Standard

Nonlinear wave interaction problems in the three-dimensional case. / Curró, C.; Manganaro, N.; Pavlov, M. V.

In: Nonlinearity, Vol. 30, No. 1, 01.01.2017, p. 207-224.

Research output: Contribution to journal › Article › peer-review

Harvard

Curró, C, Manganaro, N & Pavlov, MV 2017, 'Nonlinear wave interaction problems in the three-dimensional case', Nonlinearity, vol. 30, no. 1, pp. 207-224. https://doi.org/10.1088/1361-6544/30/1/207

APA

Curró, C., Manganaro, N., & Pavlov, M. V. (2017). Nonlinear wave interaction problems in the three-dimensional case. Nonlinearity, 30(1), 207-224. https://doi.org/10.1088/1361-6544/30/1/207

Vancouver

Curró C, Manganaro N, Pavlov MV. Nonlinear wave interaction problems in the three-dimensional case. Nonlinearity. 2017 Jan 1;30(1):207-224. doi: 10.1088/1361-6544/30/1/207

Author

Curró, C. ; Manganaro, N. ; Pavlov, M. V. / Nonlinear wave interaction problems in the three-dimensional case. In: Nonlinearity. 2017 ; Vol. 30, No. 1. pp. 207-224.

BibTeX

@article{c8d80b7bb6b84afb85dfd2191140fb66,
title = "Nonlinear wave interaction problems in the three-dimensional case",
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 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.",
keywords = "generalized hodograph method, hydrodynamic integrable systems, nonlinear wave interactions",
author = "C. Curr{\'o} and N. Manganaro and Pavlov, {M. V.}",
year = "2017",
month = jan,
day = "1",
doi = "10.1088/1361-6544/30/1/207",
language = "English",
volume = "30",
pages = "207--224",
journal = "Nonlinearity",
issn = "0951-7715",
publisher = "IOP Publishing Ltd.",
number = "1",

}

RIS

TY - JOUR

T1 - Nonlinear wave interaction problems in the three-dimensional case

AU - Curró, C.

AU - Manganaro, N.

AU - Pavlov, M. V.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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 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.

AB - 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 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.

KW - generalized hodograph method

KW - hydrodynamic integrable systems

KW - nonlinear wave interactions

UR - http://www.scopus.com/inward/record.url?scp=85009165556&partnerID=8YFLogxK

U2 - 10.1088/1361-6544/30/1/207

DO - 10.1088/1361-6544/30/1/207

M3 - Article

AN - SCOPUS:85009165556

VL - 30

SP - 207

EP - 224

JO - Nonlinearity

JF - Nonlinearity

SN - 0951-7715

IS - 1

ER -

ID: 10316979