Works cited by this work

47 works

Work: Transparent nonlinear networks

Quantum graphs: Applications to quantum chaos and universal spectral statistics
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ABI
Periodic Orbit Theory and Spectral Statistics for Quantum Graphs
Tsampikos Kottos, Uzy Smilansky
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ABI
Integrable nonlinear Schrödinger equation on simple networks: Connection formula at vertices
Z. A. Sobirov, D. U. Matrasulov, K.K. Sabirov +2
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ABI
FAST SOLITONS ON STAR GRAPHS
RICCARDO ADAMI, CLAUDIO CACCIAPUOTI, DOMENICO FINCO +1
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ABI
Soliton transport in tubular networks: Transmission at vertices in the shrinking limit
Hannes Uecker, Daniel Grieser, Z. A. Sobirov +2
ArticleNonlinear Photonic SystemsPhysical Review E201523 citations
ABI
FAST SOLITONS ON STAR GRAPHS
Riccardo Adami, Claudio Cacciapuoti, Domenico Finco +1
Review article201022 citations
ABI
Transparent quantum graphs
Jambul Yusupov, K.K. Sabirov, Matthias Ehrhardt +1
ArticleSpectral Theory in Mathematical PhysicsPhysics Letters A201920 citations
ABI
Nonlinear Schrödinger equation on graphs: recent results and open problems
Diego Noja
Article201319 citations
ABI
Stationary nonlinear Schrödinger equation on simplest graphs
K.K. Sabirov, Z. A. Sobirov, D. Babajanov +1
ArticleAdvanced Mathematical Physics ProblemsPhysics Letters A201318 citations
ABI
Sine-Gordon solitons in networks: Scattering and transmission at vertices
Zarif Sobirov, Doniyor Babajanov, Davron Matrasulov +2
Article201615 citations
ABI
Nonlinear Schrödinger equation on graphs: recent results and open problems
Diego Noja
Article201413 citations
ABI
Untitled
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ABI
Charged solitons in branched conducting polymers
D. Babajanov, H. Matyokubov, D. Matrasulov
ArticleOrganic Electronics and PhotovoltaicsThe Journal of Chemical Physics201813 citations
ABI
Untitled
Other13 citations
ABI
The stationary sine-Gordon equation on metric graphs: Exact analytical solutions for simple topologies
K.K. Sabirov, S. Rakhmanov, D. U. Matrasulov +1
ArticlePhysics of Superconductivity and MagnetismPhysics Letters A201813 citations
ABI
Untitled
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Spectral stability of shifted states on star graphs
Adilbek Kairzhan, Dmitry E. Pelinovsky
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Dynamics of Dirac solitons in networks
K.K. Sabirov, D. Babajanov, D. U. Matrasulov +1
ArticleNonlinear Photonic SystemsJournal of Physics A Mathematical and Theoretical201810 citations
ABI
Untitled
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Nonlinear waves in networks: Model reduction for the sine-Gordon equation
Jean-Guy Caputo, Denys Dutykh
Article201410 citations
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Transport in simple networks described by an integrable discrete nonlinear Schrödinger equation
Katsuhiro Nakamura, Z. A. Sobirov, D. U. Matrasulov +1
ArticleNonlinear Photonic SystemsPhysical Review E20119 citations
ABI
Untitled
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ABI
Discrete Transparent Boundary Conditions for Wide Angle Parabolic Equations in Underwater Acoustics
Anton Arnold, Matthias Ehrhardt
Article19988 citations
ABI
Absorbing Boundary Conditions for Solving N-Dimensional Stationary Schrödinger Equations with Unbounded Potentials and Nonlinearities
Pauline Klein, Xavier Antoine, Christophe Besse +1
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ABI
Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability
Anton Arnold, Matthias Ehrhardt, Ivan Sofronov
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ABI