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SUMMARY:Non-integrable KdV-like models: solitons\, breathers\, compactons 
 and rogue waves - Efim Pelinovsky (None / Other)
DTSTART:20220714T093000Z
DTEND:20220714T100000Z
UID:TALK175874@talks.cam.ac.uk
DESCRIPTION:We analyze the solutions of the KdV-like equation $ u_t + [F (
 u)]_x + u_xxx = 0 $\, where the leading term is $ F (u) &sim\; u^m $ or $ 
 u|^q $\, with the rationales m and q. The well-known integrable KdV equati
 ons with m = 2 or 3 are particular cases of the generalized equation. We f
 ound analytically travelling waves in the form of solitons with exponentia
 l tails\, algebraic solitons and compactons for various values of the expo
 nents in the nonlinear term. Numerical simulations demonstrate the travell
 ing wave stability and the weak inelasticity at the wave collisions. Breat
 hers and rogue waves appeared numerically in the random wave field describ
 ed by this equation.
LOCATION:Seminar Room 1\, Newton Institute
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