most citedThe (2+1)-dimensional Hirota-Maxwell-Bloch equation: Darboux transformation and soliton solutions

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math-ph2014

Bifurcations and stability of standing waves in the nonlinear Schrödinger equation on the tadpole graph

Diego Noja, Dmitry Pelinovsky, Gaukhar Shaikhova

We develop a detailed rigorous analysis of edge bifurcations of standing waves in the nonlinear Schrödinger (NLS) equation on a tadpole graph (a ring attached to a semi-infinite li…