"Frank Merle has had enormous success taming these blowups in the equations describing lasers, fluids and quantum mechanics. His trick is to embrace the nonlinear."
"Merle believes that all nonlinear systems can be dealt with by thinking of them as a bunch of these solitons coming together."
"Solitons are able to keep their form and energy while they move about in realms where the gnarliest math reigns like a single rogue wave."
"I see the world as a more catastrophic place to live."
Frank Merle specializes in the mathematics of highly nonlinear systems, which react dramatically to small changes. These systems can exhibit extreme behaviors known as singularities or blowups. Merle has achieved significant success in managing these blowups in equations related to lasers, fluids, and quantum mechanics. He adopts a unique approach by directly studying the nonlinear aspects rather than relying on linear approximations. His research emphasizes solitons, which maintain their form and energy in chaotic environments, suggesting that all nonlinear systems can be understood through these structures.
Read at www.scientificamerican.com
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