Symbolic computation of strongly nonlinear periodic oscillations

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Journal Categories
Science
Mathematics
Science
Mathematics
Instruments and machines
Electronic computers
Computer science
Technology
Engineering (General)
Civil engineering (General)
Technology
Technology (General)
Industrial engineering
Management engineering
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Quantitative methods
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Refrences
Title Journal Journal Categories Citations Publication Date
An application of a homotopy analysis method to nonlinear composites Journal of Physics A: Mathematical and Theoretical
  • Science: Physics
  • Science: Mathematics
  • Science: Physics
 6 2009
Notes on the homotopy analysis method: Some definitions and theorems Communications in Nonlinear Science and Numerical Simulation
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases
  • Science: Mathematics
  • Science: Mathematics
  • Science: Physics
 572 2009
Homotopy Analysis Method for Nonlinear Differential Equations with Fractional Orders

 Zeitschrift für Naturforschung A
  • Science: Chemistry: Physical and theoretical chemistry
  • Science: Physics
  • Science: Chemistry: Physical and theoretical chemistry
  • Science: Chemistry
 3 2008
An accurate closed-form approximate solution for the quintic Duffing oscillator equation Mathematical and Computer Modelling 30 2010
Application of the differential transformation method to the free vibrations of strongly non-linear oscillators Nonlinear Analysis: Real World Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 32 2009
Citations
Title Journal Journal Categories Citations Publication Date
Multiple exact solutions for the dimensionally reduced p-gBKP equation via bilinear neural network method

 Modern Physics Letters B
  • Science: Physics
  • Science: Physics
  • Science: Mathematics
  • Technology: Chemical technology
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials
  • Science: Physics
 2021
Study of Nonlinear Models of Oscillatory Systems by Applying an Intelligent Computational Technique

 Entropy
  • Science: Astronomy: Astrophysics
  • Science: Physics
  • Science: Physics
  • Science: Physics
 6 2021
Fractal Solitons, Arbitrary Function Solutions, Exact Periodic Wave and Breathers for a Nonlinear Partial Differential Equation by Using Bilinear Neural Network Method Journal of Systems Science and Complexity
  • Science: Mathematics
  • Science: Mathematics
 104 2020
Bright-dark solitons and interaction phenomenon for p-gBKP equation by using bilinear neural network method

 Physica Scripta
  • Science: Physics
  • Science: Physics
 70 2020
Study of strongly nonlinear oscillators using the Aboodh transform and the homotopy perturbation method The European Physical Journal Plus
  • Science: Physics
  • Science: Physics
 19 2019
Citations Analysis
Category Category Repetition
Science: Mathematics9
Science: Physics7
Technology: Engineering (General). Civil engineering (General)4
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods4
Technology: Mechanical engineering and machinery2
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials2
Science: Mathematics: Instruments and machines: Electronic computers. Computer science2
Science: Physics: Heat: Thermodynamics1
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics1
Technology: Chemical technology1
Medicine1
Science1
Science: Science (General)1
Science: Astronomy: Astrophysics1
Technology: Chemical technology: Chemical engineering1
Science: Chemistry1
Technology: Mining engineering. Metallurgy1
Science: Mathematics: Analysis1
The category Science: Mathematics 9 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled An iterative HAM approach for nonlinear boundary value problems in a semi-infinite domain and was published in 2013. The most recent citation comes from a 2021 study titled Multiple exact solutions for the dimensionally reduced p-gBKP equation via bilinear neural network method. This article reached its peak citation in 2015, with 5 citations. It has been cited in 16 different journals, 18% of which are open access. Among related journals, the Physica Scripta cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year