Complex traveling-wave and solitons solutions to the Klein-Gordon-Zakharov equations

Alphonse Houwe; Souleymanou Abbagari; Yakada Salathiel; Mustafa Inc; Serge Y. Doka; Kofane Timoléon Crépin; Dumitru Baleanu

Results in Physics (Jun 2020)

Complex traveling-wave and solitons solutions to the Klein-Gordon-Zakharov equations

Alphonse Houwe,
Souleymanou Abbagari,
Yakada Salathiel,
Mustafa Inc,
Serge Y. Doka,
Kofane Timoléon Crépin,
Dumitru Baleanu

Affiliations

Alphonse Houwe: Department of Physics, Faculty of Science, The University of Maroua, P.O Box 814, Maroua, Cameroon
Souleymanou Abbagari: Department of Basic Science, Faculty of Mines and Petroleum Industries, University of Maroua, Maroua, Cameroon
Yakada Salathiel: Faculty of industrial engineering of the University of Douala, Douala, Cameroon
Mustafa Inc: Firat University, Science Faculty, Department of Mathematics, 23119 Elazig, Turkey; Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan; Corresponding author at: Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan.
Serge Y. Doka: Department of Physics, Faculty of Science, The University of Ngaoundere, P.O Box 454, Cameroon
Kofane Timoléon Crépin: Laboratory of Mechanics, Materials and Structures, Department of physics, University of Yaounde I, Cameroon; Centre d’Excellence en Technologies de l’Information et de la Communication (CETIC), University of Yaounde I, Yaounde, Cameroon
Dumitru Baleanu: Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan; Cankaya University, Department of Mathematics, Ankara, Turkey; Institute of Space Sciences, Magurele, Bucharest, Romania; Corresponding author at: Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan.

Journal volume & issue: Vol. 17
p. 103127

Abstract

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This paper studies complex solutions and solitons solutions to the Klein-Gordon-Zakharov equations (KGZEs). Solitons solutions including bright, dark, W-shape bright, breather also trigonometric function solutions and singular solutions of KGZEs are obtained by three integration algorithm. From the spatio-temporal and 3-D and 2-D contour plot, it is observed that obtained solutions move without any deformation that implies the steady state of solutions. Furthermore, these solutions will be helpful to explain the interactions in hight frequency plasma and solitary wave theory.

Published in Results in Physics

ISSN: 2211-3797 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Physics
Website: http://www.journals.elsevier.com/results-in-physics/

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