The modified simple equation (MSE) method is an important mathematical tool for searching closed-form solutions to nonlinear evolution equations (NLEEs). In the present paper, by using the MSE method, we derive some impressive solitary wave solutions to NLEES via the strain wave...
Open access
Research Article10.9734/PSIJ/2015/18598
In this work, we employ an enhanced (G' / G) -expansion method to study the nonlinear evolution equations (NLEEs). Here we derive exact traveling wave solutions for the modified Burgers-KDV equation. The obtained results show that the applied equation reveals richness of explicit...
Open access
Research Article10.9734/BJMCS/2014/6676
Exact solutions of nonlinear evolution equations play very important role to make known the inner mechanism of intricate physical phenomena. In this article, the novel -expansion method is applied to construct traveling wave solutions of the (1+1)-dimensional modified Benjamin-Bo...
In this work we explore an enhanced -expansion method to study the nonlinear evolution equations (NLEEs). Here we derive solitons, singular solitons and periodic wave solutions for the nonlinear (3+1)-dimensional Potential Yu–Toda–Sasa–Fukuyama (YTSF) equation. The obtained resul...
The exp(−Φ(ξ)) -expansion method is an efficient method for obtaining exact traveling wave solutions of nonlinear evolution equations. In this paper, the exp(−Φ(ξ)) -expansion method is applied to construct exact traveling wave solutions of the simplified MCH equation. The travel...
Open access
Research Article10.9734/BJMCS/2015/10800
In this work we study the Gardner equation or the combined KdV-mKdV equation. We use the exp(-Φ(ξ))-expansion method for a reliable treatment to establish exact traveling wave solutions then the solitary wave solutions for the aforementioned nonlinear partial differential equatio...
Open access
Research Article10.9734/BJMCS/2015/13387
In this paper, the modified simple equation (MSE) method is executed to find the traveling wave solutions for the (2+1)-dimensional modified KdV–Kadomtsev–Petviashvili (mKdV-KP) equation and the (2+1)-dimensional Painlevé integrable Burgers equation (PIB). The efficiency of this...
Fifth order over-damp nonlinear differential systems can be used to describe many engineering problems and physical phenomena occur in the nature. In this article, the Krylov-Bogoliubov-Mitropolskii (KBM) method has been extended to investigate the solution of a certain fifth ord...
Open access
Research Article10.9734/jamcs/2019/v32i430151