Modulational instability and multiple rogue wave solutions for the generalized CBS

Modulational instability and multiple rogue wave solutions for the generalized CBS–BK equation

Published:2021-07-23 Issue:24 Volume:35 Page:2150408
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Gang Wang¹,Manafian Jalil²³^ORCID,Benli Fatma Berna⁴,İlhan Onur Alp⁴,Goldaran Reza⁵

Affiliation:

1. School of Science, Hubei University of Technology, Wuhan, Hubei 430068, P. R. China

2. Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

3. Natural Sciences Faculty, Lankaran State University, 50, H. Aslanov Str., Lankaran, Azerbaijan

4. Department of Mathematics, Faculty of Education, Erciyes University, 38039-Melikgazi-Kayseri, Turkey

5. Civil Engineering Department, Faculty of Engineering, Girne American University, Girne, N. Cyprus

Abstract

An integrable of the generalized Calogero–Bogoyavlenskii–Schiff–Bogoyavlensky–Konopelchenko (CBS–BK) equation is studied, by employing Hirota’s bilinear method the bilinear form is obtained, and the multiple-soliton solutions are constructed. The modified of improved bilinear method has been utilized to investigate multiple solutions. In addition, some graphs including 3D, contour, density, and [Formula: see text]-curves plots of the addressed equation with specific coefficients are shown. Finally, under certain conditions, the asymptotic behavior of the linearization solution is analyzed to prove that the modulation instability is stable for some points.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021798492150408X

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