Similarity Reductions of a Simplified Version of the Hirota-Satsuma Equation by Means of the Clarkson-Kruskal Method

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  • Similarity Reductions of a Simplified V

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The direct method of Clarkson and Kruskal is used to obtain the similarity reductions of a simplified version of the Hirota-Satsuma equation. It is also shown that no similarity reductions can be found by the classical Lie’s method, as there are no infinitesimal transformations that leave invariant the integrodifferential equation under study.

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