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nlin.SI2021
Periodic waves of the modified KdV equation as minimizers of a new variational problem
Uyen Le, Dmitry E. Pelinovsky
Periodic waves of the modified Korteweg-de Vries (mKdV) equation are identified in the context of a new variational problem with two constraints. The advantage of this variational…
math.AP2021★ 11 cited
Green's function for the fractional KdV equation on the periodic domain via Mittag-Leffler's function
Uyen Le, Dmitry E. Pelinovsky
The linear operator , where and is the fractional Laplacian on the periodic domain, arises in the existence of periodic travelling waves in the…