New Analytic Solution of Ito Equation by the Sine-Cosine Method
Keywords:
Sine-cosine method, (2 1)-dimensional Ito equation, periodic solution, exact solutionAbstract
In this paper, the sine-cosine method is used to construct exact traveling wave solutions of the Ito equation. As a result, many new periodic and solitary wave solutions are derived to generalized (2+1)-dimensional Ito equation. Throughout the paper, all the calculations are made with the aid of the Maple packet program.doi:10.14456/WJST.2014.90
Downloads
Metrics
References
AM Wazwaz. The tanh method: solitons and periodic solutions for the Dodd-Bullough-Tzikhailov and the Tzitzeica-Dodd-Bullough equations. Chaos Soliton. Fract. 2005; 25, 55-63.
AM Wazwaz. The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations. Appl. Math. Comput. 2007; 184, 1002-14.
AM Wazwaz. A sine-cosine method for handling nonlinear wave equations. Math. Comput. Model. 2004; 40, 499-508.
Z Xiqiang, W Limin and S Weijun. The repeated homogeneous balance method and its applications to nonlinear partial differential equations. Chaos Soliton. Fract. 2006; 28, 448-53.
SJ Liao. Beyond Perturbation: Introduction to the Homotopy Analysis Method. Chapman and Hall, CRC Press, Boca Raton, 2003.
F Khani, MT Darvishi and RSR Gorla. Analytical investigation for cooling turbine disks with a non-Newtonian viscoelastic fluid. Comput. Math. Appl. 2011; 61, 1728-38.
E Fan and Z Jian. Applications of the Jacobi elliptic function method to special-type nonlinear equations. Phys. Lett. A 2002; 305, 383-92.
MT Darvishi, M Najafi and M Najafi. Exact three-wave solutions for high nonlinear form of Benjamin-Bona-Mahony-Burgers equations. Int. J. Math. Comput. Sci. 2010; 6, 127-31.
MT Darvishi and M Najafi. Some exact solutions of the (2+1)-dimensional breaking soliton equation using the three-wave method. Int. J. Comput. Math. Sci. 2012; 6, 13-6.
MT Darvishi, M Najafi and M Najafi. New exact solutions for the (3+1)-dimensional breaking soliton equation. Int. J. Inform. Math. Sci. 2010; 6, 134-7.
MT Darvishi, M Najafi and M Najafi. New application of EHTA for the generalized (2+1)-dimensional nonlinear evolution equations. Int. J. Math. Comput. Sci. 2010; 6, 132-8.
MT Darvishi and M Najafi. A modification of extended homoclinic test approach to solve the (3+1)-dimensional potential-YTSF equation. Chin. Phys. Lett. 2011; 28, Article ID 040202.
MT Darvishi and M Najafi. Some complexiton type solutions of the (3+1)-dimensional Jimbo-Miwa equation. Int. J. Comput. Math. Sci. 2012; 6, 25-7.
MT Darvishi, M Najafi and M Najafi. Traveling wave solutions for the (3+1)-dimensional breaking soliton equation by (G’/G)-expansion method and modified F-expansion method. Int. J. Comput. Math. Sci. 2012; 6, 64-9.
JH He and MA Abdou. New periodic solutions for nonlinear evolution equations using Exp-function method. Chaos Soliton. Fract. 2007; 34, 1421-9.
F Khani, S Hamedi-Nezhad, MT Darvishi and SW Ryu. New solitary wave and periodic solutions of the foam drainage equation using the Exp-function method. Nonlinear Anal. R. World Appl. 2009; 10, 1904-11.
BC Shin, MT Darvishi and A Barati. Some exact and new solutions of the Nizhnik-Novikov-Vesselov equation using the Exp-function method. Comput. Math. Appl. 2009; 58, 2147-51.
XH Wu and JH He. Exp-function method and its application to nonlinear equations. Chaos Soliton. Fract. 2009; 38, 903-10.
AM Wazwaz. Multiple-soliton solutions for the generalized (1+1)-dimensional and the generalized (2+1)-dimensional Ito equations. Appl. Math. Comput. 2008; 202, 840-9.
F Khani. Analytic study on the higher order Ito equations: New solitary wave solutions using the Exp-function method. Chaos Soliton. Fract. 2009; 41, 2128-34.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2013 Walailak University
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
