An attempt to give exact solitary and periodic wave polynomial solutions to the nonlinear Klein-Gordon-Schrodinger equations

Yumak A., Boubaker K., Petkova P.

CHAOS SOLITONS & FRACTALS, vol.81, pp.299-302, 2015 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 81
  • Publication Date: 2015
  • Doi Number: 10.1016/j.chaos.2015.09.031
  • Journal Name: CHAOS SOLITONS & FRACTALS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.299-302
  • Keywords: Klein-Gordon-Schrodinger, Quantum dot, Boubaker polynomials expansion scheme, BPES, Traveling wave, EXPANSION SCHEME BPES, CLOSED QUANTUM DOTS, BOUBAKER POLYNOMIALS, MODEL, ABACUS, MEDIA
  • Marmara University Affiliated: Yes

Abstract

This study proposes exact solitary and periodic wave polynomial solutions to the nonlinear Klein-Gordon-Schrodinger equation in nonlinearly dispersive Schrodinger equation in a particular geometry. These solutions include integer coefficient polynomial function type and are found as such for the first time for the particular case of an electron which is confined inside a spherical finite quantum dot. The results were compared to recently published records so far. (C) 2015 Elsevier Ltd. All rights reserved.