Abstract
It is shown that solitary-wave solutions of model equations for long waves have an analytic extension to a strip in the complex plane that is symmetric about the real axis. The classes of equations to which the analysis applies include equations of Korteweg-de Vries type, the regularized long-wave equations, and particular instances of nonlinear Schrödinger equations.
| Original language | English |
|---|---|
| Pages (from-to) | 725-737 |
| Number of pages | 13 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 27 |
| Issue number | 3 |
| DOIs | |
| State | Published - May 1996 |
Keywords
- Analyticity
- Korteweg-de Vries-type equations
- Nonlinear dispersive wave equations
- Regularity
- Regularized long-wave-type equations
- Schrödinger-type equations
- Solitary waves