What is it about?
The goal is to understand what happens t a nonlinear wave as it makes a sharp turn or enters a forked channel region. It is a nontypical reflection-transmission problem.
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Why is it important?
In a follow up paper (JFM 2015) a new waves scenario was presented with nonlinear waves propagating on a graph. Namely a 1D domain that can fork with prescribed angles.
Perspectives
New mathematical problems were presented and that call for further developments: nonlinear waves on graphs, where the branching reaches have prescribed angles, and a new compatibility condition at the node was presented.
Andre Nachbin
IMPA/Brazil
Read the Original
This page is a summary of: SOLITARY WAVES IN OPEN CHANNELS WITH ABRUPT TURNS AND BRANCHING POINTS, Journal of Nonlinear Mathematical Physics, January 2012, Taylor & Francis,
DOI: 10.1142/s1402925112400116.
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