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.