Proceedings of the International Conference on Geometry, Integrability and Quantization

Solitary Solutions of Coupled KdV and Hirota–Satsuma Differential Equations

A. R. Esfandyari and M. A. Jafarizadeh

Abstract

By considering the set of coupled KdV differential equations as a zero curvature representation of some fourth order linear differential equation and factorizing the linear differential equation, the hierarchy of solutions of the coupled KdV differential equations have been obtained from the eigen spectrum of constant potentials.

Article information

Source
Proceedings of the Third International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov and Gregory L. Naber, eds. (Sofia: Coral Press Scientific Publishing, 2002), 196-208

Dates
First available in Project Euclid: 12 June 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1434145468

Digital Object Identifier
doi:10.7546/giq-3-2002-196-208

Mathematical Reviews number (MathSciNet)
MR1884846

Zentralblatt MATH identifier
1090.35155

Citation

Esfandyari, A. R.; Jafarizadeh, M. A. Solitary Solutions of Coupled KdV and Hirota–Satsuma Differential Equations. Proceedings of the Third International Conference on Geometry, Integrability and Quantization, 196--208, Coral Press Scientific Publishing, Sofia, Bulgaria, 2002. doi:10.7546/giq-3-2002-196-208. https://projecteuclid.org/euclid.pgiq/1434145468


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