Quasi-rational solutions of the Hirota equation depending on multi-parameters and rogue waves

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Quasi-rational solutions of the Hirota equation depending on multi-parameters and rogue waves

subject

Hirota equation quasi-rational solutions [MATH] Mathematics [math]

description

Quasi-rational solutions to the Hirota equation are given. We construct 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.

year	journal	country	edition	language
2023-01-01

https://hal.science/hal-04101514

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