Open AccessA special form of solution to half-wave equations
Author(s) -
Hyungjin Huh
Publication year - 2022
Publication title -
evolution equations and control theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 19
eISSN - 2163-2480
pISSN - 2163-2472
DOI - 10.3934/eect.2021056
Subject(s) - wave equation , mathematics , nonlinear system , mathematical analysis , hilbert transform , mathematical physics , physics , quantum mechanics , statistics , spectral density
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.