Traveling wave solutions of the Benjamin-Bona-Mahony water wave equations (Q1725289)
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scientific article; zbMATH DE number 7023322
| Language | Label | Description | Also known as |
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| English | Traveling wave solutions of the Benjamin-Bona-Mahony water wave equations |
scientific article; zbMATH DE number 7023322 |
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Traveling wave solutions of the Benjamin-Bona-Mahony water wave equations (English)
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14 February 2019
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Summary: The modeling of unidirectional propagation of long water waves in dispersive media is presented. The Korteweg-de Vries (KdV) and Benjamin-Bona-Mahony (BBM) equations are derived from water waves models. New traveling solutions of the KdV and BBM equations are obtained by implementing the extended direct algebraic and extended sech-tanh methods. The stability of the obtained traveling solutions is analyzed and discussed.
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