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: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China 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 travellingwave form satisfies some special conditions. |
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| Keywords: | generalized compound KdV equation generalized compound KdV-Burgers equation |
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