Standard

Explicit exact solutions of some nonlinear evolution equations with their geometric interpretations. / Шерих, Ахмед Абделхамид Мохамед Ахмед; Hassan, M.M. ; Abdel-Razek, M.A.

In: Applied Mathematics and Computation, 2014, p. 243–252.

Research output: Contribution to journal › Article › peer-review

Harvard

Шерих, ААМА, Hassan, MM & Abdel-Razek, MA 2014, 'Explicit exact solutions of some nonlinear evolution equations with their geometric interpretations', Applied Mathematics and Computation, pp. 243–252. https://doi.org/10.1016/j.amc.2014.11.046

APA

Шерих, А. А. М. А., Hassan, M. M., & Abdel-Razek, M. A. (2014). Explicit exact solutions of some nonlinear evolution equations with their geometric interpretations. Applied Mathematics and Computation, 243–252. https://doi.org/10.1016/j.amc.2014.11.046

Vancouver

Шерих ААМА, Hassan MM, Abdel-Razek MA. Explicit exact solutions of some nonlinear evolution equations with their geometric interpretations. Applied Mathematics and Computation. 2014;243–252. https://doi.org/10.1016/j.amc.2014.11.046

Author

Шерих, Ахмед Абделхамид Мохамед Ахмед ; Hassan, M.M. ; Abdel-Razek, M.A. / Explicit exact solutions of some nonlinear evolution equations with their geometric interpretations. In: Applied Mathematics and Computation. 2014 ; pp. 243–252.

BibTeX

@article{9c7431045cc140ceb2a6e892f459d163,
title = "Explicit exact solutions of some nonlinear evolution equations with their geometric interpretations",
abstract = "In this paper, the simplest equation method is applied to obtain multiple explicit exactsolutions of the combined dispersion equation, the Hirota–Satsuma Korteweg–de Vriessystem and the generalized Burgers–Huxley equation. These solutions are constructed onthe basis of solutions of Bernoulli equation which is used as simplest equation. It is shownthat this method is very powerful tool for obtaining exact solutions of a large class of nonlinearpartial differential equations. The geometric interpretation for some of these solutionsare introduced.",
author = "Шерих, {Ахмед Абделхамид Мохамед Ахмед} and M.M. Hassan and M.A. Abdel-Razek",
year = "2014",
doi = "10.1016/j.amc.2014.11.046",
language = "English",
pages = "243–252",
journal = "Applied Mathematics and Computation",
issn = "0096-3003",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Explicit exact solutions of some nonlinear evolution equations with their geometric interpretations

AU - Шерих, Ахмед Абделхамид Мохамед Ахмед

AU - Hassan, M.M.

AU - Abdel-Razek, M.A.

PY - 2014

Y1 - 2014

N2 - In this paper, the simplest equation method is applied to obtain multiple explicit exactsolutions of the combined dispersion equation, the Hirota–Satsuma Korteweg–de Vriessystem and the generalized Burgers–Huxley equation. These solutions are constructed onthe basis of solutions of Bernoulli equation which is used as simplest equation. It is shownthat this method is very powerful tool for obtaining exact solutions of a large class of nonlinearpartial differential equations. The geometric interpretation for some of these solutionsare introduced.

AB - In this paper, the simplest equation method is applied to obtain multiple explicit exactsolutions of the combined dispersion equation, the Hirota–Satsuma Korteweg–de Vriessystem and the generalized Burgers–Huxley equation. These solutions are constructed onthe basis of solutions of Bernoulli equation which is used as simplest equation. It is shownthat this method is very powerful tool for obtaining exact solutions of a large class of nonlinearpartial differential equations. The geometric interpretation for some of these solutionsare introduced.

U2 - 10.1016/j.amc.2014.11.046

DO - 10.1016/j.amc.2014.11.046

M3 - Article

SP - 243

EP - 252

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

ER -

ID: 60393983