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Discussion reveals explicit solutions of the KdV hierarchy and integrates fractional Burgers equations.
Linear and integrable non-linear fractional evolution equations are discussed. Earlier results for the integrable fractional Korteweg–deVries (KdV) equation and the KdV hierarchy are reviewed. Using these as a guide, the fractional integrable Burgers equation and hierarchy and its solutions are analysed. Some explicit solutions are provided.
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Ablowitz et al. (2025) studied this question.
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