| Original Articles |
|
|
|
|
On High-Frequency Soliton Solutions to a (2+1)-Dimensional Nonlinear Partial Differential Evolution Equation |
| Kuetche Kamgang Victor1;Bouetou Bouetou Thomas2,3;Timoleon Crepin Kofane 1,3 |
| 1Department of Physics, Faculty of Science, University of Yaounde I, PO Box. 812, Cameroon2Ecole Nationale Superieure Polytechnique, University of Yaounde I, PO Box. 8390, Cameroon3The Abdus Salam International Centre for Theoretical Physics, P.O. Box 586, Strada Costiera, II-34014, Trieste, Italy |
|
| Cite this article: |
|
Kuetche Kamgang Victor, Bouetou Bouetou Thomas, Timoleon Crepin Kofane 2008 Chin. Phys. Lett. 25 425-428 |
|
|
|
|
Abstract A (2+1)-dimensional nonlinear partial differential evolution (NLPDE) equation is presented as a model equation for relaxing high-rate processes in active barothropic media. With the aid of symbolic computation and Hirota's method, some typical solitary wave solutions to this (2+1)-dimensional NLPDE equation are unearthed. As a result, depending on the dissipative parameter, single and multivalued solutions are depicted.
|
| Keywords:
05.45.Yv
|
|
|
Received: 25 November 2007
Published: 30 January 2008
|
|
|
|
|
|
|
|
[1] Drazin P G and Johnson R S 1989 Solitons: anIntroduction (Cambridge: Cambridge University Press)
[2] Vakhnenko V O 1999 J. Math. Phys. 40 2011
[3] Trewick S C et al %, Henshaw T F, Hausinger R P, Lindahl T%and Sedgwick B2002 Nature 419 174
[4] Goodman M B et al %, Ernstrom G G, Chelur D S, O'Hagan R,%Yao C A and Chalfie M2002 Nature 415 1039
[5] Nayfey A H 1973 Perturbation Methods (New York: Wiley)
[6] Nitropolsky Y A, Samoilenko A M and Martinyuk D I 1993 Systems of Evolution Equations with Periodic and QuasiperiodicCoefficients (Dordrecht: Kluwer)
[7] Tang X Y and Lou S Y 2003 J. Math. Phys. 44 4000
[8] Lou S Y 1998 Phys. Rev. Lett. 80 5027
[9] Hirota R 1988 Direct Methods in Soliton Theory (Berlin:Springer)
[10] McClelland G M and Glosli J N 1992 Fundamentals ofFriction: Macroscopic and Microscopic Processes (Dordrecht: Kluwer)
[11] Person B N J 1988 Sliding Friction: Physical Properties andApplications (Berlin: Springer)
[12] Hirota R and Suzuki K 1973 Proc. IEEE 61 1483
[13] Benney D J 1996 J. Math. Phys. 45 52
[14] Washini H and Taniuti T 1966 Phys. Rev. Lett. 17 966
[15] Ott E and Sudan R N 1970 Phys. Fluids 13 1432
[16] Huang G L, Wand D Y and Feraudy H 1997 Geophys. Res. 102 7217
[17] Malykh K V and Ogorodnikov I L 1977 Dynamics of ContinuousMedia (Moscow: Novosibirsk) |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
