Scholarlink

<p>Investigation of transmission behaviors of ferromagnetic molecules through ferrite material are vigorous with its applications in communication via internet, information transmission and storing technologies, etc. In this article, the nonlinear ultra-short wave pulse motions in certain saturated ferromagnetic materials including external field excluding conductivity are investigated through Kraenkel–Manna–Merle (KMM) system. Such dynamical features are treated in fractional differential sense. Firstly, we introduce the model in Jumarie’s Riemann–Liouville derivative (JRLD), and convert the model in this sense. Then we use the extended <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12648_2025_3592_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="43" /> </InlineMediaObject> <EquationSource Format="TEX">\((\Xi ,\Lambda )\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi mathvariant="normal">Ξ</mi> <mo>,</mo> <mi mathvariant="normal">Λ</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> expansion and new extended <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12648_2025_3592_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="53" /> </InlineMediaObject> <EquationSource Format="TEX">\((G^{\prime}/G)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <msup> <mi>G</mi> <mo>′</mo> </msup> <mo stretchy="false">/</mo> <mi>G</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> expansion schemes to integrate the fractional model. Utilizing the techniques, ferromagnetic solitary wave dynamics and periodic wave pattern are envisioned. Self-interacting soliton solution in looping structure of independent variable against magnetization and the peripheral magnetic fields are also achieved. We illustrated the 3D profiles and demonstrated the damping effects as well as fractional effects on the wave profiles taking enough 2D sketches in each single plot.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Dynamics of ferromagnetic solitons and periodic wave pattern in fractional sense by three integral schemes

  • 期刊论文

  • 发表日期：

    2025年4月17日

查看全文
  • Mst. Razia Pervin,
  • Harun-Or-Roshid,
  • Pinakee Dey,
  • Shewli Shamim Shanta

摘要

Investigation of transmission behaviors of ferromagnetic molecules through ferrite material are vigorous with its applications in communication via internet, information transmission and storing technologies, etc. In this article, the nonlinear ultra-short wave pulse motions in certain saturated ferromagnetic materials including external field excluding conductivity are investigated through Kraenkel–Manna–Merle (KMM) system. Such dynamical features are treated in fractional differential sense. Firstly, we introduce the model in Jumarie’s Riemann–Liouville derivative (JRLD), and convert the model in this sense. Then we use the extended \((\Xi ,\Lambda )\) ( Ξ , Λ ) expansion and new extended \((G^{\prime}/G)\) ( G ′ / G ) expansion schemes to integrate the fractional model. Utilizing the techniques, ferromagnetic solitary wave dynamics and periodic wave pattern are envisioned. Self-interacting soliton solution in looping structure of independent variable against magnetization and the peripheral magnetic fields are also achieved. We illustrated the 3D profiles and demonstrated the damping effects as well as fractional effects on the wave profiles taking enough 2D sketches in each single plot.