Close Search Advanced
Journals
Resources
About Us
Open Access

Solitary Wave Solutions to the ZKBBM Equation and the KPBBM Equation Via the Modified Simple Equation Method

Solitary Wave Solutions to the ZKBBM Equation and the KPBBM Equation Via the Modified Simple Equation Method
Preview
Add to basket

Year:    2016

Author:    J. Akter, M. Ali Akbar

Journal of Partial Differential Equations, Vol. 29 (2016), Iss. 2 : pp. 143–160

Abstract

In this article, the modified simple equation method (MSE) is used to acquire exact solutions to nonlinear evolution equations (NLEEs) namely the Zakharov- Kuznetsov Benjamin-Bona-Mahony equation and the Kadomtsov-Petviashvilli Benjamin- Bona-Mahony equation which have widespread usage in modern science. The MSE method is ascending and useful mathematical tool for constructing exact traveling wave solutions to NLEEs in the field of science and engineering. By means of this method we attained some significant solutions with free parameters and for special values of these parameters, we found some soliton solutions derived from the exact solutions. The solutions obtained in this article have been shown graphically and also discussed physically.

Submit Article

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v29.n2.5

Journal of Partial Differential Equations, Vol. 29 (2016), Iss. 2 : pp. 143–160

Published online:    2016-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    Modified simple equation method

Author Details

J. Akter

M. Ali Akbar

  1. Lie symmetry analysis for obtaining exact soliton solutions of generalized Camassa–Holm–Kadomtsev–Petviashvili equation

    Kumar, Sachin | Niwas, Monika | Hamid, Ihsanullah

    International Journal of Modern Physics B, Vol. 35 (2021), Iss. 02 P.2150028

    https://doi.org/10.1142/S0217979221500284 [Citations: 42]

  2. Applications of two reliable methods for solving a nonlinear conformable time-fractional equation

    Kaplan, Melike

    Optical and Quantum Electronics, Vol. 49 (2017), Iss. 9

    https://doi.org/10.1007/s11082-017-1151-z [Citations: 33]

  3. Exact solitary wave solutions to the (2 + 1)-dimensional generalised Camassa–Holm–Kadomtsev–Petviashvili equation

    Ghanbari, Behzad | Liu, Jian-Guo

    Pramana, Vol. 94 (2020), Iss. 1

    https://doi.org/10.1007/s12043-019-1893-1 [Citations: 25]