ON THE GENERAL-SOLUTION OF THE DALEMBERT EQUATION WITH A NONLINEAR EIKONAL CONSTRAINT AND ITS APPLICATIONS

Authors
ZHDANOV RZ REVENKO IV FUSHCHYCH WI
Citation
Rz. Zhdanov et al., ON THE GENERAL-SOLUTION OF THE DALEMBERT EQUATION WITH A NONLINEAR EIKONAL CONSTRAINT AND ITS APPLICATIONS, Journal of mathematical physics, 36(12), 1995, pp. 7109-7127
Citations number
28
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
36
Issue
12
Year of publication
1995
Pages
7109 - 7127
Database
ISI
SICI code
0022-2488(1995)36:12<7109:OTGOTD>2.0.ZU;2-B
Abstract
We construct the general solutions of the system of nonlinear differen tial equations square(n)u=0, u(mu)u(mu)=0 in the four- and five-dimens ional complex pseudo-Euclidean spaces. The results obtained are used t o reduce the multidimensional nonlinear d'Alembert equation square(4)u =F(u) to ordinary differential equations and to construct its new exac t solutions. (C) 1995 American Institute of Physics.