Abstract
Whitham modulation theory for the two-dimensional Benjamin-Ono (2DBO) equation is presented. A system of five quasilinear first-order partial differential equations is derived. The system describes modulations of the traveling wave solutions of the 2DBO equation. These equations are transformed to a singularity-free hydrodynamic-like system referred to here as the 2DBO-Whitham system. Exact reductions of this system are discussed, the formulation of initial value problems is considered, and the system is used to study the transverse stability of traveling wave solutions of the 2DBO equation.
| Original language | English |
|---|---|
| Article number | 032225 |
| Journal | Physical Review E |
| Volume | 96 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 25 2017 |
Fingerprint
Dive into the research topics of 'Whitham modulation theory for the two-dimensional Benjamin-Ono equation'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver