Analytical studies for the Boiti–Leon–Monna–Pempinelli equations with variable and constant coefficients

Article type: Research Article

Authors: Pinar, Zehra^{; *}

Affiliations: Faculty of Arts and Science, Department of Mathematics, Tekirdağ Namık Kemal University, 59030 Merkez-Tekirdağ, Turkey. Tel.: +90282 2502706; E-mail: zpinar@nku.edu.tr

Correspondence: [*] Corresponding author. E-mail: zpinar@nku.edu.tr.

Abstract: The best known model of incompressible fluid is Boiti–Leon–Manna–Pempinelli (BLMP) equation. It is generally seen as two-dimensional model, also recently the model is seen in three dimensional and with variable coefficients. Till now, bilinear forms of the model are obtained. The exact solutions are not seen in the literature except special cases. This work investigates the exact solutions of the model with the strong methodologies based on auxiliary equation methods.

Keywords: Generalized Boiti–Leon–Manna–Pempinelli (BLMP) equation, Mathieu differential equation, exact solutions

DOI: 10.3233/ASY-191567

Journal: Asymptotic Analysis, vol. 117, no. 3-4, pp. 279-287, 2020