A criterion for the existence of soliton solutions of telegraph equation

T.Sh. Kal’menov; G.D. Arepova

doi:10.31489/2018m3/45-52

A criterion for the existence of soliton solutions of telegraph equation

Authors

T.Sh. Kal’menov
G.D. Arepova

DOI:

https://doi.org/10.31489/2018m3/45-52

Keywords:

telegraph equation, telegraph potential, fundamental solution, soliton solution, nonlocal boundary conditions, convolution

Abstract

In this paper we consider a telegraph equation. In the case of a rectangular domain for the Cauchy potential the lateral boundary conditions obtained. When considering the equation in the first quadrant a criterion for the existence of soliton solutions is obtained.

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Published

2018-09-29

How to Cite

Kal’menov, T., & Arepova, G. (2018). A criterion for the existence of soliton solutions of telegraph equation. Bulletin of the Karaganda University. Mathematics Series, 91(3), 45–52. https://doi.org/10.31489/2018m3/45-52