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 -