Stability Analysis and Soliton Solutions of the Nonlinear Evolution Equation by Homoclinic Technique Based on Hirota Bilinear Form

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dc.contributor.authorYokus, Asif
dc.contributor.authorIsah, Muhammad Abubakar
dc.date.accessioned2023-11-10T08:53:03Z
dc.date.available2023-11-10T08:53:03Z
dc.date.issued2023en_US
dc.departmentÄ°stanbul Ticaret Ãœniversitesien_US
dc.description.abstractThe novel KdV model plays a significant part in the discovery of a variety of nonlinear ion acoustic wave and harmonic crystal phenomena. The new homoclinic method based on the Hirota bilinear form is used to create the bilinear form of the new KdV equation and uncover numerous new exact solu tions. The stability of the solutions is studied in this article using the modulation instability. The results show novel mechanical structures and new properties for this evolution equation. The physical dynamics of the traveling wave solutions produced by the recently suggested homoclinic approach to reinforce the Hirota bilinear method are investigated, the obtained solutions are represented using 2?dimensional, 3?dimensional and contour plots. To guarantee their existence, all the solutions that have been found are inserted into the model. These results open up a new opportunity for us to thoroughly investigate the model. Numerous exciting physical occurrences in the fields of shallow-water waves, ion-acoustic waves in plasma, acoustic waves in harmonic crystal and other related phenomena are reported using the existing work on a regular basisen_US
dc.identifier.doi10.1109/ICFDA58234.2023.10153171en_US
dc.identifier.scopus2-s2.0-85164537850en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://hdl.handle.net/11467/6984
dc.identifier.urihttps://doi.org/10.1109/ICFDA58234.2023.10153171
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherInstitute of Electrical and Electronics Engineers Inc.en_US
dc.relation.ispartof2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Başka Kurum Yazarıen_US
dc.rightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.subjectThe new KdV equation; Hirota bilinear method; Homoclinic approach; Solitary wave solution; Complexiton solutionen_US
dc.titleStability Analysis and Soliton Solutions of the Nonlinear Evolution Equation by Homoclinic Technique Based on Hirota Bilinear Formen_US
dc.typeConference Objecten_US

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