Collision of water wave solitons

• Authors: Nora Fenyvesi , Gyula Bene
• Languages of publication: EN

Abstracts

EN

A classification of the time evolution of the two-soliton solutions of the Boussinesq equation is given, based on the number of extrema of the wave. For solitons moving in the same directions, three different scenarios are found, while it is shown that only one of these scenarios exists in case of oppositely moving solitons.

Keywords

EN

hydrodynamics; Boussinesq’s equation; nonlinear surface gravity waves; solitons; Zakharov-Shabat method

• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 11
• Pages: 1605-1615

Dates

published

1 - 11 - 2013

online

10 - 12 - 2013

Contributors

author

Nora Fenyvesi

• Institute of Physics, Loránd Eötvös University, Pázmány Péter sétány 1/A, H-1117, Budapest, Hungary,

author

Gyula Bene

• Institute of Physics, Loránd Eötvös University, Pázmány Péter sétány 1/A, H-1117, Budapest, Hungary,

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Identifiers

DOI

10.2478/s11534-013-0309-y