Abstract
Based on the high-order restricted flows of the extended fifth-order KdV (efKdV) equation, the efKdV equation with self-consistent sources (efKdVESCS) is presented and its Lax pair is constructed. Two types of \(N\)th Darboux transformations for the efKdVESCS are constructed. By using Darboux transformations, some types of solutions including one-soliton, two-soliton, and rational solution are explicitly obtained.
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This work was supported by the National Natural Science Foundation of China (Grant No. 11471182).
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Translated from Teoreticheskaya i Matematicheskaya Fizika, 2022, Vol. 210, pp. 213-228 https://doi.org/10.4213/tmf10102.
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Li, F., Yao, Y. Multisoliton and rational solutions for the extended fifth-order KdV equation in fluids with self-consistent sources. Theor Math Phys 210, 184–197 (2022). https://doi.org/10.1134/S0040577922020039
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DOI: https://doi.org/10.1134/S0040577922020039