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Original Articles

N-solitons, breathers and rogue waves for a generalized Boussinesq equation

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Pages 1648-1661 | Received 03 May 2019, Accepted 19 Jun 2019, Published online: 08 Jul 2019
 

Abstract

A particular attention is paid on a generalized nonlinear Boussinesq equation which can be used to describe the wave dynamics in fluids. Via symbolic computation method, analytical N-soliton solutions, three types of breather solutions (namely, Kuznetsov-Ma, Akhmediev and generalized breather solutions), and rogue wave solutions are obtained. The extreme points of rogue waves are analyzed in detail. Furthermore, a type of novel X-like soliton is observed.

2010 MATHEMATICS SUBJECT CLASSIFICATIONS:

Disclosure statement

No potential conflict of interest was reported by the author.

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