Linearized KdV equation on a metric graph
https://doi.org/10.17586/2220-8054-2015-6-6-757-761
Abstract
We address a linearized KdV equation on metric star graphs with one incoming finite bond and two outgoing semi-infinite bonds. Using the theory of potentials, we reduce the problem to systems of linear integral equations and show that they are uniquely solvable under conditions of the uniqueness theorem.
About the Authors
Z. A. Sobirov
Faculty of Mechanics and Mathematics, National University of Uzbekistan ; Applied Mathematics Department of Tashkent Financial Institute
Uzbekistan
Uzbekistan
Vuzgorodok, 100047 Tashkent
100000 Tashkent
M. I. Akhmedov
Applied Mathematics Department of Tashkent Financial Institute
Uzbekistan
Uzbekistan
100000 Tashkent
O. V. Karpova
Faculty of Physics, National University of Uzbekistan ; Turin Polytechnic University in Tashkent
Uzbekistan
Uzbekistan
Vuzgorodok, 100047 Tashkent
B. Jabbarova
Urganch State University
Uzbekistan
Uzbekistan
Urganch
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Review
For citations:
Sobirov Z.A., Akhmedov M.I., Karpova O.V., Jabbarova B. Linearized KdV equation on a metric graph. Nanosystems: Physics, Chemistry, Mathematics. 2015;6(6):757-761. https://doi.org/10.17586/2220-8054-2015-6-6-757-761
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