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20112026
most citedExistence of a ground state and blow-up problem for a nonlinear Schrodinger equation with critical growth

25 citations · 66 across the 12 of their papers we have counts for

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math.AP2026

Transverse Instability and Bifurcation Analysis of the line soliton for the NLS equation on a Fractured Strip

Hiroaki Kikuchi, Boris Shakarov, Kenta Tomioka

We consider the nonlinear Schrödinger equation on a two-dimensional strip with an attractive interaction and power nonlinearity. We investigate the transverse stability and bif…