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Open Physics

formerly Central European Journal of Physics

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Volume 9, Issue 3 (Jun 2011)

Issues

Integrability of coupled KdV equations

Abdul-Majid Wazwaz
  • Department of Mathematics, Saint Xavier University, Chicago, IL, 60655, USA
  • Email:
Published Online: 2011-02-26 | DOI: https://doi.org/10.2478/s11534-010-0084-y

Abstract

The integrability of coupled KdV equations is examined. The simplified form of Hirota’s bilinear method is used to achieve this goal. Multiple-soliton solutions and multiple singular soliton solutions are formally derived for each coupled KdV equation. The resonance phenomenon of each model will be examined.

Keywords: coupled KdV equation; Hirota’s bilinear method; multiple soliton solutions; resonance

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About the article

Published Online: 2011-02-26

Published in Print: 2011-06-01



Citation Information: Open Physics, ISSN (Online) 2391-5471, DOI: https://doi.org/10.2478/s11534-010-0084-y. Export Citation

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