New infinite sequence solutions to equations of sine-Gordon type

Taogetusang; Yi Li-Na

doi:10.7498/aps.63.210202

Abstract

The following steps are given to search for new solutions to equations of sine-Gordon type. Step one, according to function transformation, the solving of sine-Gordon equation and sinh-Gordon equation is changed into the solving of two kinds of nonlinear ordinary differential equations. Step two, two kinds of nonlinear ordinary differential equations and quasi-Bcklund transformation of the first kind of elliptic equation are obtained. Finally, new infinite sequence solutions to equations of sine-Gordon type are constructed by applying Bcklund transformation and new solutions of the first kind of elliptic equation.

Keywords:

Authors and contacts

1.
The College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11361040), the Science Research Foundation of Institution of Higher Education of Inner Mongolia Autonomous Region, China (Grant No. NJZY12031), and the Natural Science Foundation of Inner Mongolia Autonomous Region China (Grant No. 2010MS0111).

References

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[2]	Xie Y X, Tang J S 2005 Chin. Phys. 14 1303
[3]	Liu C S 2008 Commun. Theor. Phys. 49 153
[4]	Xu Z H, Chen H L, Xian D Q 2012 Commun. Theor. Phys. 57 400
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[6]	Sirendaoreji, Sun J 2003 Phys. Lett. A 309 387
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[15]	Taogetusang, Sirendaoerji, Li S M 2010 Chin. Phys. B 19 080303

Cited By

[1]	Sirendaoerji, Sun J 2002 Phys. Lett. A 298 133
[2]	Xie Y X, Tang J S 2005 Chin. Phys. 14 1303
[3]	Liu C S 2008 Commun. Theor. Phys. 49 153
[4]	Xu Z H, Chen H L, Xian D Q 2012 Commun. Theor. Phys. 57 400
[5]	Taogetusang, Bai Y M 2013 Acta Phys. Sin. 62 100201 (in Chinese) [套格图桑, 白玉梅 2013 62 100201]
[6]	Sirendaoreji, Sun J 2003 Phys. Lett. A 309 387
[7]	Chen Y, Li B, Zhang H Q 2003 Chin. Phys. 12 940
[8]	L Z S, Zhang H Q 2003 Commun. Theor. Phys. 39 405
[9]	Li D S, Zhang H Q 2004 Chin. Phys. 13 984
[10]	Ma S H, Fang J P 2012 Acta Phys. Sin. 61 180505 (in Chinese) [马松华, 方建平 2012 61 180505]
[11]	Liu S K, Fu Z T, Liu S D 2002 Acta Phys. Sin. 51 1923 (in Chinese) [刘式适, 付遵涛, 刘式达 2002 51 1923]
[12]	Lu D C, Hong B J, Tian L X 2006 Acta Phys. Sin. 55 5617 (in Chinese) [卢殿臣, 洪宝剑, 田立新 2006 55 5617]
[13]	Wang M L, Li X Z, Zhang J L 2008 Phys. Lett. A 372 417
[14]	Taogetusang, Sirendaoerji, Li S M 2011 Commun. Theor. Phys. 55 949
[15]	Taogetusang, Sirendaoerji, Li S M 2010 Chin. Phys. B 19 080303

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Catalog

Vol. 63, Issue 21 - 2014-11-05

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