Accession Number : ADA119843

Title :   Nonlinear Waves.

Descriptive Note : Final technical rept.,

Corporate Author : CLARKSON COLL OF TECHNOLOGY POTSDAM NY DEPT OF MATHEMATICS

Personal Author(s) : Ablowitz,Mark J ; Kaup,D J ; Newell,A C

PDF Url : ADA119843

Report Date : 23 Sep 1982

Pagination or Media Count : 602

Abstract : The areas of study during the period of this grant include: A class of physically significant singular nonlinear integro-differential equations; the Riemann-Hilbert boundary value problem and the Inverse Scattering Transform method; Direct linearizing methods for certain nonlinear wave equations and associated nonlinear ordinary differential equations; Focusing instabilities and the propagation of water waves; Ordinary differential equations of Painelve type; and numerical schemes for nonlinear wave equations solvable by the Inverse Scattering Transform method. Research has also been carried out into the following nonlinear systems: Stimulated Raman Scattering and two-photon absorption; Nonlinear resonances and spherical solutions; Nonlinear interactions of Whistler Waves; Exact three-dimensional solutions of the three-wave resonant interaction; Discrete versions of the nonlinear Schrodinger Equation; and Thermal effects on solution propagation.

Descriptors :   *Wave equations, *Nonlinear propagation analysis, Nonlinear analysis, Boundary value problems, Inverse scattering, Nonlinear differential equations, Wave propagation, Water waves

Subject Categories : Numerical Mathematics
      Radiofrequency Wave Propagation

Distribution Statement : APPROVED FOR PUBLIC RELEASE