Asymptotics of the Solution of the Initial Boundary Value Problem for the One-Dimensional Klein-Gordon Equation with Variable Coefficients

被引：0

作者：

Dobrokhotov, S. Yu. ^{[1
]}

Smirnova, E. S. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Ishlinsky Inst Problems Mech, Moscow, Russia

[2] Immanuel Kant Balt Fed Univ, Kaliningrad, Russia

来源：

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2024年 / 31卷 / 02期

关键词：

WAVES;

D O I：

10.1134/S1061920824020043

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the paper, formal asymptotic solutions of the initial-boundary value problem for the one-dimensional Klein-Gordon equation with variable coefficients on the semi-axis are constructed. Such a problem can be used, in particular, to simulate the propagation of plane acoustic waves in atmospheric gas initiated by a source at the lower boundary of the domain.

引用

页码：187 / 198

页数：12

共 20 条

[1]

Alekseev A. S., 2010, Methods for Solving Direct and Inverse Problems of Seismology, Electromagnetism, and Experimental Research in Problems of Studying Geodynamic Processes in the Crust and Upper Mantle of the Earth, P310

[2] Direct and inverse problems of wave propagation through a one-dimensional inhomogeneous medium [J].

Alekseev, AS ;

Belonosov, VS .

EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 1999, 10 :79-96

[3]

Atmosphere United States Committee on Extension to the Standard., 1976, U.S. Standard Atmosphere

[4] Operator separation of variables for adiabatic problems in quantum and wave mechanics [J].

Belov, V. V. ;

Dobrokhotov, S. Yu. ;

Tudorovskiy, T. Ya. .

JOURNAL OF ENGINEERING MATHEMATICS, 2006, 55 (1-4) :183-237

[5]

Bethe H., 1973, Intermediate Quantum Mechanics

[6]

BREKHOVSKIKH LM, 1989, AKUSTIKA SLOISTYKH S

[7] Efficient asymptotics of solutions to the Cauchy problem with localized initial data for linear systems of differential and pseudodifferential equations [J].

Dobrokhotov, S. Yu ;

Nazaikinskii, V. E. ;

Shafarevich, A., I .

RUSSIAN MATHEMATICAL SURVEYS, 2021, 76 (05) :745-819

[8]

Fedoryuk M. V, 1987, ASYMPTOTICS INTEGRAL

[9] Air-sea interaction and feasibility of tsunami detection in the open ocean [J].

Godin, OA .

JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS, 2004, 109 (C5) :C050021-20

[10]

Karasv M. V., 1993, Nonlinear Poisson Brackets

← 1 2 →