6533b7d6fe1ef96bd126647f
RESEARCH PRODUCT
ON THE BOUSSINESQ HIERARCHY
Gaetana GambinoA. M. Grecosubject
Waves and shallow waterIntegrable systemLinearizationSingularity analysisMathematical analysisBoussinesq approximation (water waves)CurvatureNonlinear evolutionMathematicsdescription
A new sequence of nonlinear evolution systems satisfying the zero curvature property is constructed, by using the invariant singularity analysis. All these systems are completely integrable and a pseudo-potential (linearization) is explicitly determined for each of them. The second system of the sequence is the Broer-Kaup system, which, as is well known, corresponds to the higher order Boussinesq approximation in describing shallow water waves.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-06-01 | Waves and Stability in Continuous Media |