Application of simplest equation method to the (2+1)-dimensional nonlinear evolution equations

Abstract

In this paper, the simplest equation method has been used for finding the general exact solutions of nonlinear evolution equations that namely (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff( CBS) equation and (2+1)-dimensional breaking soliton equation (BS) when the simplest equation is the equation of Riccati

Keywords

• Simplest equation method,Calogero-Bogoyavlenskii- Schiff,breaking soliton equation,Riccati equation

Application of simplest equation method to the (2+1)-dimensional nonlinear evolution equations

Öz

References

1. Darvishi M., Najafi M., Najafi M. New application of EHTA for the generalized (2+1)-dimensional nonlinear evolution equations. 6(3), (2010)132-138.
2. Duranda M, Langevin D. Physicochemical approach to the theory of foam drainage. The European Physical Journal E 7(1), (2002) 35-44.
3. Fan E. Extended tanh-function method and its applications to nonlinear equations. physic letter A 277(4-5), (2000) 212-218.
4. Hone ANW. Painleve tests, singularity structure and integrability. Lect Notes Physics . (2009) . 767 245-277.
5. Jafari H, Kadkhoda N, Biswas A. The -expansion method for solutions of evolution equations from isothermal magnetostatic atmospheres. Journal of King Saud University – Science [In Press]. Kudryashov NA. On types of nonlinear integrable equations with exact solutions. physic letter A 155(4–5), (1991) 269-275.
6. Kudryashov NA. Simplest equation method to look for exact solutions of nonlinear differential equations. Chaos, Solitons & Fractals 24(5), (2005) 1217-1231.
7. Kudryashov NALoguinova NB. Extended simplest equation method for nonlinear differential equations. Applied Mathematics and Computation 205 (1),(2008) 396-402.
8. Ostrovsky LANonlinear internal waves in a rotating ocean. Okeanologiya 1978;18:181-91 [in Russian] (Engl transl: Oceanology 18 119- 125) (1978).

9. Salehpour1 E, Jafari H, Kadkhoda N. Application of -expansion method to nonlinear Lienard equation. Indian Jour of Science and Technology 5(4), (2012) 2554-2556.
10. Wazwaz A.M. New solutions of distinct physical structures to highdimensional nonlinear evolution equations, Applied Mathematics and Computation 196(1) (2008) 363–370.
11. Wazwaz A.M. The (2+1) and (3+1)-Dimensional CBS Equations: Multiple Soliton Solutions and Multiple Singular Soliton Solutions, Zeitschrift fur Naturforschung A 65a, (2010) 173–181.
12. Wazwaz A.M Multiple-soliton solutions for the Calogero-Bogoyavlenskii-Schiff, Jimbo-Miwa and YTSF equations, Applied Mathematics and Computation 203(2), (2008) 592–597.
13. Wazwaz A.M. The tanh-coth method for solitons and kink solutions fornon-linear parabolic equations, Applied Mathematics and Computation 188(2), (2007) 1467-1475.
14. Wazwaz A.M. A sine-cosine method for handling nonlinear wave equations. Mathematical and Computer Modelling 40(5-6) ,(2004) 499- 50