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

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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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     author = {F. Li and Yuqin Yao},
     title = {Multisoliton and rational solutions for the~extended fifth-order {KdV} equation in fluids with self-consistent sources},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {213--228},
     publisher = {mathdoc},
     volume = {210},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2022_210_2_a2/}
}
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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/