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<p>This study examines the effects of a laminar, incompressible, two-dimensional magnetohydrodynamic (MHD) flow subjected to a magnetic field between two orthogonally moving porous plates. By applying a similarity transformation, the governing equations are reduced to a nonlinear ordinary differential equation. We have derived an analytical solution using the generalized Riccati equation mapping method. This work investigates the effect of wall growth ratio <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\Psi\)</EquationSource> </InlineEquation> on soliton solutions of velocity profiles in an MHD flow between rotating porous discs using the generalized Riccati equation mapping method.</p>

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Nonlinear Soliton Structures in Magnetohydrodynamic Flow Between Porous Plates

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月17日

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  • Beenish,
  • M. K. M. Ali,
  • Abdulghani Muhyi,
  • Khaled Aldwoah

摘要

This study examines the effects of a laminar, incompressible, two-dimensional magnetohydrodynamic (MHD) flow subjected to a magnetic field between two orthogonally moving porous plates. By applying a similarity transformation, the governing equations are reduced to a nonlinear ordinary differential equation. We have derived an analytical solution using the generalized Riccati equation mapping method. This work investigates the effect of wall growth ratio \(\Psi\) on soliton solutions of velocity profiles in an MHD flow between rotating porous discs using the generalized Riccati equation mapping method.