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doi: 10.3934/eect.2021056
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A special form of solution to half-wave equations

 Department of Mathematics, Chung-Ang University, Seoul 156-756, Republic of Korea

* Corresponding author: Hyungjin Huh

Received  April 2021 Revised  August 2021 Early access October 2021

Fund Project: This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government (MSIT) (2020R1F1A1A01072197)

We investigate a special form of solution to the one-dimensional half-wave equations with particular forms of nonlinearities. Using the special form of solution involving Hilbert transform, the half-wave equations reduce to nonlocal nonlinear transport equation which can be solved explicitly.

Citation: Hyungjin Huh. A special form of solution to half-wave equations. Evolution Equations & Control Theory, doi: 10.3934/eect.2021056
References:

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