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<p>This study presents a hybrid analytical and numerical solution to the Fractional Modified Camassa-Holm (FMCH) equation, which extends the classical nonlinear partial differential equation by incorporating fractional calculus which enabling the analysis of complex dynamics with non-local and memory-dependent effects. Utilizing the innovative Laplace Residual Power Series Method (LRPSM), this research derives an accurate and efficient solution to the FMCH equation, capturing the intricate dynamics of wave behavior. Applying LRPSM provides a rigorous mathematical framework for understanding and predicting real-world wave phenomena.</p>

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Fractional Variants of the Modified Camassa-Holm Equation: Analytical and Numerical Approach

  • 期刊论文

  • 发表日期：

    2026年2月4日

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  • Kottakkaran Sooppy Nisar,
  • R. Jagatheeshwari,
  • B. Arun,
  • M. Sathya,
  • C. Ravichandran

摘要

This study presents a hybrid analytical and numerical solution to the Fractional Modified Camassa-Holm (FMCH) equation, which extends the classical nonlinear partial differential equation by incorporating fractional calculus which enabling the analysis of complex dynamics with non-local and memory-dependent effects. Utilizing the innovative Laplace Residual Power Series Method (LRPSM), this research derives an accurate and efficient solution to the FMCH equation, capturing the intricate dynamics of wave behavior. Applying LRPSM provides a rigorous mathematical framework for understanding and predicting real-world wave phenomena.