A reduction procedure for determining exact solutions of second order hyperbolic equations

被引：1

作者：

Manganaro, Natale ^{[1
]}

Rizzo, Alessandra ^{[1
]}

机构：

[1] Univ Messina, Dept Math Comp Phys & Earth Sci, MIFT, V le F Stagno Alcontres 31, I-98166 Messina, Italy

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2024年 / 138卷

关键词：

Second order hyperbolic equations; Intermediate integrals; Exact solutions; EVOLUTION-EQUATIONS;

D O I：

10.1016/j.cnsns.2024.108240

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we develop a systematic reduction procedure for determining intermediate integrals of second order hyperbolic equations so that exact solutions of the second order PDEs under interest can be obtained by solving first order PDEs. We give some conditions in order that such a procedure holds and, in particular, we characterize classes of linear second order hyperbolic equations for which the general solution can be found.

引用

页数：12

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