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Novel Investigation Of Fractional Long- And Short-Wave Interaction System

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  • KANG-LE WANG

    (School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, P. R. China)

Abstract

In ocean engineering, the long- and short-wave interaction system represents a crucial nonlinear evolution equation that elucidates the resonant interaction phenomenon between ocean waves. In this study, we describe the fractional long and short-wave interaction (FLSWI) system employing the M-truncated derivative. Subsequently, we employ the extended fractional tanhχ −cothχ and the fractional csc hχ methods to address the FLSWI system. These two approaches yields novel and intriguing soliton solutions. To further elucidate the derived soliton solutions, three-dimensional visualizations are constructed and analyzed.

Suggested Citation

  • Kang-Le Wang, 2024. "Novel Investigation Of Fractional Long- And Short-Wave Interaction System," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(01), pages 1-12.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:01:n:s0218348x24500233
    DOI: 10.1142/S0218348X24500233
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