Analyticity of Solitary-Wave Solutions of Model Equations for Long Waves
- 1 May 1996
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 27 (3) , 725-737
- https://doi.org/10.1137/0527039
Abstract
. It is shown that solitary-wave solutions of model equations for long waves have ananalytic extension to a strip in the complex plane that is symmetric about the real axis. Theclasses of equations to which the analysis applies include equations of Korteweg-de Vries type,the regularized long wave equations, as well as particular instances of nonlinear Schrodingerequations.Key Words: nonlinear, dispersive wave equations; solitary waves; regularity; analyticity;Korteweg-de Vries-type...Keywords
This publication has 7 references indexed in Scilit:
- On the Nonexistence of Soliton Solutions of the Regularized Long-Wave EquationJournal of the Physics Society Japan, 1996
- On the stability of solitary-wave solutions of model equations for long wavesJournal of Nonlinear Science, 1994
- Compactons: Solitons with finite wavelengthPhysical Review Letters, 1993
- Uniqueness of Benjamin's Solitary-Wave Solution of the Benjamin-Ono EquationIMA Journal of Applied Mathematics, 1991
- Solitary-wave solutions of nonlinear problemsPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1990
- Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagationCommunications in Partial Differential Equations, 1987
- A particle representation for Korteweg–de Vries solitonsJournal of Mathematical Physics, 1983