AN EFFICIENT SCHEME FOR TWO DIFFERENT TYPES OF FRACTIONAL EVOLUTION EQUATIONS

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 05, 1-11

Abstract: In this work, the fractional Gross–Pitaevskii equation and fractional Radhakrishnan–Kundu Lakshmanan equation are investigated. A large number of new soliton solutions are obtained by implementing a simple and effective mathematical method, which is called the fractional unified solver method. Moreover, the 3D and 2D graphs are plotted to elaborate on the dynamic characteristics of these acquired solutions.

Keywords: Soliton Solution; Fractional Gross–Pitaevskii Equation; M-Truncated Derivative; Fractional Unified Solver Method (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24500932

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