Diverse variety of exact solutions for some nonlinear models via the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg" display="inline" id="d1e602"><mml:mrow><mml:mo>(</mml:mo><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:mfrac><mml:mo>)</mml:mo></mml:mrow></mml:math>-expansion method

Hussain, Akhtar; Ali, Hassan; Zaman, F.D.; Abbas, Naseem

doi:10.1016/j.padiff.2024.100868

Partial Differential Equations in Applied Mathematics

2024

DOI: 10.1016/j.padiff.2024.100868

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Diverse variety of exact solutions for some nonlinear models via the (G′G)-expansion method

Akhtar Hussain,

Hassan Ali,

F.D. Zaman

et al.

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Cited by 1 publication

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Nonlinear analysis of compound pendulum model

Zhang

2024

Phys. Scr.

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This paper investigates the relationships among various nonlinear physi cal equations, with a particular focus on the standard form of the ϕ^4 equation. Based on the theoretical framework of the Jacobi elliptic function, an exact solution for the ϕ^4 equation is derived. A key innovation of this work is the discovery of the consistency between the ϕ^4 equation and the motion equation of the compound pendulum. By utilizing this correspondence, an exact solution for the compound pendulum equation is obtained, grounded in the Jacobi elliptic function theory. Compared to numerical methods, this solution provides higher accuracy and has the potential to be applied tomore complex nonlinear physical systems. This model can also be applied in areas such as vibration damping in building materials, mechanical system analysis, and spacecraft control.

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Nonlinear analysis of compound pendulum model

Zhang

2024

Phys. Scr.

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scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

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Diverse variety of exact solutions for some nonlinear models via the (G′G)-expansion method

Cited by 1 publication

References 27 publications

Nonlinear analysis of compound pendulum model

Nonlinear analysis of compound pendulum model

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