Determination of boundaries of unsteady oscillatory zone in asymptotic solutions of non-integrable dispersive wave equations

2003 ◽  
Vol 318 (6) ◽  
pp. 526-536 ◽  
Author(s):  
G.A. El ◽  
V.V. Khodorovskii ◽  
A.V. Tyurina
Keyword(s):  
Wave Equations ◽  
Asymptotic Solutions ◽  
Dispersive Wave ◽  
Oscillatory Zone

scholarly journals Dispersive waves and caustics

1985 ◽  
Vol 8 (1) ◽  
pp. 93-107 ◽  
Author(s):  
Arthur D. Gorman
Keyword(s):  
Series Solution ◽  
Wave Equations ◽  
Turning Points ◽  
Asymptotic Series ◽  
Dispersive Wave ◽  
Dispersive Waves ◽  
Asymptotic Series Solution

The Lagrange manifold (WKB) formalism enables the determination of the asymptotic series solution of linear, non-dispersive wave equations at turning points. The formalism is adapted to include those equations which model dispersive waves.

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