Soliton solutions for two nonlinear partial differential equations using a Darboux transformation of the Lax pairs.

Abstract

Two Darboux transformations of the (1+1) -dimensional Wu-Zhang (WZ) equation and the two-component Camassa-Holm (2CH) system with the reciprocal transformation are obtained. One-loop and two-loop soliton solutions and multisoliton(like) solutions of the 2CH system are obtained by using the Darboux transformations and selecting different seed solutions of… (More)

Topics

  • Presentations referencing similar topics