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Mathematics

D-Index
38
Citations
5560
World Ranking
2368
National Ranking
12

Overview

Abdul H. Kara is affiliated with the University of the Witwatersrand in South Africa. Their research spans key areas within physics and mathematics, with particular focus on nonlinear wave phenomena and photonic systems.

The main fields of study for Abdul H. Kara include:

  • Physics and Astronomy
  • Mathematics

Within these broader disciplines, they work extensively in several subfields:

  • Statistical and Nonlinear Physics
  • Atomic and Molecular Physics, and Optics
  • Modeling and Simulation
  • Electrical and Electronic Engineering
  • Mathematical Physics

Their research topics emphasize nonlinear and advanced mathematical problems in physics. Key topics covered in their work are:

  • Nonlinear Waves and Solitons
  • Nonlinear Photonic Systems
  • Advanced Fiber Laser Technologies
  • Fractional Differential Equations Solutions
  • Advanced Mathematical Physics Problems
  • Magneto-Optical Properties and Applications
  • Advanced Differential Equations and Dynamical Systems

Abdul H. Kara has contributed extensively to journals specialized in optics, physics, and applied mathematics. Frequent publication venues for their work include:

  • Optik
  • Journal of Optics
  • Physics Letters A
  • Chaos Solitons & Fractals
  • Afrika Matematika

The scientist has collaborated consistently with several researchers. Notable frequent co-authors include:

  • Anjan Biswas
  • Milivoj R. Belić
  • Yakup Yıldırım
  • F. D. Zaman
  • Mehmet Ekici

Some recent papers representative of Abdul H. Kara's research are:

  • A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions, 2020, Nuclear Physics B
  • Solitons and conservation laws in magneto-optic waveguides with triple-power law nonlinearity, 2020, Journal of Optics
  • Optical solitons and conservation laws for the concatenation model with spatio-temporal dispersion (internet traffic regulation), 2023, Journal of the European Optical Society Rapid Publications
  • Optical Solitons and Conservation Laws for the Concatenation Model: Undetermined Coefficients and Multipliers Approach, 2022, Universe
  • Optical solitons and conservation laws for the concatenation model: Power-law nonlinearity, 2023, Ain Shams Engineering Journal

Best Publications

  • Relationship between Symmetries andConservation Laws

    A. H. Kara;F. M. Mahomed

  • Noether-Type Symmetries and Conservation Laws Via Partial Lagrangians

    A. H. Kara;F. M. Mahomed

  • Lie–Bäcklund and Noether Symmetries with Applications

    N. H. Ibragimov;A. H. Kara;F. M. Mahomed

  • Optical solitons with complex Ginzburg–Landau equation

    Mohammad Mirzazadeh;Mehmet Ekici;Abdullah Sonmezoglu;Mostafa Eslami

  • A Basis of Conservation Laws for Partial Differential Equations

    A H Kara;F M Mahomed

  • Conservation laws for cubic–quartic optical solitons in Kerr and power law media

    Anjan Biswas;Anjan Biswas;Abdul H. Kara;Malik Zaka Ullah;Qin Zhou

  • A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions

    Gangwei Wang;Gangwei Wang;Kaitong Yang;Haicheng Gu;Fei Guan

  • Optical solitons and conservation laws with anti-cubic nonlinearity

    Houria Triki;Abdul H. Kara;Abdul H. Kara;Anjan Biswas;Anjan Biswas;Seithuti P. Moshokoa

  • Couette flow of a third-grade fluid with variable magnetic field

    T. Hayat;A. H. Kara

  • Additional conservation laws for Rosenau–KdV–RLW equation with power law nonlinearity by Lie symmetry

    Polina Razborova;Abdul H. Kara;Anjan Biswas;Anjan Biswas

  • Exact flow of a third-grade fluid on a porous wall

    T. Hayat;A.H. Kara;A.H. Kara;E. Momoniat

  • Generalization of the double reduction theory

    Ashfaque H. Bokhari;Ahmad Y. Al-Dweik;F.D. Zaman;A.H. Kara

  • Symmetry-invariant conservation laws of partial differential equations†

    Stephen C. Anco;Abdul H. Kara

  • Approximate Symmetries and Conservation Laws with Applications

    A. H. Kara;F. M. Mahomed;G. Unal

  • Symmetry analysis and conservation laws for the class of time-fractional nonlinear dispersive equation

    Gangwei Wang;Gangwei Wang;A. H. Kara;A. H. Kara;K. Fakhar;K. Fakhar

  • A (2+1)-dimensional KdV equation and mKdV equation: Symmetries, group invariant solutions and conservation laws

    Gangwei Wang;A.H. Kara

  • Solitons and conservation laws in magneto-optic waveguides with triple-power law nonlinearity

    Elsayed M. E. Zayed;Mohamed E. M. Alngar;Anjan Biswas;Anjan Biswas;Anjan Biswas;Abdul H. Kara

  • Soliton Solution and Conservation Law of Gear-Grimshaw Model for Shallow Water Waves

    H. Triki;A.H. Kara;A.H. Bhrawy;A. Biswas

  • Lie and Noether Counting Theorems for One-Dimensional Systems

    F.M. Mahomed;A.H. Kara;P.G.L. Leach

  • Optical soliton perturbation, group invariants and conservation laws of perturbed Fokas-Lenells equation

    Anupma Bansal;A.H. Kara;A.H. Kara;Anjan Biswas;Anjan Biswas;Seithuti P. Moshokoa

  • Solitons and conservation laws of Klein–Gordon equation with power law and log law nonlinearities

    Anjan Biswas;Anjan Biswas;Abdul H. Kara;Ashfaque H. Bokhari;F. D. Zaman

  • Generalization of the double reduction theory

    Ashfaque H. Bokhari;Ahmad Y. Dweik;F. D. Zaman;A. H. Kara

Frequent Co-Authors

Anjan Biswas
Anjan Biswas Grambling State University
Milivoj R. Belić
Milivoj R. Belić Texas A&M University at Qatar
Fazal M. Mahomed
Fazal M. Mahomed University of the Witwatersrand
Mehmet Ekici
Mehmet Ekici Bozok University
Qin Zhou
Qin Zhou Wuhan Textile University
Tasawar Hayat
Tasawar Hayat Quaid-i-Azam University
Houria Triki
Houria Triki Badji Mokhtar University
Seithuti P. Moshokoa
Seithuti P. Moshokoa Tshwane University of Technology
Saleem Asghar
Saleem Asghar COMSATS University Islamabad
Abdullah Sonmezoglu
Abdullah Sonmezoglu Bozok University

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