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.
|Number of pages||8|
|Journal||IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)|
|Publication status||Published - 1 Jan 1991|
ASJC Scopus subject areas
- Applied Mathematics