Analyticity of Solitary-Wave Solutions of Model Equations for Long Waves

Analyticity of Solitary-Wave Solutions of Model Equations for Long Waves

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 e...

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Veröffentlicht in:SIAM journal on mathematical analysis 1996-05, Vol.27 (3), p.725-737
Hauptverfasser: Li, Yi A., Bona, Jerry L.
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Fourier transforms
Mathematical functions
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Zusammenfassung: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 Schrodinger equations.
ISSN:0036-1410
1095-7154
DOI:10.1137/0527039