Resonance rogue wave prediction

doi:10.3969/j.issn.0253-2778.2020.02.006

Abstract

Abstract: Rogue wave is a kind of local wave with very steep distribution, very short existence time, and whose peak value is much higher than the surrounding waves. Therefore, taking the (2+1)-dimensional SK equation as an example, the Hirota bilinear method was used to explore a new type of rogue wave(resonance rogue wave), whose formation is closely related to the lump-type soliton. When the lump-type soliton is under the influence of a double-striped soliton, it will appear only momentarily and then disappear immediately, so it becomes a rogue wave. And the characteristic quantities such as the movement track, the existence time, the area and the volume of the strange wave were obtained by the method of theoretical calculation and the combination of number and shape.

Key words: resonance rogue wave, (2+1)-dimensional SK equation, track of motion, existence time

CLC Number:

O175.29

MENG Yong. Resonance rogue wave prediction[J]. Journal of University of Science and Technology of China, 2020, 50(2): 120-127.

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