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 |
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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