|
|
Reviews: |
|
|
A. Kairzhan, D. Noja, and D.E. Pelinovsky,
Standing waves on quantum graphs,
J. Phys. A: Math. Theor. 55 (2022) 243001 (51pp)
|
|
|
|
|
|
Regular articles: |
|
|
A. Kairzhan and D.E. Pelinovsky,
Multi-pulse edge-localized states on quantum graphs,
Analysis and Mathematical Physics 11 171 (26 pages)
(2021)
|
|
|
A. Kairzhan, R. Marangell, D.E. Pelinovsky, and K. Xiao,
Standing waves on a flower graph,
Journal of Differential Equations 271, 719-763
(2021)
|
|
|
G. Berkolaiko, J.L. Marzuola, and D.E. Pelinovsky,
Edge-localized states on quantum graphs in the limit of large mass,
Annales de l'Institut Henri Poincare C, Analyse Non Lineaire 38, 1295-1335
(2021)
|
|
|
D. Noja and D.E. Pelinovsky,
Standng waves of the quintic NLS equation on the tadpole graph,
Calculus of Variations in PDEs, 59, 173 (31 pages)
(2020)
|
|
|
A. Kairzhan, D.E. Pelinovsky, and R.H. Goodman,
Drift of spectrally stable shifted states on star graphs,
SIAM Journal of Applied Dynamical Systems, 18,
1723-1755
(2019)
|
|
|
A. Kairzhan and D.E. Pelinovsky,
Spectral stability of shifted states on star graphs,
Journal of Physics A: Mathematical Theoretical 51 095203 (23 pages)
(2018)
|
|
|
A. Kairzhan and D.E. Pelinovsky,
Nonlinear instability of half-solitons on star graphs,
Journal of Differential Equations 264 7357-7383
(2018)
|
|
|
D.E. Pelinovsky and G. Schneider,
Bifurcations of standing localized waves on periodic graphs,
Annales Henri Poincare 18, 1185-1211
(2017)
|
|
|
S. Gilg, D.E. Pelinovsky and G. Schneider,
Validity of the NLS approximation for periodic quantum graphs,
Nonlinear Differential Equations and Applications 23, 63 (30 pages)
(2016)
|
|
|
J. Marzuola and D.E. Pelinovsky,
Ground states on the dumbbell graph,
Applied Mathematics Research Express 2016, 98-145
(2016)
|
|
|
D. Noja, D. Pelinovsky, and G. Shaikhova
Bifurcations and stability of standing waves in the nonlinear Schrodinger equation
on the tadpole graph,
Nonlinearity 28, 2343-2378
(2015)
|
|
|
|