Special types of elastic resonant soliton solutions of the Kadomtsev-Petviashvili II equation
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.
Journal/Review: ROMANIAN REPORTS IN PHYSICS
Volume: 70 (1) Pages from: 102-1 to: 102-16
KeyWords: Resonant soliton; Kadomtsev-Petviashvili equation; Citations: 36data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2022-05-22References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here