Noncommutative solutions of the d'alembert equation

被引：0
|
作者：
Lisitsyn Ya.V. [1 ]
Shapovalov A.V. [1 ]
机构：
来源：
Russian Physics Journal | 1998年 / 41卷 / 6期
关键词：
Basis Function; Complete System; Linear Differential Equation; Symmetry Algebra; Dilation Operator;
D O I：
10.1007/BF02510610
中图分类号：
学科分类号：
摘要：
All the subalgebras of first-order symmetry operators for the d'Alembert equation, generating the bases of solutions in the method of noncommutative integration of linear differential equations, which cannot be constructed in the method of separation of variables, are found. These bases themselves are then given in explicit form. The complete systems of solutions of the d'Alembert equation, determined by noncommutative sets of first-order symmetry operators, are thereby classified. © 1999 Kluwer Academic/Plenum Publishers.
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页码：528 / 533
页数：5
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