Works cited by this work

69 works

Work: Transparent boundary conditions for the sine-Gordon equation: Modeling the reflectionless propagation of kink solitons on a line

Untitled
Other1117 citations
ABI
Transparent quantum graphs
Jambul Yusupov, K.K. Sabirov, Matthias Ehrhardt +1
ArticleSpectral Theory in Mathematical PhysicsPhysics Letters A201920 citations
ABI
Transparent nonlinear networks
Jambul Yusupov, K.K. Sabirov, Matthias Ehrhardt +1
ArticleNonlinear Photonic SystemsPhysical review. E201916 citations
ABI
Sine-Gordon solitons in networks: Scattering and transmission at vertices
Zarif Sobirov, Doniyor Babajanov, Davron Matrasulov +2
Article201615 citations
ABI
Exciton dynamics in branched conducting polymers: Quantum graphs based approach
Jambul Yusupov, Kh. Sh. Matyokubov, K.K. Sabirov +1
ArticleQuantum optics and atomic interactionsChemical Physics202013 citations
ABI
Untitled
Other13 citations
ABI
Solitons, Nonlinear Evolution Equations and Inverse Scattering
M. A. Ablowitz, Peter A. Clarkson
Book199113 citations
ABI
Untitled
Other13 citations
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
Branched Josephson junctions: Current carrying solitons in external magnetic fields
D. U. Matrasulov, K.K. Sabirov, D. Babajanov +1
ArticleNonlinear Photonic SystemsEurophysics Letters (EPL)202012 citations
ABI
Physics and Applications of the Josephson Effect
Antonio Barone, G. Paternò
Book19829 citations
ABI
Dirac particles in transparent quantum graphs: Tunable transport of relativistic quasiparticles in branched structures
Jambul Yusupov, K.K. Sabirov, Q. U. Asadov +2
ArticleTopological Materials and PhenomenaPhysical review. E20208 citations
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
Article20118 citations
ABI
Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability
Anton Arnold, Matthias Ehrhardt, Ivan Sofronov
Article20038 citations
ABI
Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential
Xavier Antoine, Christophe Besse, Pauline Klein
Article20088 citations
ABI
Discrete Transparent Boundary Conditions for GeneralSchrödinger‐type Equations
Matthias Ehrhardt
Article19987 citations
ABI
Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations
Xavier Antoine, Christophe Besse, Stéphane Descombes
Article20067 citations
ABI
Fast evaluation of nonreflecting boundary conditions for the Schrödinger equation in one dimension
Shidong Jiang, Leslie Greengard
Article20047 citations
ABI
Reflectionless propagation of Manakov solitons on a line: A model based on the concept of transparent boundary conditions
K.K. Sabirov, Jambul Yusupov, Мерсаид Арипов +2
ArticleNonlinear Photonic SystemsPhysical review. E20217 citations
ABI
Discrete artificial boundary conditions for nonlinear Schrödinger equations
Andrea Zisowsky, Matthias Ehrhardt
Article20076 citations
ABI
Absorbing boundary conditions for relativistic quantum mechanics equations
Xavier Antoine, Emmanuel Lorin, J. Sater +2
Article20146 citations
ABI
Discrete transparent boundary conditions for Schrödinger-type equations for non-compactly supported initial data
Matthias Ehrhardt
Article20076 citations
ABI