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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 2, Pages 397-398
doi:10.1155/S0161171292000516

Note on modulational instability of Boussinesq wavetrains

S.Roy Choudhury

Department of Mathematics, University of Central Florida, Orlando 32816, FL, USA

Abstract

It is demonstrated that modulational instability may occur in Boussinesq wavetrains for wavenumbers k2>1, in contrast to the result found by Shivamoggi and Debnath. Both Whitham's averaged Lagrangian formulation and the technique of Benjamin and Feir are used.