Traveling waves for the nonlinear variational wave equation
Peer reviewed, Journal article
Published version
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Date
2021Metadata
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- Institutt for matematiske fag [2530]
- Publikasjoner fra CRIStin - NTNU [38672]
Original version
10.1007/s42985-021-00116-5Abstract
We study traveling wave solutions of the nonlinear variational wave equation. In particular, we show how to obtain global, bounded, weak traveling wave solutions from local, classical ones. The resulting waves consist of monotone and constant segments, glued together at points where at least one one-sided derivative is unbounded. Applying the method of proof to the Camassa–Holm equation, we recover some well-known results on its traveling wave solutions.