NDLI: Focusing of Spherical Nonlinear Pulses for Nonlinear Wave Equations

Content Provider	Springer Nature Link
Author	Yuan, Ming sheng
Copyright Year	2005
Abstract	This paper describes the behavior of spherical pulse solutions of a system of semilinear wave equations in three space variables. Away from the focal point, we describe solutions with nonlinear geometric optics. We show that the approximation given by nonlinear geometric optics is valid before and after the focal point. We obtain a global asymptotic description including an approximation which is a solution of the linear wave equations near the caustic.
Ending Page	428
Page Count	14
Starting Page	415
File Format	PDF
ISSN	01689673
e-ISSN	16183932
Journal	Acta Mathematicae Applicatae Sinica
Issue Number	3
Volume Number	21
Language	English
Publisher	Springer-Verlag
Publisher Date	2005-01-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Nonlinear waves Nonlinear wave equations Mathematical and Computational Physics spherical pulses focusing Applications of Mathematics Math Applications in Computer Science Initial value problems for second-order hyperbolic equations Asymptotic behavior of solutions
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Focusing of Spherical Nonlinear Pulses for Nonlinear Wave Equations