Solitary Solutions of Coupled KdV and Hirota–Satsuma Differential Equations

Esfandyari, A. R.; Jafarizadeh, M. A.

doi:10.7546/giq-3-2002-196-208

VOL. 3 | 2002 Solitary Solutions of Coupled KdV and Hirota–Satsuma Differential Equations

Chapter Author(s) A. R. Esfandyari, M. A. Jafarizadeh

Editor(s) Ivaïlo M. Mladenov, Gregory L. Naber

Geom. Integrability & Quantization, 2002: 196-208 (2002) DOI: 10.7546/giq-3-2002-196-208

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.