A Constantin and R S Johnson 2006 J. Phys. A: Math. Gen. 39 L215 doi:10.1088/0305-4470/39/14/L01
A Constantin1 and R S Johnson2
Show affiliationsWe doubt the relevance of soliton theory to the modelling of tsunamis, and present a case in support of an alternative view. Although the shallow-water equations do provide, we believe, an appropriate basis for this phenomenon, an asymptotic analysis of the solution for realistic variable depths, and for suitable background flows, is essential for a complete understanding of this phenomenon. In particular we explain how a number of tsunami waves can arrive at a shoreline.
91.30.Px Phenomena related to earthquake prediction
37K40 Soliton theory, asymptotic behavior of solutions
41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (See also 30E15)
Issue 14 (7 April 2006)
Received 5 February 2006, in final form 3 March 2006
Published 22 March 2006
A Constantin and R S Johnson 2006 J. Phys. A: Math. Gen. 39 L215
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