Diffractive Nonlinear Geometric Optics for Short Pulses
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Publication:4429873
DOI10.1137/S0036141002403584zbMath1036.35049OpenAlexW2152058657MaRDI QIDQ4429873
Jeffrey Rauch, Deborah Alterman
Publication date: 30 September 2003
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036141002403584
Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60) Asymptotic expansions of solutions to PDEs (35C20) Geometric optics (78A05)
Related Items (15)
Geometric Optics for Rayleigh Pulses in Nonlinear Elasticity ⋮ Propagation of ultra-short optical pulses in cubic nonlinear media ⋮ HyperbolicLpMultipliers are Translations ⋮ Rigorous justification of the short-pulse equation ⋮ Approximation of High-Frequency Wave Propagation in Dispersive Media ⋮ Geometric Optics for Surface Waves in Nonlinear Elasticity ⋮ Nonlinear geometric optics for reflecting uniformly stable pulses ⋮ Validity of nonlinear geometric optics with times growing logarithmically ⋮ Focusing of spherical nonlinear pulses in ${\mathbb R}^{1+3}$ ⋮ Amplification of pulses in nonlinear geometric optics ⋮ Long waves in ferromagnetic media, Khokhlov--Zabolotskaya equation ⋮ Focusing of spherical nonlinear pulses for nonlinear wave equations ⋮ Diffractive short pulse asymptotics for nonlinear wave equations ⋮ Boundedness of planar jump discontinuities for homogeneous hyperbolic systems ⋮ THE LONG WAVE LIMIT FOR A GENERAL CLASS OF 2DQUASILINEAR HYPERBOLIC PROBLEMS
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