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In this article, the \((\frac{G'}{G})\) -expansion method along with the \((\frac{G'}{G},\frac{1}{G})\) -expansion method was considered to obtain analytical solutions of fractional order Newell-Whitehead-Segel(FNWS) equation. FNWS equation has paramount significance in nonlinear systems describing different stripe patterns in various surfaces(two-dimensional). The parametric condition influences the periodic solutions, kink solutions, and soliton solutions for the FNWS equation are extracted and classified into hyperbolic, trigonometric, and rational solutions. The numerical results and their graphical simulations are presented by the use of MATLAB.

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Analytical Solutions of Fractional Order Newell-Whitehead-Segel Equation

  • 会议论文

  • 发表日期：

    2025年

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  • Sidheswar Behera

摘要

In this article, the \((\frac{G'}{G})\) -expansion method along with the \((\frac{G'}{G},\frac{1}{G})\) -expansion method was considered to obtain analytical solutions of fractional order Newell-Whitehead-Segel(FNWS) equation. FNWS equation has paramount significance in nonlinear systems describing different stripe patterns in various surfaces(two-dimensional). The parametric condition influences the periodic solutions, kink solutions, and soliton solutions for the FNWS equation are extracted and classified into hyperbolic, trigonometric, and rational solutions. The numerical results and their graphical simulations are presented by the use of MATLAB.