Next Article in Journal
Symmetry Modulates the Amplitude Spectrum Slope Effect on Visual Preference
Previous Article in Journal
Further Studies of the Supersymmetric NJL-Type Model for a Real Superfield Composite

Integrability via Functional Expansion for the KMN Model

Department of Physics, University of Craiova, A.I.Cuza 13, 200585 Craiova, Romania
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Symmetry 2020, 12(11), 1819;
Received: 11 September 2020 / Revised: 28 October 2020 / Accepted: 30 October 2020 / Published: 3 November 2020
(This article belongs to the Section Physics and Symmetry/Asymmetry)
This paper considers issues such as integrability and how to get specific classes of solutions for nonlinear differential equations. The nonlinear Kundu–Mukherjee–Naskar (KMN) equation is chosen as a model, and its traveling wave solutions are investigated by using a direct solving method. It is a quite recent proposed approach called the functional expansion and it is based on the use of auxiliary equations. The main objectives are to provide arguments that the functional expansion offers more general solutions, and to point out how these solutions depend on the choice of the auxiliary equation. To see that, two different equations are considered, one first order and one second order differential equations. A large variety of KMN solutions are generated, part of them listed for the first time. Comments and remarks on the dependence of these solutions on the solving method and on form of the auxiliary equation, are included. View Full-Text
Keywords: functional expansion; traveling waves; KMN equation functional expansion; traveling waves; KMN equation
Show Figures

Figure 1

MDPI and ACS Style

Constantinescu, R.; Florian, A. Integrability via Functional Expansion for the KMN Model. Symmetry 2020, 12, 1819.

AMA Style

Constantinescu R, Florian A. Integrability via Functional Expansion for the KMN Model. Symmetry. 2020; 12(11):1819.

Chicago/Turabian Style

Constantinescu, Radu, and Aurelia Florian. 2020. "Integrability via Functional Expansion for the KMN Model" Symmetry 12, no. 11: 1819.

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

Back to TopTop