Bergische Universität Wuppertal
Fachbereich Mathematik und Naturwissenschaften
Applied and Computational Mathematics (ACM)
Team
Research
Publications
Teaching
Publications "Numerical Solution of PDEs on Metric Graphs"
Summary
Text
References
J.R. Yusupov, Kh.Sh. Matyokubov, M. Ehrhardt and D.U. Matrasulov,
Manakov system on metric graphs: Modeling the reflectionless propagation of vector solitons in networks
, Preprint 22/12, May 2022.
M.E. Akramov, J.R. Yusupov, M. Ehrhardt, H. Susanto and D.U. Matrasulov,
Transparent boundary conditions for the nonlocal nonlinear Schrödinger equation: A model for reflectionless propagation of PT-symmetric solitons
, Physics Letters A, Volume 459, January 2023, 128611. DOI: 10.1016/j.physleta.2022.128611.
K.K. Sabirov, J.R. Yusupov, M. Ehrhardt and D.U. Matrasulov,
Transparent boundary conditions for the sine-Gordon equation: Modeling the reflectionless propagation of kink solitons on a line
, Physics Letters A, Vol. 423 (2022), 127822. DOI: 10.1016/j.physleta.2021.127822.
K.K. Sabirov, J.R. Yusupov, M.M. Aripov, M. Ehrhardt and D.U. Matrasulov,
Reflectionless propagation of Manakov solitons on a line: A model based on the concept of transparent boundary conditions
, Physical Review E, Vol. 103, No. 4 (2021), 043305. DOI: 10.1103/PhysRevE.103.043305
J.R. Yusupov, K.K. Sabirov, Q.U. Asadov, M. Ehrhardt and D.U. Matrasulov,
Dirac Particles in Transparent Quantum Graphs: Tunable transport of relativistic quasiparticles in branched structures
, Physical Review E, Volume 101, Number 6 (June 2020), 062208. DOI: 10.1103/PhysRevE.101.062208
J.R. Yusupov, K.K. Sabirov, M. Ehrhardt and D.U. Matrasulov,
Transparent nonlinear networks
, Physical Review E, Vol. 100, No. 3 (September 2019), 032204. DOI: 10.1103/PhysRevE.100.032204
J.R. Yusupov, K.K. Sabirov, M. Ehrhardt and D.U. Matrasulov,
Transparent Quantum Graphs
, Physics Letters A, Volume 383, Issue 20 (July 2019), 2382-2388. DOI:10.1016/j.physleta.2019.04.059
Talks related to the Project
Name,
September 2023.
University of Wuppertal
Faculty of Mathematics and Natural Sciences
Department of Mathematics
Applied Mathematics & Numerical Analysis Group
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ehrhardt@math.uni-wuppertal.de