Article

Linearized KdV equation on a metric graph

Z. A. SobirovApplied Mathematics Department of Tashkent Financial Institute, 100000 Tashkent, UzbekistanMaqsad. I. AkhmedovApplied Mathematics Department of Tashkent Financial Institute, 100000 Tashkent, UzbekistanO.V. KarpovaFaculty of Physics, National University of Uzbekistan, Vuzgorodok, 100047 Tashkent, UzbekistanB. O. JabbarovaUrganch State University, Urganch, Uzbekistan

Nanosystems Physics Chemistry Mathematicsjournal2015en

ABI

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.

Topics

Advanced Mathematical Physics Problems Ultra-Wideband Communications Technology Nonlinear Waves and Solitons

Identifiers

DOI: 10.17586/2220-8054-2015-6-6-757-761

Citations and references

Cited by 3 10 references

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