Extended modulational instability and new type of solitary wave in coupled nonlinear Schrödinger equations

M. Haelterman; A. P. Sheppard

doi:10.1016/0375-9601(94)90614-9

Extended modulational instability and new type of solitary wave in coupled nonlinear Schrödinger equations

M. Haelterman^*, A. P. Sheppard

^*Corresponding author for this work

Department of Materials Physics

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

26 Citations (Scopus)

Abstract

We investigate the dynamics of the incoherently coupled nonlinear Schrödinger equations describing the propagation of two waves interacting through a third order nonlinearity. We show that the phenomenon of extended modulational instability induced by incoherent coupling is associated with the existence of a new type of solitary wave. This solitary wave consists of a bound state of two interacting semi-infinite symmetric kink waves.

Original language	English
Pages (from-to)	265-272
Number of pages	8
Journal	Physics Letters A
Volume	185
Issue number	3
DOIs	https://doi.org/10.1016/0375-9601(94)90614-9
Publication status	Published - 14 Feb 1994

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title = "Extended modulational instability and new type of solitary wave in coupled nonlinear Schr{\"o}dinger equations",

abstract = "We investigate the dynamics of the incoherently coupled nonlinear Schr{\"o}dinger equations describing the propagation of two waves interacting through a third order nonlinearity. We show that the phenomenon of extended modulational instability induced by incoherent coupling is associated with the existence of a new type of solitary wave. This solitary wave consists of a bound state of two interacting semi-infinite symmetric kink waves.",

author = "M. Haelterman and Sheppard, \{A. P.\}",

year = "1994",

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T1 - Extended modulational instability and new type of solitary wave in coupled nonlinear Schrödinger equations

AU - Haelterman, M.

AU - Sheppard, A. P.

PY - 1994/2/14

Y1 - 1994/2/14

N2 - We investigate the dynamics of the incoherently coupled nonlinear Schrödinger equations describing the propagation of two waves interacting through a third order nonlinearity. We show that the phenomenon of extended modulational instability induced by incoherent coupling is associated with the existence of a new type of solitary wave. This solitary wave consists of a bound state of two interacting semi-infinite symmetric kink waves.

AB - We investigate the dynamics of the incoherently coupled nonlinear Schrödinger equations describing the propagation of two waves interacting through a third order nonlinearity. We show that the phenomenon of extended modulational instability induced by incoherent coupling is associated with the existence of a new type of solitary wave. This solitary wave consists of a bound state of two interacting semi-infinite symmetric kink waves.

UR - https://www.scopus.com/pages/publications/0038321899

U2 - 10.1016/0375-9601(94)90614-9

DO - 10.1016/0375-9601(94)90614-9

M3 - Article

AN - SCOPUS:0038321899

SN - 0375-9601

VL - 185

SP - 265

EP - 272

JO - Physics Letters A

JF - Physics Letters A

IS - 3

ER -

Extended modulational instability and new type of solitary wave in coupled nonlinear Schrödinger equations

Abstract

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