Special types of elastic resonant soliton solutions of the Kadomtsev-Petviashvili II equation

Year: 2018

Authors: Chen Sh.; Zhou Yi.; Baronio F.; Mihalache D.

Autors Affiliation: Southeast Univ, Dept Phys, Nanjing 211189, Jiangsu, Peoples R China; Univ Brescia, CNR, INO, Via Branze 38, I-25123 Brescia, Italy; Univ Brescia, Dipartimento Ingn Informaz, Via Branze 38, I-25123 Brescia, Italy; Horia Hulubei Natl Inst Phys & Nucl Engn, Dept Theoret Phys, RO-077125 Bucharest, Romania.

Abstract: Special types of exact two-and three-soliton solutions in terms of hyperbolic cosines to the Kadomtsev-Petviashvili II equation are presented, exhibiting rich intriguing interaction patterns on a finite background. The behavior of each line soliton in the far region can be characterized analytically. It is revealed that under certain conditions, there may appear an isolated bump in the interaction center, which is much higher in peak amplitude than the surrounding line solitons, and the more line solitons interact, the higher isolated bump will form. These results may provide a clue to generation of extreme high-amplitude waves, in a reservoir of small waves, based on nonlinear interactions between the involved waves.

Journal/Review: ROMANIAN REPORTS IN PHYSICS

Volume: 70 (1)      Pages from: 102-1  to: 102-16

More Information: This work was supported by the National Natural Science Foundation of China (Grants No. 11174050 and No. 11474051) and by the European Union’s Horizon 2020 Research and Innovation Programme (Marie Sklodowska-Curie Grant No. 691051).
KeyWords: Resonant soliton; Kadomtsev-Petviashvili equation

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Citations: 47
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