Higher-order long-wave short-wave interaction equations in a generalized elastic solid

Irma Hacinliyan

doi:10.1063/1.3636941

Higher-order long-wave short-wave interaction equations in a generalized elastic solid

Irma Hacinliyan^*

^*Corresponding author for this work

Department of Mathematics Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this study, three coupled higher-order long-wave short-wave interaction (HOLSI) equations are derived in a cubically nonlinear dispersive elastic medium by using an asymptotic expansion method. To this end, it is observed that the coupled higher-order nonlinear Schrödinger (CHONLS) system is not valid for a case where the phase velocity of the long longitudinal wave is equal to the group velocity of the short transverse waves.

Original language	English
Title of host publication	Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics
Pages	1719-1722
Number of pages	4
DOIs	https://doi.org/10.1063/1.3636941
Publication status	Published - 2011
Event	International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011 - Halkidiki, Greece Duration: 19 Sept 2011 → 25 Sept 2011

Publication series

Name	AIP Conference Proceedings
Volume	1389
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011
Country/Territory	Greece
City	Halkidiki
Period	19/09/11 → 25/09/11

Keywords

Long-wave short-wave interactions
wave propagation

Access to Document

10.1063/1.3636941

Cite this

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title = "Higher-order long-wave short-wave interaction equations in a generalized elastic solid",

abstract = "In this study, three coupled higher-order long-wave short-wave interaction (HOLSI) equations are derived in a cubically nonlinear dispersive elastic medium by using an asymptotic expansion method. To this end, it is observed that the coupled higher-order nonlinear Schr{\"o}dinger (CHONLS) system is not valid for a case where the phase velocity of the long longitudinal wave is equal to the group velocity of the short transverse waves.",

keywords = "Long-wave short-wave interactions, wave propagation",

author = "Irma Hacinliyan",

year = "2011",

doi = "10.1063/1.3636941",

language = "English",

isbn = "9780735409569",

series = "AIP Conference Proceedings",

pages = "1719--1722",

booktitle = "Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics",

note = "International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011 ; Conference date: 19-09-2011 Through 25-09-2011",

}

Hacinliyan, I 2011, Higher-order long-wave short-wave interaction equations in a generalized elastic solid. in Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics. AIP Conference Proceedings, vol. 1389, pp. 1719-1722, International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011, Halkidiki, Greece, 19/09/11. https://doi.org/10.1063/1.3636941

Higher-order long-wave short-wave interaction equations in a generalized elastic solid. / Hacinliyan, Irma.
Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics. 2011. p. 1719-1722 (AIP Conference Proceedings; Vol. 1389).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - In this study, three coupled higher-order long-wave short-wave interaction (HOLSI) equations are derived in a cubically nonlinear dispersive elastic medium by using an asymptotic expansion method. To this end, it is observed that the coupled higher-order nonlinear Schrödinger (CHONLS) system is not valid for a case where the phase velocity of the long longitudinal wave is equal to the group velocity of the short transverse waves.

AB - In this study, three coupled higher-order long-wave short-wave interaction (HOLSI) equations are derived in a cubically nonlinear dispersive elastic medium by using an asymptotic expansion method. To this end, it is observed that the coupled higher-order nonlinear Schrödinger (CHONLS) system is not valid for a case where the phase velocity of the long longitudinal wave is equal to the group velocity of the short transverse waves.

KW - Long-wave short-wave interactions

KW - wave propagation

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DO - 10.1063/1.3636941

M3 - Conference contribution

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BT - Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics

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Y2 - 19 September 2011 through 25 September 2011

ER -

Higher-order long-wave short-wave interaction equations in a generalized elastic solid

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