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<p>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 <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42452_2025_6857_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\phi ^{6}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>ϕ</mi> <mn>6</mn> </msup> </math></EquationSource> </InlineEquation>-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.</p>

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The interplay of a new dual-mode nonlinear Landau-Ginzburg-Higgs model involves soliton dynamics and stability preservation

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月14日

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  • Nauman Raza,
  • Saima Arshed,
  • Shafiullah Niazai,
  • Isma Ghulam Murtaza,
  • Yahya Almalki

摘要

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.