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.