ON NEW EXACT TRAVELING WAVE SOLUTIONS OF THE HAMILTONIAN AMPLITUDE EQUATION

Nonlinear differential equations have an important place in mathematical physics. In this paper, the G′/G2 expansion method is used to obtain new exact traveling wave solutions of the Hamiltonian amplitude equation that arise in the analysis of various problems in fluid mechanics and theoretical physics. All calculations in this study are made using the software program and the solutions obtained are substituted in the equations. The solutions obtained have important areas of use in the fields of mathematical physics and engineering.

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Publication Details

Journal
Journal of Science and Arts
Published
2025-03-30
DOI
https://doi.org/10.46939/j.sci.arts-25.1-a06
Primary Topic
Nonlinear Waves and Solitons
Type
article
Field-Weighted Citation Impact
0.00
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article

ON NEW EXACT TRAVELING WAVE SOLUTIONS OF THE HAMILTONIAN AMPLITUDE EQUATION

Ayten Özkan, Neşe Özdemir
Journal of Science and Arts
Nonlinear Waves and Solitons
article

ON NEW EXACT TRAVELING WAVE SOLUTIONS OF THE HAMILTONIAN AMPLITUDE EQUATION

Ayten Özkan, Neşe Özdemir
article en

Abstract

Nonlinear differential equations have an important place in mathematical physics. In this paper, the G′/G2 expansion method is used to obtain new exact traveling wave solutions of the Hamiltonian amplitude equation that arise in the analysis of various problems in fluid mechanics and theoretical physics. All calculations in this study are made using the software program and the solutions obtained are substituted in the equations. The solutions obtained have important areas of use in the fields of mathematical physics and engineering.

Journal of Science and ArtsVol. 25(1)
Istanbul Technical University (TR), Istanbul University (TR)
Openalex Percentile: Top 94%
Nonlinear Waves and Solitons
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