Periodical Solutions of Certain Strongly Nonlinear Wave Equations
Abstract
We consider a strongly nonlinear wave equation involving power nonlinearity which allows separation of variables. The exponent of power nonlinearity is chosen as a parameter of asymptotic integration. It is shown that it is possible to construct analytic periodic solutions.
 Publication:

Numerical Analysis and Applied Mathematics ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics
 Pub Date:
 September 2011
 DOI:
 10.1063/1.3636758
 Bibcode:
 2011AIPC.1389..442A
 Keywords:

 wave equations;
 integration;
 initial value problems;
 composite materials;
 03.65.Pm;
 02.60.Jh;
 04.20.Ex;
 81.05.Ni;
 Relativistic wave equations;
 Numerical differentiation and integration;
 Initial value problem existence and uniqueness of solutions;
 Dispersion fiber and plateletreinforced metalbased composites