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; CNR, INO, Via Branze 38, I-25123 Brescia, Italy and 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.


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

KeyWords: Resonant soliton; Kadomtsev-Petviashvili equation;

Citations: 39
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