Nonlinear waves in materials with mixed nonlinearity.

DOI10.1016/S0165-2125(97)00036-XzbMath1074.35565MaRDI QIDQ5960534

Edward A. Cox, Alfred Kluwick

Publication date: 8 April 2002

Published in: Wave Motion (Search for Journal in Brave)

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hydro- and aero-acoustics (76Q05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (7)

On weakly nonlinear waves in media exhibiting mixed nonlinearity. ⋮ Weakly Nonlinear Waves in Nonideal Fluids ⋮ TRANSVERSE RESONANT OSCILLATIONS IN ACOUSTIC DUCTS ⋮ A modified Zabolotskaya-Khokhlov equation for systems having small quadratic nonlinearity ⋮ Nonlinear Wave Propagation Through a Radiating van der Waals Fluid with Variable Density ⋮ The formation of shock wave in a two-dimensional supersonic planar and axisymmetric non-ideal gas flow with magnetic field ⋮ Nonlinear wave propagation through a stratified atmosphere

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Caustics of nonlinear waves
• Two-dimensional non-linear evolution equations: The derivation and the transient wave solution
• Reductive perturbation method for quasi one-dimensional nonlinear wave propagation. I
• A general scheme for the derivation of evolution equations describing mixed nonlinearity
• Shock induced transitions and phase structures in general media. Papers of a workshop, held in Minneapolis, MN, USA, Oct. 1990
• Boundary layer problems in diffraction theory
• Weakly nonlinear high frequency waves
• Nonlinear diffraction and caustic formation
• On the propagation of waves exhibiting both positive and negative nonlinearity
• Transverse Diffraction of Nonlinear Waves and Singular Rays
• Flow past a constriction in a channel: a modal description
• Propagation of Pulses and Weak Shocks in Nonlinear Laminated Composites
• Supersonic-Transonic Flow Generated by a Thin Airfoil in a Stratified Atmosphere
• On the three-dimensional internal waves excited by topography in the flow of a stratified fluid
• Nonlinear hyperbolic waves
• The generalized Burgers and Zabolotskaya-Khokhlov equations
• Nonclassical symmetry reductions and exact solutions of the Zabolotskaya–Khokhlov equation
• Non-linear, High Frequency Sound Waves
• Waves in fluids
• Uniform asymptotic expansions at a caustic
• A Fundamental Derivative in Gasdynamics
• Zur Ausbreitung schwacher Stöße in dreidimensionalen instationären Strömungen
• Negative shock waves

This page was built for publication: Nonlinear waves in materials with mixed nonlinearity.