Abstract
It is shown, using the maximum principle for hear elliptic equations, estimates on a Green's function, and the Cauchy-Riemann equations, that every nonconstant supercritical solitary-wave solution of the pseudo-differential equation known the Benjamin-Ono equation is one of a family of such solutions found by Benjamin in his paper where this equation first appeared in 1967.
| Original language | English |
|---|---|
| Pages (from-to) | 21-28 |
| Number of pages | 8 |
| Journal | IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications) |
| Volume | 46 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 1 Jan 1991 |
ASJC Scopus subject areas
- Applied Mathematics