Asymptotic solitons of the Johnson equation
Analysis of PDEs
2015-06-26 v1
Abstract
We prove the existence of non-decaying real solutions of the Johnson equation, vanishing as . We obtain asymptotic formulas as for the solutions in the form of an infinite series of asymptotic solitons with curved lines of constant phase and varying amplitude and width.
Keywords
Cite
@article{arxiv.math/0007205,
title = {Asymptotic solitons of the Johnson equation},
author = {Igor Anders and Anne Boutet de Monvel},
journal= {arXiv preprint arXiv:math/0007205},
year = {2015}
}