Bifurcation phase portraits and nonlinear wave solutions for the modified Konopelchenko-Dubrovsky equation

Ming Song; Shenhui Wu

Alexandria Engineering Journal (Sep 2023)

Bifurcation phase portraits and nonlinear wave solutions for the modified Konopelchenko-Dubrovsky equation

Ming Song,
Shenhui Wu

Affiliations

Ming Song: School of Mathematics and Statistics, Fuyang Normal University, Fuyang 236037, PR China; Corresponding author.
Shenhui Wu: Department of Mathematics, Shaoxing University, Shaoxing 312000, PR China

Journal volume & issue: Vol. 79
pp. 502 – 507

Abstract

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The bifurcation phase portraits and exact nonlinear wave solutions of the modified Konopelchenko-Dubrovsky (KD) equation are studied by using the bifurcation method. The bifurcation phase portraits of the modified KD equation are given when a>0 and a<0. When different combinations of the parameters a, b, k and n, eighteen new exact nonlinear wave solutions for the modified KD equation are obtained.

Published in Alexandria Engineering Journal

ISSN: 1110-0168 (Print); 2090-2670 (Online)
Publisher: Elsevier
Country of publisher: Egypt
LCC subjects: Technology: Engineering (General). Civil engineering (General)
Website: http://www.journals.elsevier.com/alexandria-engineering-journal/

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