NOVEL INVESTIGATION OF FRACTIONAL LONG- AND SHORT-WAVE INTERACTION SYSTEM

Kang-Le Wang ()
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Kang-Le Wang: School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, P. R. China

FRACTALS (fractals), 2024, vol. 32, issue 01, 1-12

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.

Keywords: M-Truncated Derivative; Soliton Solution; Extended Fractional tanhχ −cothχ Method; Fractional cschχ Method (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24500233

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