Journal
THEORETICAL AND MATHEMATICAL PHYSICS
Volume 210, Issue 2, Pages 184-197Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S0040577922020039
Keywords
extended fifth-order KdV equation with self-consistent sources; restricted flow; Darboux transformation; multisoliton; rational solution
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Funding
- National Natural Science Foundation of China [11471182]
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Based on the high-order restricted flows of the extended fifth-order KdV equation, the efKdV equation with self-consistent sources (efKdVESCS) is presented and its Lax pair is constructed. Two types of Nth Darboux transformations for the efKdVESCS are constructed. Various types of solutions including one-soliton, two-soliton, and rational solution are explicitly obtained using Darboux transformations.
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 Nth 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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