H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 96 Citations 33,186 568 World Ranking 21 National Ranking 15

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Nonlinear system

His scientific interests lie mostly in Mathematical analysis, Nonlinear system, Adomian decomposition method, Numerical analysis and Hyperbolic function. His research integrates issues of Korteweg–de Vries equation, Soliton and Work in his study of Mathematical analysis. His study looks at the intersection of Nonlinear system and topics like Applied mathematics with Mathematical optimization and Artificial neural network.

His Adomian decomposition method research includes themes of Initial value problem, Decomposition method, Boundary value problem, Decomposition method and Series. The various areas that Abdul-Majid Wazwaz examines in his Numerical analysis study include Burgers' equation and Exact solutions in general relativity. Abdul-Majid Wazwaz usually deals with Hyperbolic function and limits it to topics linked to Traveling wave and Power.

His most cited work include:

  • Partial Differential Equations and Solitary Waves Theory (558 citations)
  • A new algorithm for calculating adomian polynomials for nonlinear operators (499 citations)
  • Partial differential equations : methods and applications (495 citations)

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

His main research concerns Mathematical analysis, Soliton, Nonlinear system, Mathematical physics and Work. His Mathematical analysis study frequently draws parallels with other fields, such as Korteweg–de Vries equation. His studies deal with areas such as Order, One-dimensional space and Integrable system as well as Soliton.

Abdul-Majid Wazwaz has researched Nonlinear system in several fields, including Differential equation, Integral equation, Applied mathematics and Ansatz. Abdul-Majid Wazwaz has included themes like Kadomtsev–Petviashvili equation, Dispersionless equation and sine-Gordon equation in his Mathematical physics study. His studies in Work integrate themes in fields like Variety and Classical mechanics.

He most often published in these fields:

  • Mathematical analysis (60.91%)
  • Soliton (37.05%)
  • Nonlinear system (36.26%)

What were the highlights of his more recent work (between 2016-2021)?

  • Soliton (37.05%)
  • Mathematical analysis (60.91%)
  • Nonlinear system (36.26%)

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

Abdul-Majid Wazwaz spends much of his time researching Soliton, Mathematical analysis, Nonlinear system, Mathematical physics and Integrable system. He combines subjects such as Korteweg–de Vries equation, Nonlinear Schrödinger equation, Work, Variety and Order with his study of Soliton. His Mathematical analysis study which covers Dispersion relation that intersects with Burgers' equation and Hyperbolic function.

His Nonlinear system research is multidisciplinary, incorporating perspectives in Schrödinger's cat, Boundary value problem, Classical mechanics and Differential equation. The concepts of his Mathematical physics study are interwoven with issues in Symmetry, Kadomtsev–Petviashvili equation, Invariant and sine-Gordon equation. His Integrable system study combines topics in areas such as Compatibility, Constant coefficients and Applied mathematics.

Between 2016 and 2021, his most popular works were:

  • Solving the $$\mathbf{(3+1) }$$ ( 3 + 1 ) -dimensional KP–Boussinesq and BKP–Boussinesq equations by the simplified Hirota’s method (94 citations)
  • An efficient algorithm to construct multi-soliton rational solutions of the (2+ 1)-dimensional KdV equation with variable coefficients (87 citations)
  • Neuro-heuristics for nonlinear singular Thomas-Fermi systems (81 citations)

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

  • Mathematical analysis
  • Quantum mechanics
  • Nonlinear system

His primary areas of investigation include Soliton, Mathematical analysis, Nonlinear system, Work and Integrable system. The Soliton study combines topics in areas such as Korteweg–de Vries equation, Dispersion relation, Nonlinear Schrödinger equation and One-dimensional space, Mathematical physics. Abdul-Majid Wazwaz works in the field of Mathematical analysis, namely Variable.

His work carried out in the field of Nonlinear system brings together such families of science as Artificial neural network, Structure and Convergent series. Abdul-Majid Wazwaz has researched Work in several fields, including Variational iteration method, Dispersion and Schrödinger equation. The study incorporates disciplines such as Traveling wave, Derivative, sine-Gordon equation, Polynomial and Dispersionless equation in addition to Integrable system.

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.

Top Publications

Partial Differential Equations and Solitary Waves Theory

Abdul-Majid Wazwaz.
(2009)

775 Citations

Partial differential equations : methods and applications

Abdul-Majid Wazwaz.
(2002)

750 Citations

A new algorithm for calculating adomian polynomials for nonlinear operators

Abdul-Majid Wazwaz.
Applied Mathematics and Computation (2000)

740 Citations

A reliable modification of Adomian decomposition method

Abdul-Majid Wazwaz.
Applied Mathematics and Computation (1999)

697 Citations

A sine-cosine method for handlingnonlinear wave equations

A. M. Wazwaz.
Mathematical and Computer Modelling (2004)

654 Citations

The tanh method for traveling wave solutions of nonlinear equations

Abdul-Majid Wazwaz.
Applied Mathematics and Computation (2004)

598 Citations

A First Course in Integral Equations

Abdul-Majid Wazwaz.
(1997)

437 Citations

A new algorithm for solving differential equations of Lane-Emden type

Abdul-Majid Wazwaz.
Applied Mathematics and Computation (2001)

391 Citations

A new modification of the Adomian decomposition method for linear and nonlinear operators

Abdul-Majid Wazwaz;Salah M. El-Sayed.
Applied Mathematics and Computation (2001)

356 Citations

A new method for solving singular initial value problems in the second-order ordinary differential equations

Abdul-Majid Wazwaz.
Applied Mathematics and Computation (2002)

342 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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