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20122026
most citedThe initial-boundary value problem for the Kawahara equation on the half-line

7 citations · 29 across the 22 of their papers we have counts for

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math.AP2026

Higher order KdV-type equations with Robin boundary conditions on

Fernando. A. Gallego, Chulkwang. Kwak

We study the initial boundary value problem (IBVP) for the higher order Korteweg--de Vries type equation \[\partial_tu+(-1)^{j+1}\partial_x^{2j+1}u+\frac12\partial_x(u^2)=0,\qquad…

math.AP2026

Well-posedness issues for the generalized Benjamin--Bona--Mahony equation

Seunghyun Kim, Chulkwang Kwak

In this paper, we consider the one-dimensional generalized Benjamin--Bona--Mahony (gBBM) equation \[(1-\partial_x^2)u_t+(u+u^p)_x=0,\qquad p=2,3,4,\dots,\] posed either on the real…