Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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A new two-component system modelling shallow-water waves


Author: Delia Ionescu-Kruse
Journal: Quart. Appl. Math. 73 (2015), 331-346
MSC (2010): Primary 35Q35, 76B15, 76M30, 37K05, 76B25
DOI: https://doi.org/10.1090/S0033-569X-2015-01369-1
Published electronically: March 30, 2015
Original version: Previous version posted March 16, 2015
Corrected version: Current version corrects publisher's errors in both Equations (1.1) and (1.2).
MathSciNet review: 3357497
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Abstract: For propagation of surface shallow-water waves on irrotational flows, we derive a new two-component system. The system is obtained by a variational approach in the Lagrangian formalism. The system has a noncanonical Hamiltonian formulation. We also find its exact solitary-wave solutions.


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Additional Information

Delia Ionescu-Kruse
Affiliation: Simion Stoilow Institute of Mathematics of the Romanian Academy, Research Unit No. 6, P.O. Box 1-764, 014700 Bucharest, Romania
Email: Delia.Ionescu@imar.ro

DOI: https://doi.org/10.1090/S0033-569X-2015-01369-1
Keywords: Shallow-water waves, variational methods, Hamiltonian structures, solitary waves
Received by editor(s): April 26, 2013
Received by editor(s) in revised form: May 16, 2013
Published electronically: March 30, 2015
Article copyright: © Copyright 2015 Brown University


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