%)
  • Mathematical analysis (46.31%)
  • Mathematical physics (41.38%)

What were the highlights of his more recent work (between 2018-2021)?

  • Conservation law (78.33%)
  • Mathematical physics (41.38%)
  • Homogeneous space (35.47%)

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

Conservation law, Mathematical physics, Homogeneous space, Soliton and Symmetry are his primary areas of study. His Conservation law research incorporates themes from Refractive index, Conserved quantity, Classical mechanics and Nonlinear system. The various areas that Abdul H. Kara examines in his Mathematical physics study include Gravitational wave, Vector field, Nonlinear Schrödinger equation and Type.

In general Homogeneous space, his work in Lie point symmetry is often linked to Context linking many areas of study. His Soliton study combines topics in areas such as Mathematical analysis, Perturbation, Optics and Magneto. His research in Symmetry intersects with topics in Structure, Burgers' equation, Inviscid flow, Focus and Klein–Gordon equation.

Between 2018 and 2021, his most popular works were:

  • Solitons and conservation laws in magneto-optic waveguides with triple-power law nonlinearity (25 citations)
  • A (2+1)-dimensional KdV equation and mKdV equation: Symmetries, group invariant solutions and conservation laws (23 citations)
  • A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions (22 citations)

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

  • Quantum mechanics
  • Mathematical analysis
  • Partial differential equation

Abdul H. Kara mainly investigates Conservation law, Mathematical physics, Classical mechanics, Symmetry and Birefringence. His Conservation law study integrates concerns from other disciplines, such as Conserved quantity, Soliton, Nonlinear system, Hamiltonian and One-dimensional space. He combines subjects such as Elliptic function, Structure, Schrödinger's cat, Optical fiber and Generalization with his study of Nonlinear system.

His work deals with themes such as Vector field, Gravitation, Conformal map and Type, which intersect with Mathematical physics. His studies link Dynamics with Symmetry. He interconnects Function, Mathematical analysis and Power in the investigation of issues within Birefringence.

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

Relationship between Symmetries andConservation Laws

A. H. Kara;F. M. Mahomed.
International Journal of Theoretical Physics (2000)

368 Citations

Relationship between Symmetries andConservation Laws

A. H. Kara;F. M. Mahomed.
International Journal of Theoretical Physics (2000)

368 Citations

Noether-Type Symmetries and Conservation Laws Via Partial Lagrangians

A. H. Kara;F. M. Mahomed.
Nonlinear Dynamics (2006)

276 Citations

Noether-Type Symmetries and Conservation Laws Via Partial Lagrangians

A. H. Kara;F. M. Mahomed.
Nonlinear Dynamics (2006)

276 Citations

Lie–Bäcklund and Noether Symmetries with Applications

N. H. Ibragimov;A. H. Kara;F. M. Mahomed.
Nonlinear Dynamics (1998)

152 Citations

A Basis of Conservation Laws for Partial Differential Equations

A H Kara;F M Mahomed.
Journal of Nonlinear Mathematical Physics (2002)

152 Citations

Lie–Bäcklund and Noether Symmetries with Applications

N. H. Ibragimov;A. H. Kara;F. M. Mahomed.
Nonlinear Dynamics (1998)

152 Citations

A Basis of Conservation Laws for Partial Differential Equations

A H Kara;F M Mahomed.
Journal of Nonlinear Mathematical Physics (2002)

152 Citations

Optical solitons with complex Ginzburg–Landau equation

Mohammad Mirzazadeh;Mehmet Ekici;Abdullah Sonmezoglu;Mostafa Eslami.
Nonlinear Dynamics (2016)

138 Citations

Optical solitons with complex Ginzburg–Landau equation

Mohammad Mirzazadeh;Mehmet Ekici;Abdullah Sonmezoglu;Mostafa Eslami.
Nonlinear Dynamics (2016)

138 Citations

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