Geodesic
Multisoliton and rational solutions for the extended fifth-order KdV equation in fluids with self-consistent sources
Teoretičeskaâ i matematičeskaâ fizika, Tome 210 (2022) no. 2, pp. 213-228 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: extended fifth-order KdV equation with self-consistent sources, restricted flow
Mots-clés : Darboux transformation, multisoliton, rational solution. 
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F. Li; Yuqin Yao. Multisoliton and rational solutions for the extended fifth-order KdV equation in fluids with self-consistent sources. Teoretičeskaâ i matematičeskaâ fizika, Tome 210 (2022) no. 2, pp. 213-228. http://geodesic.mathdoc.fr/item/TMF_2022_210_2_a2/

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