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math.AP2021
Symmetry of periodic traveling waves for nonlocal dispersive equations
Gabriele Bruell, Long Pei
Of concern is the a priori symmetry of traveling wave solutions for a general class of nonlocal dispersive equations \[ u_t +(u^2 +Lu)_x =0, \] where is a Fourier multiplier op…
math.AP2019
Exponential decay and symmetry of solitary waves to the Degasperis-Procesi equation
Long Pei
We improve the decay argument by [Bona and Li, J. Math. Pures Appl., 1997] for solitary waves of general dispersive equations and illustrate it in the proof for the exponential dec…
math.AP2017★ 12 cited
A conditional well-posedness result for the bidirectional Whitham equation
Mats Ehrnström, Long Pei, Yuexun Wang
We consider the initial-value problem for the bidirectional Whitham equation, a system which combines the full two-way dispersion relation from the incompressible Euler equations w…