Faculty Publications: Recent submissions
Now showing items 41-55 of 55
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Abundant traveling wave solutions of the compound KdV-Burgers equation via the improved (G′/G)-expansion method
(© 2012 AIP Advances, 2012)In this article, we investigate the compound KdV-Burgers equation involving parameters by applying the improved (G′/G)-expansion method for constructing some new exact traveling wave solutions including solitons and periodic ... -
New traveling wave solutions by the extended generalized Riccati equation mapping method of the (2 + 1) -dimensional evolution equation
(© 2012 Journal of Applied Mathematics, 2012)The generalized Riccati equation mapping is extended with the basic (G ′ / G) -expansion method which is powerful and straightforward mathematical tool for solving nonlinear partial differential equations. In this paper, ... -
New approach of (G′G)-expansion method and new approach of generalized (G′G)-expansion method for nonlinear evolution equation
(© 2013 AIP Advances, 2013)In this article, new (G′G)-expansion method and new generalized (G′G)-expansion method is proposed to generate more general and abundant new exact traveling wave solutions of nonlinear evolution equations. The novelty and ... -
Generalized and Improved (G′/G)-Expansion Method for (3+1)-Dimensional Modified KdV-Zakharov-Kuznetsev Equation
(© 2013 PLoS ONE, 2013)The generalized and improved G′/G-expansion method is a powerful and advantageous mathematical tool for establishing abundant new traveling wave solutions of nonlinear partial differential equations. In this article, we ... -
Extended generalized Riccati equation mapping method for the fifth-order Sawada-Kotera equation
(© 2013 AIP Advances, 2013)In this article, the generalized Riccati equation mapping together with the basic (G′/G)-expansion method is implemented which is advance mathematical tool to investigate nonlinear partial differential equations. Moreover, ... -
The extended generalized Riccati equation mapping method for the (1+1)-dimensional modified KdV equation
(© 2013 IDOSI Publications, 2013)In this article, the generalized Riccati equation mapping is extended by the (G-/G)-expansion method. 2 In this method, the auxiliary equation G'- = r + pG + qG2 is used and called the generalized Riccati equation, where ... -
The generalized riccati equation together with the (G' / G) -Expansion method for the (3+1)-dimensional modified KDV-zakharov-kuznetsov equation
(© 2014 Politechnica University of Bucharest, 2014)We construct new exact travelling wave solutions including solitons and periodic solutions of the (3+1)-dimensional modified KdV Zakharov-Kuznetsov equation involving parameter by applying the generalized Riccati equation ... -
Some new solutions of the (3+1)-Dimensional Jimbo-Miwa equation via the improved (G'/G)-Expansion method
(© 2014 Eudoxus Press, LLC, 2014)The improved (G'/G)-expansion method is straightforward and effective mathematical tool for establishing exact traveling wave solutions of different nonlinear partial differential equations which arise in engineering ... -
Some new solutions of the (1+1)-dimensional PDE via the improved (G ′/ G)-expansion method
(© 2014 American Institute of Physics Inc., 2014)In this article, an improved (G′/G)-expansion method is implemented for the simplified Modified Camassa-Holm (MCH) equation involving parameters, with an aim to construct many new traveling wave solutions. In this method, ... -
The improved (G'/G)-expansion method to the (2+1)-dimensional breaking soliton equation
(© 2014 Eudoxus Press, LLC, 2014-01)In this article, we generate abundant traveling wave solutions of partial differential equation, namely, the (2+1)-dimensional breaking soliton equation involving parameter by applying the improved (G'/G) -expansion method. ... -
New approach of (G'/G)-expansion method for RLW equation
(© 2014 Maxwell Science Publications, 2014)In this study, new extension of the (G'/G)-expansion method with nonlinear ODE has been introduced to investigate the generalized regularized long wave equation. Therefore, many new travelling wave solutions with many ... -
Further extension of the generalized and improved (G′/G)-expansion method for nonlinear evolution equation
(© 2016 Elsevier B.V, 2016)n this article, the generalized and improved (G'/G)-expansion method has been proposed for further extension to generate many new travelling wave solutions. In addition, nonlinear ordinary differential equation is implemented ... -
Relativistic compact anisotropic charged stellar models with Chaplygin equation of state
(© Springer Science+Business Media Dordrecht 2016, 2016)This paper presents a new model of static spherically symmetric relativistic charged stellar objects with locally anisotropic matter distribution together with the Chaplygin equation of state. The interior spacetime has ... -
Some analytical models of anisotropic strange stars
(© Springer Science+Business Media Dordrecht 2015, 2016)Over the years of the concept of local isotropy has become a too stringent condition in modeling relativistic self-gravitating objects. Taking local anisotropy into consideration, in this work, some analytical models of ... -
Some new Wyman–Leibovitz–Adler type static relativistic charged anisotropic fluid spheres compatible to self-bound stellar modeling
(© The Author(s) 2015. This article is published with open access at Springerlink.com, 2015)In this work some families of relativistic anisotropic charged fluid spheres have been obtained by solving the Einstein–Maxwell field equations with a preferred form of one of the metric potentials, and suitable forms of ...