Multiple rogue and soliton wave solutions to the generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation arising in fluid mechanics and plasma physics

Author:

Ilhan Onur Alp1,Abdulazeez Sadiq Taha2,Manafian Jalil34ORCID,Azizi Hooshmand5,Zeynalli Subhiya M.6

Affiliation:

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

2. Department of Mathematics, College of Basic Education, University of Duhok, Duhok, Iraq

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

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

5. Department of Electrical and Computer Engineering, No. 1 Faculty of Kermanshah, Technical and Vocational University (TVU), Tehran, Iran

6. Ganja State University, Haydar Aliyev Avenue, 429, Ganja, Azerbaijan

Abstract

Under investigation in this paper is the generalized Konopelchenko–Dubrovsky–Kaup-Kupershmidt equation. Based on bilinear method, the multiple rogue wave (RW) solutions and the novel multiple soliton solutions are constructed by giving some specific activation functions for the considered model. By means of symbolic computation, these analytical solutions and corresponding rogue wave solutions are obtained via Maple 18 software. The exact lump and RW solutions, by solving the under-determined nonlinear system of algebraic equations for the specified parameters, will be constructed. Via various three-dimensional plots and density plots, dynamical characteristics of these waves are exhibited.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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