A small dispersion limit to the long wave-short wave interaction equations

Gulcin M. Muslu; Emine Kesici; Goksu Oruc

doi:10.1063/1.4992735

A small dispersion limit to the long wave-short wave interaction equations

Gulcin M. Muslu^*, Emine Kesici, Goksu Oruc

^*Corresponding author for this work

Department of Mathematics Engineering

Istanbul Technical University

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

Abstract

We study the small dispersion limit for the three coupled long wave-short wave interaction (LSI) equations, numerically. For this aim, a numerical scheme combining the Fourier pseudo-spectral method in space and a Runge Kutta method in time is constructed. To understand the small dispersion limit, plane wave and solitary wave solutions of LSI equations are considered.

Original language	English
Title of host publication	International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016
Editors	Theodore E. Simos, Theodore E. Simos, Charalambos Tsitouras
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735415386
DOIs	https://doi.org/10.1063/1.4992735
Publication status	Published - 21 Jul 2017
Event	International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 - Rhodes, Greece Duration: 19 Sept 2016 → 25 Sept 2016

Publication series

Name	AIP Conference Proceedings
Volume	1863
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016
Country/Territory	Greece
City	Rhodes
Period	19/09/16 → 25/09/16

Bibliographical note

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© 2017 Author(s).

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10.1063/1.4992735

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Muslu, G. M., Kesici, E., & Oruc, G. (2017). A small dispersion limit to the long wave-short wave interaction equations. In T. E. Simos, T. E. Simos, & C. Tsitouras (Eds.), International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016 Article 560052 (AIP Conference Proceedings; Vol. 1863). American Institute of Physics Inc.. https://doi.org/10.1063/1.4992735

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title = "A small dispersion limit to the long wave-short wave interaction equations",

abstract = "We study the small dispersion limit for the three coupled long wave-short wave interaction (LSI) equations, numerically. For this aim, a numerical scheme combining the Fourier pseudo-spectral method in space and a Runge Kutta method in time is constructed. To understand the small dispersion limit, plane wave and solitary wave solutions of LSI equations are considered.",

author = "Muslu, {Gulcin M.} and Emine Kesici and Goksu Oruc",

note = "Publisher Copyright: {\textcopyright} 2017 Author(s).; International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 ; Conference date: 19-09-2016 Through 25-09-2016",

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doi = "10.1063/1.4992735",

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Muslu, GM, Kesici, E & Oruc, G 2017, A small dispersion limit to the long wave-short wave interaction equations. in TE Simos, TE Simos & C Tsitouras (eds), International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016., 560052, AIP Conference Proceedings, vol. 1863, American Institute of Physics Inc., International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016, Rhodes, Greece, 19/09/16. https://doi.org/10.1063/1.4992735

A small dispersion limit to the long wave-short wave interaction equations. / Muslu, Gulcin M.; Kesici, Emine; Oruc, Goksu.
International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. ed. / Theodore E. Simos; Theodore E. Simos; Charalambos Tsitouras. American Institute of Physics Inc., 2017. 560052 (AIP Conference Proceedings; Vol. 1863).

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

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AU - Muslu, Gulcin M.

AU - Kesici, Emine

AU - Oruc, Goksu

PY - 2017/7/21

Y1 - 2017/7/21

N2 - We study the small dispersion limit for the three coupled long wave-short wave interaction (LSI) equations, numerically. For this aim, a numerical scheme combining the Fourier pseudo-spectral method in space and a Runge Kutta method in time is constructed. To understand the small dispersion limit, plane wave and solitary wave solutions of LSI equations are considered.

AB - We study the small dispersion limit for the three coupled long wave-short wave interaction (LSI) equations, numerically. For this aim, a numerical scheme combining the Fourier pseudo-spectral method in space and a Runge Kutta method in time is constructed. To understand the small dispersion limit, plane wave and solitary wave solutions of LSI equations are considered.

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DO - 10.1063/1.4992735

M3 - Conference contribution

AN - SCOPUS:85026643576

T3 - AIP Conference Proceedings

BT - International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016

A2 - Simos, Theodore E.

A2 - Tsitouras, Charalambos

PB - American Institute of Physics Inc.

T2 - International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016

Y2 - 19 September 2016 through 25 September 2016

ER -

A small dispersion limit to the long wave-short wave interaction equations

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