Chin. Phys. Lett.  2007, Vol. 24 Issue (7): 1791-1794    DOI:
Original Articles |
Noncontinuous Solitary Wave Solutions for Double sine-Gordon Equation
TIAN Li-Xin;YU Shui-Meng;NI Mei-Jie
Nonlinear Science Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 212013
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TIAN Li-Xin, YU Shui-Meng, NI Mei-Jie 2007 Chin. Phys. Lett. 24 1791-1794
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Abstract Using the tanh method and a variable separated ordinary difference equation method to solve the double sine-Gordon equation, we derive some new exact travelling wave solutions, especially a new type of noncontinuous solitary wave solutions. These noncontinuous solitary wave solutions are verified by using the conservation law theory.
Keywords: 02.30.Jr      05.45.Yv     
Received: 23 April 2007      Published: 25 June 2007
PACS:  02.30.Jr (Partial differential equations)  
  05.45.Yv (Solitons)  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2007/V24/I7/01791
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Articles by authors
TIAN Li-Xin
YU Shui-Meng
NI Mei-Jie
[1] Popov C A 2005 Wave Motion 42 309
[2] Wang M L and Li X Z 2006 Chaos, Solitons and Fractals 27 477
[3] Fan E G and Zhang J 2002 J. Phys. Lett. A 305 383
[4] Yu S M and Tian L X 2007 Int. J. Nonlinear Science 3(3) 163
[5] Rosenau P and Hyman J M 1993 Phys. Rev. Lett. 70 564
[6] Tian L X and Yin J L 2005 Chaos, Solitons and Fractals 23 159
[7] Camassa R, Holm D 1993 Phys. Rev. Lett. 71 1661
[8] Yin J L and Tian L X 2007 Int. J. Nonlinear Science 3(2) 133
[9] Tian L X and Song X Y 2004 Chaos, Solitons and Fractals 19 629
[10] Zhang S Y 2007 Appl. Math. Lett. 20 170
[11] Ying L G and Teng Z H 1989 Hyperbolic Conservation LawEquation and Difference Method (Beijing: Academic) (in Chinese)
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