Conditional Stability of Solitary-Wave Solutions for Generalized Compound KdV Equation and Generalized Compound KdV-Burgers Equation |
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| Authors: | ZHANG Wei-Guo DONG Chun-Yan FAN En-Gui |
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| Affiliation: | 1. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;2. Institute of Mathematics, Fudan University, Shanghai 200433, China |
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| Abstract: | In this paper, we discuss conditional stability of solitary-wave solutions in the sense of Liapunov for the generalized compound KdV equation and the generalized compound KdV-Burgers equations. Linear stability of the exact solitary-wave solutions is proved for the above two types of equations when the small disturbance of travelling wave form satisfies some special conditions. |
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| Keywords: | generalized compound KdV equation generalized compound KdV-Burgers equation |
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