Abstract
In this short note, we give a unified rigorous derivation of vortex motion laws of nonlinear wave (NLW) and nonlinear heat (NLH) equations based on the fluid dynamic approach the authors recently developed in solving the nonlinear Schrödinger (NLS) equation. Hence in all three complex scalar field equations, the motion laws follow from the Euler-type equations, and the knowledge of the finite mass Radon defect measure.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 455-460 |
| Number of pages | 6 |
| Journal | Mathematical Research Letters |
| Volume | 5 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1998 |
ASJC Scopus subject areas
- General Mathematics