Weakly nonlinear dispersive waves under parametric resonance perturbation
- We consider a solution of the nonlinear Klein-Gordon equation perturbed by a parametric driver. The frequency of parametric perturbation varies slowly and passes through a resonant value, which leads to a solution change. We obtain a new connection formula for the asymptotic solution before and after the resonance.
| Author details: | Sergei Glebov, Oleg Kiselev, Nikolai Nikolaevich TarkhanovORCiDGND |
|---|---|
| URL: | http://www3.interscience.wiley.com/cgi-bin/issn?DESCRIPTOR=PRINTISSN&VALUE=0022-2526 |
| DOI: | https://doi.org/10.1111/j.1467-9590.2009.00460.x |
| ISSN: | 0022-2526 |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2010 |
| Publication year: | 2010 |
| Release date: | 2017/03/25 |
| Source: | Studies in applied mathematics. - ISSN 0022-2526. - 124 (2010), 1, S. 19 - 37 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
