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International Journal of Mathematics and Mathematical Sciences 
Volume 8 (1985), Issue 1, Pages 93-107
doi:10.1155/S0161171285000084

Dispersive waves and caustics

Arthur D. Gorman

Department of Engineering Science, Lafayette College, Easton 18042, Pennsylvania, USA

Received 30 November 1984

Abstract

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.