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 platelet-reinforced metal-based composites