Transverse diffraction of weakly nonlinear waves for a first order quasi-linear system involving source-like terms

• Autorzy: Conforto F. , Giambo S. , Valenti G.
• Języki publikacji: EN

Abstrakty

EN

Making use of the ray theory and the method of asymptotic expansion of multiple scales, a study of the diffraction of weakly nonlinear waves in a direction transverse to the rays, through media described by dissipative or dispersive hyperbolic systems, is proposed. It is shown that the wave amplitude satisfies a generalized Zabolotskaya-Khokhlov equation in the dissipative case, or a generalized Kadomtsev-Petviashvili equation in the dispersive case. Moreover, plane, cylindrical and spherical waves are also investigated. The present approach is used to study wave diffraction in a heat-conducting fluid.

Słowa kluczowe

EN

wave diffraction; transverse wave diffraction; wave propagation; wave equation; nonlinear differential equation; heat conduction; dispersive hyperbolic system; dissipative hyperbolic system; Zabolotskaya-Khokhlov equation; Kadomtsey-Petviashvili equation; spherical wave; cylindrical wave; weakly nonlinear waves; irreversible thermodynamics

PL

dyfrakcja fal; dyfrakcja poprzeczna fal; propagacja fal; system quasi-liniowy; równanie falowe; równanie różniczkowe nieliniowe; przewodzenie ciepła; fala kulista; fala cylindryczna

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Journal of Technical Physics
• Rocznik: 2004
• Tom: Vol. 45, no 1
• Strony: 55--69
• Opis fizyczny: Bibliogr. 17 poz.,

Twórcy

autor

Conforto F.

• Department of Mathematics University of Messina Contrada Papardo, Salita Sperone, 31, 98166 Messina, Italy

autor

Giambo S.

• Department of Mathematics University of Messina Contrada Papardo, Salita Sperone, 31, 98166 Messina, Italy

autor

Valenti G.

• Department of Mathematics University of Messina Contrada Papardo, Salita Sperone, 31, 98166 Messina, Italy

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