Painlevé Property, Bäcklund Transformation and Soliton Fusion of Nonlinear Vibrating String Equation

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2010, Vol. 27 ›› Issue (2): 309-316.

Painlevé Property, Bäcklund Transformation and Soliton Fusion of Nonlinear Vibrating String Equation

1. Shandong Computer Science Center, Jinan 250014, China;
2. Department of Science, Nanchang Institute of Technology, Nanchang 330099, China;
3. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

Received:2008-11-05 Revised:2009-04-18 Online:2010-03-25 Published:2010-03-25
Supported by:
Supported by National Science Foundation of China (Grant No. 60973146);National Science Foundation of Shandong Province,China(Grant No. 2R2009GM036) and Foundation for Study Encouragement to Middel-aged and Young Scientists of Shandong Province,China (Grant No.2008BS01019)

Abstract

Abstract: With WTC algorithm developed by Weiss, Tabor and Carnevale, we concluded that a nonlinear vibrating string equation has Painlevé property. Bäcklund transformation is obtained. Furthermore, soliton fusion is analyzed by means of Hirota's direct method and Bäcklund transformation.

Key words: Painlevé, property, Bäcklund transformation, soliton fusion, nonlinear vibrating string equation

CLC Number:

O175.29

XU Shujiang, JIANG Lu, GUO Yucui. Painlevé Property, Bäcklund Transformation and Soliton Fusion of Nonlinear Vibrating String Equation[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 27(2): 309-316.

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Painlevé Property, Bäcklund Transformation and Soliton Fusion of Nonlinear Vibrating String Equation

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