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We give here a new class of scalar equations for the Water-Waves problem taking into account variable bottom topographies. Many variable depth KdV equations existing in the literature are recovered as particular cases. We also derive a new linear models for these new equations of same accuracy and we validate numerically these results. We study all these equations and we treat the phenomena of breaking wave.

Produktbeschreibung
We give here a new class of scalar equations for the Water-Waves problem taking into account variable bottom topographies. Many variable depth KdV equations existing in the literature are recovered as particular cases. We also derive a new linear models for these new equations of same accuracy and we validate numerically these results. We study all these equations and we treat the phenomena of breaking wave.
Autorenporträt
Samer Israwi, Ph.D degree in Mathematics from University of Bordeaux 1, France. Full professor, Lebanese University. Born in Beirut 05/07/1983. Doctor in applied Mathematics. His research activity is devoted to PDEs, numerical analysis with applications to oceanography theory.