Nonlinear wave interaction problems in three dimensional case
Exactly Solvable and Integrable Systems
2016-12-02 v1
Abstract
Three dimensional nonlinear wave interactions have been analytically described. The procedure under interest can be applied to three dimensional quasilinear systems of first order, whose hydrodynamic reductions are homogeneous semi-Hamiltonian hydrodynamic type systems (i.e. possess a diagonal form and infinitely many conservation laws). The interaction of N waves was studied. In particular we prove that they behave like simple waves and they distort after the collision region. The amount of the distortion can be analytically computed.
Cite
@article{arxiv.1612.00162,
title = {Nonlinear wave interaction problems in three dimensional case},
author = {C. Curró and N. Manganaro and M. V. Pavlov},
journal= {arXiv preprint arXiv:1612.00162},
year = {2016}
}