Name
Title | ||
|---|---|---|
Low regularity justification results for envelope approximations of nonlinear wave packets in periodic media. |
Abstract | ||
|---|---|---|
We consider a cubic nonlinear wave equation with highly oscillating cubic coefficient and wave packet initial data. Using a regularization step of the initial data, we give a low regularity justification of the Nonlinear Schrodinger equation as the envelope equation. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.3233/ASY-161375 | ASYMPTOTIC ANALYSIS |
Keywords | Field | DocType |
Klein-Gordon equation,nonlinear Schrodinger equation,justification,wave packet,highly oscillating periodic media,amplitude formalism,low regularity | Wave packet,Mathematical optimization,Oscillation,Nonlinear system,Mathematical analysis,Approximations of π,Regularization (mathematics),Nonlinear Schrödinger equation,Periodic graph (geometry),Slowly varying envelope approximation,Mathematics | Journal |
Volume | Issue | ISSN |
99 | 1-2 | 0921-7134 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Karsten Matthies | 1 | 1 | 2.65 |
| Hannes Uecker | 2 | 1 | 1.39 |