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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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2025-06-01
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| Series: | Discover Applied Sciences |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s42452-025-06857-x |
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| Summary: | 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. |
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| ISSN: | 3004-9261 |