GENERAL |
|
|
|
|
New Solitary Solutions of (2+1)-Dimensional Variable Coefficient Nonlinear Schrödinger Equation with an External Potential |
SONG Zhao-Hui, DING Qi, MEI Jian-Qin, ZHANG Hong-Qing |
School of Mathematics Sciences, Dalian University of Technology, Dalian 116024 |
|
Cite this article: |
SONG Zhao-Hui, DING Qi, MEI Jian-Qin et al 2010 Chin. Phys. Lett. 27 010201 |
|
|
Abstract By a series of transformations, the (2+1)-dimensional variable coefficient nonlinear Schrödinger equation can turn to the Klein-Gordon equation. Many new double travelling wave solutions of the Klein-Gordon equation are obtained. Thus, the new solitary solutions of the variable coefficient nonlinear Schröinger equation with an external potential can be found.
|
Keywords:
02.30.Jr
05.45.Yv
|
|
Received: 06 June 2009
Published: 30 December 2009
|
|
|
|
|
|
[1] Zhu J M and LIU Y L 2009 Commun. Theor. Phys. 51 391 [2] Wang Zh and Zhang H Q 2007 Applied Mathematics andComputation 186 693 [3] Abdou MA 2007 Chaos, Solitons \& Fractals 31(1) 95 [4] Liu J B, Lei Y and Yang K Q 2004 Phys. Lett. A 325 268 [5] L J B and Yang K Q 2004 Chaos, Solitons \& Fractals 22 111 [6] Malfliet W 1996 Physica Scripta 54 563 [7] Malfliet W 1996 Physica Scripta 54 569 [8] Zhang Sh 2007 Chaos, Solitons \& Fractals 32(4) 1375 [9]Sirendaoreji 2007 Phys. Lett. A 363 440 [10] Sirendaoreji 2007 Chaos, Solitons \& Fractals 31 943 [11] Sirendaoreji 2006 Phys. Lett. A 356 124 [12] Sirendaoreji and Sun J 2003 Phys. Lett. A 309387 [13] Wazwaz A M 2006 Chaos, Solitons \& Fractals 28 1005 [14] Wazwaz A M 2006 Chaos, Solitons \& Fractals 28 127 [15] Wazwaz A M 2005 Chaos, Solitons \& Fractals 25 55 [16] Wazwaz A M 2005 Appl. Math. Comput. 167 1179 [17] Zhou Y B, Wang M L and Wang Y M 2003 Phys. Lett. A 308 313 [18] Zhou Y B, Wang M L and Miao T D 2004 Phys. Lett. A 323 77 [19] Wang M L 1996 Phys. Lett. A 216 67 [20] Wang M L 1995 Phys. Lett. A 199 69 [21] Yu Y X, Wang Q and Zhang H Q 2005 Chaos, Solitons\& Fractals 26 1415 [22] Zhang H Q 2007 Chaos, Solitons \& Fractals 32 653 [23]Bangsoo J 2008 Chaos, Solitons \& Fractals 371372 [24] Belmonte-Beitia and Cuevas 2009 J. Phys. A: Math.Theor. 42 11 [25]Zhao Y, Zhang S L and Lou S Y 2009 Chin. Phys. Lett. 26 100201 [26]You F C, Zhang J and HAO H H 2009 Chin. Phys. Lett. 26 090201 [27]Shen M 2009 Chin. Phys. Lett. 26 060401 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|