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<p>This work investigates the intricate dynamics of the (1+1)-dimensional Hodgkin–Huxley model with conformable derivatives in order to find new soliton solutions using the <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(G'/G\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>G</mi> <mo>′</mo> </msup> <mo stretchy="false">/</mo> <mi>G</mi> </mrow> </math></EquationSource> </InlineEquation>-expansion method. This research not only advances our understanding of complex systems but also opens up new avenues for novel applications in fields like neuroscience, optical fiber communications, and plasma physics. The anticipated outcomes could lead to new understandings of signal transmission, wave propagation in nonlinear media, and neuronal dynamics. This work shows that the <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(G'/G\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>G</mi> <mo>′</mo> </msup> <mo stretchy="false">/</mo> <mi>G</mi> </mrow> </math></EquationSource> </InlineEquation>-expansion method can be used to find new soliton solutions, providing a promising direction for future nonlinear science and its applications.</p>

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Exploration of the N-soliton solutions for Hodgkin–Huxley model via \(G'/G\)-expansion method

  • 期刊论文

  • 发表日期：

    2026年1月29日

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  • Muhammad Bilal,
  • Fehaid Salem Alshammari,
  • Javed Iqbal,
  • Karim K. Ahmed

摘要

This work investigates the intricate dynamics of the (1+1)-dimensional Hodgkin–Huxley model with conformable derivatives in order to find new soliton solutions using the \(G'/G\) G ′ / G -expansion method. This research not only advances our understanding of complex systems but also opens up new avenues for novel applications in fields like neuroscience, optical fiber communications, and plasma physics. The anticipated outcomes could lead to new understandings of signal transmission, wave propagation in nonlinear media, and neuronal dynamics. This work shows that the \(G'/G\) G ′ / G -expansion method can be used to find new soliton solutions, providing a promising direction for future nonlinear science and its applications.