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