| Original Articles |
|
|
|
|
Similarity Reductions and Similarity Solutions of the (3+1)-Dimensional Kadomtsev--Petviashvili Equation |
| LIU Na, LIU Xi-Qiang |
| School of Mathematical Sciences, Liaocheng University, Liaocheng 252059 |
|
| Cite this article: |
|
LIU Na, LIU Xi-Qiang 2008 Chin. Phys. Lett. 25 3527-3530 |
|
|
|
|
Abstract Employing the compatibility method, we obtain the symmetries of the (3+1)-dimensional Kadomtsev--Petviashvili (KP) equation. Four types of similarity reductions of the KP equation are obtained by solving the corresponding characteristic equations associated with symmetry equations. In addition, a lot of similarity solutions to the KP equation are obtained.
|
| Keywords:
02.30.Jr
05.45.Yv
|
|
|
Received: 25 June 2008
Published: 26 September 2008
|
|
|
|
|
|
[1] El-Wakil S A et al 2007 Chaos, Solitons &Fractals 31 840
[2] Bai C L et al 2006 Chaos, Solitons & Fractalsbf 27 1026
[3] Wazwaz A M 2007 Appl. Math. Comput. bf 184 1002
[4] He J H et al 2006 Chaos, Solitons & Fractals bf30 700
[5] Fan E G and Zhang J 2002 Phys. Lett. A bf 305383
[6] Abdou M A 2007 Chaos, Solitons & Fractals bf31 95
[7] Ren Y J et al 2006 Chaos, Solitons & Fractalsbf 27 959
[8] Yan Z L and Liu X Q 2006 Appl. Math. Comput. bf180 288
[9] Zhang S L et al 2002 Chin.Phys.Lett bf 19 1741
[10] Zhang S L et al 2003 J. Phys. A: Math. Genbf 36 12223
[11] Swnatorski A and Infeld E 1996 Phys. Rev. Lett.bf 77 2855
[12] Chen Y et al 2003 Phys. Lett. A bf 307 107
[13] EI-Sayed S M et al 2004 Appl. Math. Comput. bf157 523
[14] Hu J Q 2005 Chaos Solitons & Fractals bf 23391
[15] Chen H T et al 2004 Appl. Math. Comput. bf 157765
[16] Liu G T and Fan T Y 2005 Phys. Lett. A bf 345161
[17] Lou S Y et al 2006 Chaos Solitons & Fractalsbf 30 804
[18] Zhang H Q 2007 Commun. Nonlinear. Sci. Numer.Simulat. bf 12 627 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
