The interplay of a new dual-mode nonlinear Landau-Ginzburg-Higgs model involves soliton dynamics and stability preservation
Abstract This document presents an augmentation to the nonlinear Landau-Ginzburg-Higgs equation through a metamorphosis into a dual-mode version utilizing Korsunsky’s sense. The recently formulated framework is distinguished by the depiction of wave propagation of dual waves moving simultaneously in...
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| Format: | Article |
| Language: | English |
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Springer
2025-06-01
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| Series: | Discover Applied Sciences |
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| Online Access: | https://doi.org/10.1007/s42452-025-06857-x |
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| author | Nauman Raza Saima Arshed Shafiullah Niazai Isma Ghulam Murtaza Yahya Almalki |
| author_facet | Nauman Raza Saima Arshed Shafiullah Niazai Isma Ghulam Murtaza Yahya Almalki |
| author_sort | Nauman Raza |
| collection | DOAJ |
| description | Abstract This document presents an augmentation to the nonlinear Landau-Ginzburg-Higgs equation through a metamorphosis into a dual-mode version utilizing Korsunsky’s sense. The recently formulated framework is distinguished by the depiction of wave propagation of dual waves moving simultaneously in opposite directions. Employing the $$\phi ^{6}$$ ϕ 6 -model integrating architecture, we extract solitary wave solutions for this modified framework. Additionally, the physical properties of the newly formed dual-mode model is discussed in the presence of second-order temporal derivative that highlights binary waves with symmetry. This research furnishes the construction of novel solutions, along with the graphical illustrations. This investigation makes a substantial contribution to our understanding of this model. Lastly, captivating 3D plots are acquired for the new framework, and the stability of the provided equation is scrutinised. |
| format | Article |
| id | doaj-art-dcaec99ef25e434c98846bfe8d48df7d |
| institution | DOAJ |
| issn | 3004-9261 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Springer |
| record_format | Article |
| series | Discover Applied Sciences |
| spelling | doaj-art-dcaec99ef25e434c98846bfe8d48df7d2025-08-20T03:21:03ZengSpringerDiscover Applied Sciences3004-92612025-06-017612010.1007/s42452-025-06857-xThe interplay of a new dual-mode nonlinear Landau-Ginzburg-Higgs model involves soliton dynamics and stability preservationNauman Raza0Saima Arshed1Shafiullah Niazai2Isma Ghulam Murtaza3Yahya Almalki4Department of Mathematics, University of the PunjabDepartment of Mathematics, University of the PunjabDepartment of Mathematics, Education faculty, Laghman UniversityDepartment of Mathematics, University of the PunjabDepartment of Mathematics, College of Science, King Khalid UniversityAbstract This document presents an augmentation to the nonlinear Landau-Ginzburg-Higgs equation through a metamorphosis into a dual-mode version utilizing Korsunsky’s sense. The recently formulated framework is distinguished by the depiction of wave propagation of dual waves moving simultaneously in opposite directions. Employing the $$\phi ^{6}$$ ϕ 6 -model integrating architecture, we extract solitary wave solutions for this modified framework. Additionally, the physical properties of the newly formed dual-mode model is discussed in the presence of second-order temporal derivative that highlights binary waves with symmetry. This research furnishes the construction of novel solutions, along with the graphical illustrations. This investigation makes a substantial contribution to our understanding of this model. Lastly, captivating 3D plots are acquired for the new framework, and the stability of the provided equation is scrutinised.https://doi.org/10.1007/s42452-025-06857-xSolitonDual-mode nonlinear Landau-Ginzburg-Higgs equationNew $$\phi ^{6}$$ ϕ 6 -model expansion methodLinear stability |
| spellingShingle | Nauman Raza Saima Arshed Shafiullah Niazai Isma Ghulam Murtaza Yahya Almalki The interplay of a new dual-mode nonlinear Landau-Ginzburg-Higgs model involves soliton dynamics and stability preservation Discover Applied Sciences Soliton Dual-mode nonlinear Landau-Ginzburg-Higgs equation New $$\phi ^{6}$$ ϕ 6 -model expansion method Linear stability |
| title | The interplay of a new dual-mode nonlinear Landau-Ginzburg-Higgs model involves soliton dynamics and stability preservation |
| title_full | The interplay of a new dual-mode nonlinear Landau-Ginzburg-Higgs model involves soliton dynamics and stability preservation |
| title_fullStr | The interplay of a new dual-mode nonlinear Landau-Ginzburg-Higgs model involves soliton dynamics and stability preservation |
| title_full_unstemmed | The interplay of a new dual-mode nonlinear Landau-Ginzburg-Higgs model involves soliton dynamics and stability preservation |
| title_short | The interplay of a new dual-mode nonlinear Landau-Ginzburg-Higgs model involves soliton dynamics and stability preservation |
| title_sort | interplay of a new dual mode nonlinear landau ginzburg higgs model involves soliton dynamics and stability preservation |
| topic | Soliton Dual-mode nonlinear Landau-Ginzburg-Higgs equation New $$\phi ^{6}$$ ϕ 6 -model expansion method Linear stability |
| url | https://doi.org/10.1007/s42452-025-06857-x |
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