Soliton-like Solutions for Some Nonlinear Evolution Equations through the Generalized Kudryashov Method

Authors

  • Md. Shafiqul Islam

generalized kudryashov method, BS equation, burgers equation, boussinesq equation, NLEEs

Abstract

In this present article, we apply the generalized Kudryashov method for constructing ample new exact traveling wave solutions of the (2+1)-dimensional Breaking soliton (BS) equation, (2+1)-dimensional Burgers equation and (2+1)-dimensional Boussinesq equation. We attain successfully numerous new exact traveling wave solutions. This method is candid and concise, and it can be also applied to other nonlinear evolution equations in mathematical physics and engineering sciences. Moreover, some of the newly attained exact solutions are demonstrated graphically.

Downloads

How to Cite

Soliton-like Solutions for Some Nonlinear Evolution Equations through the Generalized Kudryashov Method. (2017). Global Journal of Science Frontier Research, 17(F7), 27-39. https://journalofscience.org/index.php/GJSFR/article/view/2092

References

Md. Alam, Md. Akbar, Syed Mohyud-Din (2014) A novel (G′/G)-expansion method and its application to the Boussinesq equation. 23(2), 020203.

S Islam, Kamruzzaman Khan, M Akbar (2015) Study of exp(-Φ(ξ))-expansion Method for Solving Nonlinear Partial Differential Equations. 5(3), 397-407.

M Islam, K Khan, M Akbar, A Arnous (2015) Generalized Kudryashov method for solving some (3+1)-dimensional nonlinear evolution equations. 3(3), 46-57.

M Akbar, N Ali (2011) Exp-function method for Duffing Equation and new solutions of (2+1) dimensional dispersive long wave equations. 1(2), 30-42.

K Khan, M Akbar (2013) Application of exp )) ( ( ξ Φ --expansion method to find the exact solutions of modified Benjamin-Bona-Mahony equation. 24(10), 1373-1377.

Kamruzzaman Khan, M Akbar (2013) Exact and solitary wave solutions for the Tzitzeica-Dodd-Bullough and the modified KdV-Zakharov-Kuznetsov equations using the modified simple equation method. 4(4), 903-909.

M Islam, K Khan, M Akbar, A Mastroberardino (2014) A note on improved -F expansion method combined with Riccati equation applied to nonlinear evolution equations. 140038.

Md. Islam, Kamruzzaman Khan, M Akbar (2016) Application of the improved F-expansion method with Riccati equation to find the exact solution of the nonlinear evolution equations. 25(1), 13-18.

Md. Islam, Kamruzzaman Khan, M Akbar (2016) Exact travelling wave solutions of the (3 + 1)- dimensional potential Yu-Toda-Sasa-Fukuyama equation through the improved F-expansion method with Riccati equation. 8(1), 61.

Md. Islam, M Akbar, Kamruzzaman Khan (2017) The improved F-expansion method and its application to the MEE circular rod equation and the ZKBBM equation. 4(1), 1378530.

Seyma Demiray, Yusuf Pandir, Hasan Bulut (2014) The investigation of exact solutions of nonlinear time-fractional Klein-Gordon equation by using generalized Kudryashov method. 1637, 283.

Qi Wang, Yong Chen, Hongqing Zhang (2005) A new Riccati equation rational expansion method and its application to (2+1)-dimensional Burgers equation. 25(5), 1019-1028.

Andrei Polyanin, Valentin Zaitsev (2004) Handbook of Nonlinear Partial Differential Equations.

Soliton-like Solutions for Some Nonlinear Evolution Equations through the Generalized Kudryashov Method

Published

2017-11-20

How to Cite

Soliton-like Solutions for Some Nonlinear Evolution Equations through the Generalized Kudryashov Method. (2017). Global Journal of Science Frontier Research, 17(F7), 27-39. https://journalofscience.org/index.php/GJSFR/article/view/2092