Pierre Gaillard, "Rogue Waves of the Hirota Equation in Terms of Quasi-rational Solutions Depending on Multi-parameters," WSEAS Transactions on Mathematics, vol. 22, pp. 190-203, 2023, DOI:10.37394/23206.2023.22.24
Pierre Gaillard. Rogue Waves of the Hirota Equation in Terms of Quasi-rational Solutions Depending on Multi-parameters.
WSEAS Transactions on Mathematics. 2023;22:190-203. 10.37394/23206.2023.22.24
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769 , E-ISSN: 2224-2880
Volume 22, 2023
Rogue Waves of the Hirota Equation in Terms of Quasi-rational Solutions Depending on Multi-parameters
Author:
Abstract: Quasi-rational solutions to the Hirota equation are given. We con- struct explicit expressions of these solutions for the first orders. As a byproduct, we get quasi-rational solutions to the focusing NLS equation and also rational solutions to the mKdV equation. We study the patterns of these configurations in the (x, t) plane.
Pages: 190-203 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 22, 2023, Art. #24 DOI: 10.37394/23206.2023.22.24
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