20 citations · 20 across the 3 of their papers we have counts for
3 papers
math.AP2024
On solitary waves for the Korteweg--de Vries equation on metric star graphs
Delio Mugnolo, Diego Noja, Christian Seifert
We study the Korteweg--de Vries equation on a metric star graph and investigate existence of solitary waves on the metric graph in terms of the coefficients of the equation on each…
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…
math-ph2014★ 20 cited
Topology induced bifurcations for the NLS on the tadpole graph
C. Cacciapuoti, D. Finco, D. Noja
In this paper we give the complete classification of solitons for a cubic NLS equation on the simplest network with a non-trivial topology: the tadpole graph, i.e. a ring with a ha…