Multi-shockpeakons for the stochastic Degasperis-Procesi equation
The deterministic Degasperis-Procesi equation admits weak multi-shockpeakon solutions of the form $ u(x, t) = \sum\limits_{i = 1}^nm_i(t)e^{-|x-x_i(t)|}-\sum\limits_{i = 1}^ns_i(t){\rm sgn}(x-x_i(t))e^{-|x-x_i(t)|}, $ where $ {\rm sgn}(x) $ denotes the signum function with $ {\rm sgn}(0) = 0...
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Format: | Article |
Language: | English |
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AIMS Press
2022-04-01
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Series: | Electronic Research Archive |
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Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2022117?viewType=HTML |