26 citations · 42 across the 6 of their papers we have counts for
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math.AP2020★ 5 cited
Asymptotic stability of viscous shocks in the modular Burgers equation
Uyen Le, Dmitry E. Pelinovsky, Pascal Poullet
Dynamics of viscous shocks is considered in the modular Burgers equation, where the time evolution becomes complicated due to singularities produced by the modular nonlinearity. We…
math.AP2020
Periodic waves in the fractional modified Korteweg--de Vries equation
Fábio Natali, Uyen Le, Dmitry E. Pelinovsky
Periodic waves in the modified Korteweg-de Vries (mKdV) equation are revisited in the setting of the fractional Laplacian. Two families of solutions in the local case are given by…