Multi-hump bright and dark solitons for the Schrödinger-Korteweg-de Vries coupled system

Hugo Parra Prado, Luis A. Cisneros-Ake

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

The Hirota bilinear method is extended to find one- and two-hump exact bright and dark soliton solutions to a coupled system between the linear Schrödinger and Korteweg-de Vries (KdV) equations arising in the energy transfer problem along a cubic anharmonic crystal medium. The bilinear form associated to this system is found by imitating the well known bilinearizing transformations used in the standard nonlinear Schrödinger (NLS) and KdV equations. Proper finite exponential expansions in the transformed variables allow one to exhibit multihump soliton solutions as single entities resulting from the adjustment of appropriate dispersion relations between the wave parameters describing the profiles. It is found that such one- and two-hump solutions correspond to the one- and two-KdV solitons trapped by both the bright and dark-gray NLS solitons. Our two-hump bright and dark solutions represent novel solutions for the type of interactions and nonlinearities considered.

Original languageEnglish
Article number053133
JournalChaos
Volume29
Issue number5
DOIs
StatePublished - 1 May 2019

Fingerprint

Dive into the research topics of 'Multi-hump bright and dark solitons for the Schrödinger-Korteweg-de Vries coupled system'. Together they form a unique fingerprint.

Cite this