Vibrating and shaking soliton pairs in dissipative systems

N. Akhmediev; J. M. Soto-Crespo; Ph Grelu

doi:10.1016/j.physleta.2006.12.011

Vibrating and shaking soliton pairs in dissipative systems

N. Akhmediev, J. M. Soto-Crespo^*, Ph Grelu

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

We show that two-soliton solutions in nonlinear dissipative systems can exist in various forms. As with single solitons, they can be stationary, periodic or chaotic. In particular, we find new types of vibrating and shaking soliton pairs. Each type of pair is stable in the sense that the bound state exists in the same form indefinitely.

Original language	English
Pages (from-to)	413-416
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	364
Issue number	5
DOIs	https://doi.org/10.1016/j.physleta.2006.12.011
Publication status	Published - 7 May 2007

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10.1016/j.physleta.2006.12.011

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title = "Vibrating and shaking soliton pairs in dissipative systems",

abstract = "We show that two-soliton solutions in nonlinear dissipative systems can exist in various forms. As with single solitons, they can be stationary, periodic or chaotic. In particular, we find new types of vibrating and shaking soliton pairs. Each type of pair is stable in the sense that the bound state exists in the same form indefinitely.",

author = "N. Akhmediev and Soto-Crespo, \{J. M.\} and Ph Grelu",

year = "2007",

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T1 - Vibrating and shaking soliton pairs in dissipative systems

AU - Akhmediev, N.

AU - Soto-Crespo, J. M.

AU - Grelu, Ph

PY - 2007/5/7

Y1 - 2007/5/7

N2 - We show that two-soliton solutions in nonlinear dissipative systems can exist in various forms. As with single solitons, they can be stationary, periodic or chaotic. In particular, we find new types of vibrating and shaking soliton pairs. Each type of pair is stable in the sense that the bound state exists in the same form indefinitely.

AB - We show that two-soliton solutions in nonlinear dissipative systems can exist in various forms. As with single solitons, they can be stationary, periodic or chaotic. In particular, we find new types of vibrating and shaking soliton pairs. Each type of pair is stable in the sense that the bound state exists in the same form indefinitely.

UR - https://www.scopus.com/pages/publications/33947420386

U2 - 10.1016/j.physleta.2006.12.011

DO - 10.1016/j.physleta.2006.12.011

M3 - Article

SN - 0375-9601

VL - 364

SP - 413

EP - 416

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 5

ER -

Vibrating and shaking soliton pairs in dissipative systems

Abstract

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