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NEW EXACT SOLUTIONS OF SOME (2+1)-DIMENSIONAL NONLINEAR EVOLUTION EQUATIONS VIA EXTENDED KUDRYASHOV METHOD. / Шерих, Ахмед Абделхамид Мохамед Ахмед; Hassan, M.M. ; Abdel-Razek, M.A.

In: Reports on Mathematical Physics, Vol. 74, No. 3, 2014, p. 347-358.

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

Harvard

Шерих, ААМА, Hassan, MM & Abdel-Razek, MA 2014, 'NEW EXACT SOLUTIONS OF SOME (2+1)-DIMENSIONAL NONLINEAR EVOLUTION EQUATIONS VIA EXTENDED KUDRYASHOV METHOD', Reports on Mathematical Physics, vol. 74, no. 3, pp. 347-358. https://doi.org/10.1016/S0034-4877(15)60006-4

APA

Шерих, А. А. М. А., Hassan, M. M., & Abdel-Razek, M. A. (2014). NEW EXACT SOLUTIONS OF SOME (2+1)-DIMENSIONAL NONLINEAR EVOLUTION EQUATIONS VIA EXTENDED KUDRYASHOV METHOD. Reports on Mathematical Physics, 74(3), 347-358. https://doi.org/10.1016/S0034-4877(15)60006-4

Vancouver

Шерих ААМА, Hassan MM, Abdel-Razek MA. NEW EXACT SOLUTIONS OF SOME (2+1)-DIMENSIONAL NONLINEAR EVOLUTION EQUATIONS VIA EXTENDED KUDRYASHOV METHOD. Reports on Mathematical Physics. 2014;74(3):347-358. https://doi.org/10.1016/S0034-4877(15)60006-4

Author

Шерих, Ахмед Абделхамид Мохамед Ахмед ; Hassan, M.M. ; Abdel-Razek, M.A. / NEW EXACT SOLUTIONS OF SOME (2+1)-DIMENSIONAL NONLINEAR EVOLUTION EQUATIONS VIA EXTENDED KUDRYASHOV METHOD. In: Reports on Mathematical Physics. 2014 ; Vol. 74, No. 3. pp. 347-358.

BibTeX

@article{7f250da7c87943fc8f386cba27413a4d,
title = "NEW EXACT SOLUTIONS OF SOME (2+1)-DIMENSIONAL NONLINEAR EVOLUTION EQUATIONS VIA EXTENDED KUDRYASHOV METHOD",
abstract = "In this work, we propose an extended Kudryashov method to present new exact solutionsof some nonlinear partial differential equations. The key idea of this method is to take fulladvantages of the Bernoulli and the Riccati equations involving parameters. We choose the.(2+1)-dimensional Painlev´e integrable Burgers equations and the .2C1/-dimensional KortewegdeVries-Burgers equation to illustrate the validity and advantages of the method. By means ofthis method many new and general exact solutions have been found.",
keywords = "extended Kudryashov method, Bernoulli equation, Riccati equation, exact solutions",
author = "Шерих, {Ахмед Абделхамид Мохамед Ахмед} and M.M. Hassan and M.A. Abdel-Razek",
year = "2014",
doi = "10.1016/S0034-4877(15)60006-4",
language = "English",
volume = "74",
pages = "347--358",
journal = "Reports on Mathematical Physics",
issn = "0034-4877",
publisher = "Elsevier",
number = "3",

}

RIS

TY - JOUR

T1 - NEW EXACT SOLUTIONS OF SOME (2+1)-DIMENSIONAL NONLINEAR EVOLUTION EQUATIONS VIA EXTENDED KUDRYASHOV METHOD

AU - Шерих, Ахмед Абделхамид Мохамед Ахмед

AU - Hassan, M.M.

AU - Abdel-Razek, M.A.

PY - 2014

Y1 - 2014

N2 - In this work, we propose an extended Kudryashov method to present new exact solutionsof some nonlinear partial differential equations. The key idea of this method is to take fulladvantages of the Bernoulli and the Riccati equations involving parameters. We choose the.(2+1)-dimensional Painlev´e integrable Burgers equations and the .2C1/-dimensional KortewegdeVries-Burgers equation to illustrate the validity and advantages of the method. By means ofthis method many new and general exact solutions have been found.

AB - In this work, we propose an extended Kudryashov method to present new exact solutionsof some nonlinear partial differential equations. The key idea of this method is to take fulladvantages of the Bernoulli and the Riccati equations involving parameters. We choose the.(2+1)-dimensional Painlev´e integrable Burgers equations and the .2C1/-dimensional KortewegdeVries-Burgers equation to illustrate the validity and advantages of the method. By means ofthis method many new and general exact solutions have been found.

KW - extended Kudryashov method

KW - Bernoulli equation

KW - Riccati equation

KW - exact solutions

U2 - 10.1016/S0034-4877(15)60006-4

DO - 10.1016/S0034-4877(15)60006-4

M3 - Article

VL - 74

SP - 347

EP - 358

JO - Reports on Mathematical Physics

JF - Reports on Mathematical Physics

SN - 0034-4877

IS - 3

ER -

ID: 60394165