A criterion for the existence of soliton solutions of telegraph equation

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.

Bibliographic Details
Published in:Қарағанды университетінің хабаршысы. Математика сериясы
Main Authors: T.Sh. Kal’menov, G.D. Arepova
Format: Article
Language:English
Published: Academician Ye.A. Buketov Karaganda University 2018-09-01
Subjects:
telegraph equation
telegraph potential
fundamental solution
soliton solution
nonlocal boundary conditions
convolution
Online Access:http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/240

Internet

http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/240

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