Explicit multiple singular periodic solutions and singular soliton solutions to KdV equation
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Abstract:
Based on some stationary periodic solutions and stationary soliton solutions, one studies the general solution for the relative lax system, and a number of exact solutions to the Korteweg-de Vries (KdV) equation are first constructed by the known Darboux transformation, these solutions include double and triple singular periodic solutions as well as singular soliton solutions whose amplitude depend on some rational functions.
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Journal title
volume 41 issue 2
pages 491- 498
publication date 2015-04-01
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