In preparation

1. Kikuchi, H., Shakarov, B. et Tomioka, K., Transverse Instability and Bifurcation Analysis of the line soliton for the NLS equation on a Fractured Strip.

Preprints

1. Lafontaine, D., et Boris Shakarov, Scattering for Defocusing NLS with Inhomogeneous Nonlinear Damping and Nonlinear Trapping Potential
   
   arXiv:2603.11765 (2026)
   
   

2. Durand-Simonnet, È., Galant, D., et Boris Shakarov, On the defocusing stationary nonlinear Schrödinger equation on metric graphs
   
   hal-05521303v1 (2026)
   
   

3. Le Coz, S., et Boris Shakarov, Ground States for the Nonlinear Schrödinger Equation on Open Books and Dimensional Reduction to Metric Graphs
   
   hal-05425865 (2025)
   
   

4. Le Coz, S., et Boris Shakarov, Ground states on a fractured strip and one-dimensional reduction
   
   arXiv:2411.18187 (2024)
   
   

Publications

1. Durand-Simonnet, È., et Boris Shakarov, Existence and stability of ground states for the defocusing nonlinear Schrödinger equation on Quantum Graphs
   
   Commun. Pure Appl. Anal. (2026)
   
   https://doi.org/10.3934/cpaa.2026029
   
   

2. Lafontaine, D., et Boris Shakarov, Scattering for defocusing cubic NLS under locally damped strong trapping
   
   Ann. Henri Lebesgue (to appear, 2025)
   
   arXiv:2502.06306
   
   https://ahl.centre-mersenne.org/page/coming-articles/
   
   

3. Antonelli, P., et Boris Shakarov, On the formation of singularity for the slightly supercritical NLS equation with nonlinear damping
   
   J. Dyn. Diff. Equat. (2025)
   
   https://doi.org/10.1007/s10884-025-10438-2
   
   

4. Boris Shakarov, Global Solutions and Asymptotic Behavior to a Norm-preserving Non-local Parabolic Flow
   
   Boll. Unione Mat. Ital. 18, 1215–1234 (2025)
   
   https://doi.org/10.1007/s40574-025-00476-5
   
   

5. Antonelli, P., et Boris Shakarov, Stability of cnoidal waves for the damped nonlinear Schrödinger equation
   
   J. Hyperbolic Differ. Equ. 21, No. 4, 1045–1086 (2024)
   
   https://doi.org/10.1142/S0219891624500176
   
   

6. Antonelli, P., et Boris Shakarov, Existence and large time behavior for a dissipative variant of the rotational NLS equation
   
   Commun. Math. Sci. 22, No. 6, 1601–1633 (2024)
   
   https://doi.org/10.4310/CMS.2024.v22.n6.a7
   
   

7. Antonelli, P., Cannarsa, P., et Boris Shakarov, Existence and asymptotic behavior for L²-norm preserving nonlinear heat equations
   
   Calc. Var. 63, 108 (2024)
   
   https://doi.org/10.1007/s00526-024-02724-6
   
   

8. Georgiev, V., et Boris Shakarov, Global large data solutions for 2D Dirac equation with Hartree-type interaction
   
   Int. Math. Res. Notices, Vol. 2022, Issue 17, 12803–12820
   
   https://doi.org/10.1093/imrn/rnab082
   
   

9. Georgiev, V., et Boris Shakarov, The boson star equation with Hartree-type nonlinearity: global existence in H¹/²(ℝ²)
   
   Pliska Studia Mathematica Bulgarica, Vol. 30, No. 1 (2019)
   
   http://hdl.handle.net/10525/3614