Rogue Waves of the Hirota Equation in Terms of Quasi-rational Solutions Depending on Multi-parameters - Archive ouverte HAL
Article Dans Une Revue WSEAS Transactions on Mathematics Année : 2023

Rogue Waves of the Hirota Equation in Terms of Quasi-rational Solutions Depending on Multi-parameters

Résumé

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.

Dates et versions

hal-04329789 , version 1 (07-12-2023)

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Citer

Pierre Gaillard. Rogue Waves of the Hirota Equation in Terms of Quasi-rational Solutions Depending on Multi-parameters. WSEAS Transactions on Mathematics, 2023, 22, pp.190-203. ⟨10.37394/23206.2023.22.24⟩. ⟨hal-04329789⟩
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