Session S22 - Deterministic and probabilistic aspects of nonlinear evolution equations

Wednesday, July 14, 16:35 ~ 17:05 UTC-3

Solitary waves in generalized KdV and HBO-type equations

Svetlana Roudenko

Florida International University, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We discuss solitary wave solutions and soliton resolution in the generalized KdV equation with nonlinearities $|u|^{p-1} \partial_x u$, $p>1$, including also the critical and supercritical cases ($p \geq 5$). We then look at its higher-dimensional, fractional generalization in 2d, such as the HBO equation, and discuss behavior of solutions in various cases as well as stability of solitary waves.

Joint work with Oscar Riaño (Florida International University, USA) and Kai Yang (Florida International University, USA).

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