| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
|
|
|
|
New Exact Solutions of a Relativistic Toda Lattice System |
| M. T. Darvishi, F. Khani** |
| Department of Mathematics, Razi University, Kermanshah 67149, Iran |
|
| Cite this article: |
|
M. T. Darvishi, F. Khani 2012 Chin. Phys. Lett. 29 094101 |
|
|
|
|
Abstract We study the application of the exp-function method to solve a relativistic Toda lattice system. To reduce the original equation into a convenient form, a suitable transformation is used so that the so-called exp-function method can be applied. By using the homogeneous balance principle and some further analysis, we succeed in calculating some exact analytic solutions.
|
|
|
Received: 07 May 2012
Published: 01 October 2012
|
|
| PACS: |
41.20.Jb
|
(Electromagnetic wave propagation; radiowave propagation)
|
| |
02.30.Jr
|
(Partial differential equations)
|
| |
05.45.Yv
|
(Solitons)
|
|
|
|
|
|
[1] Wahlquist H D and Estabrook F B 1973 Phys. Rev. Lett. 31 1386
[2] Fan E 2001 Phys. Lett. A 282 18
[3] He J H 2005 Chaos Soliton Fractals 26 695
[4] Darvishi M T and Khani F 2008 Z. Naturforsch. A 63a 19
[5] Ling-yun Z and Hong S 1998 Chin. Phys. Lett. 15 846
[6] He J H 1999 Int. J. Non-Linear Mech. 34 699
[7] Darvishi M T, Najafi M 2011 Chin. Phys. Lett. 28 040202
[8] Najafi M, Najafi M and Darvishi M T 2012 Chin. Phys. Lett. 29 040202
[9] He J H 2006 Non-Perturbative Method for Strongly Nonlinear Problems (Berlin: dissertation.de-Verlag im Internet GmbH)
[10] Zhu S D 2007 Int. J. Non. Sci. Numer. Simul. 8 461
[11] Zhu S D 2007 Int. J. Non. Sci. Numer. Simul. 8 465
[12] He J H and Wu X H 2006 Chaos Solitons Fractals 30 700
[13] Shin B C, Darvishi M T and Barati A 2009 Comput. Math. Appl. 58 2147
[14] Khani F, Hamedi-Nezhad S, Darvishi M T and Ryu S W 2009 Nonlin. Anal.: Real World Appl. 10 1904
[15] Khani F, Hamedi-Nezhad S and Molabahrami A 2007 Phys. Lett. A 371 234
[16] Khani F, Darvishi M T, Farmani A and Kavitha L 2010 Anziam J. 52 110
[17] Yu Y, Wang Q and Gao C 2007 Chaos Solitons Fractals 33 1642
[18] Dai C and Ni Y 2007 Int. J. Theor. Phys. 46 1455
[19] Baldwin D, Goktas U and Hereman W 2004 Comput. Phys. Commun. 162 203 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
