Symmetries and exact solutions to a nonlinear doubly dispersive equation with dissipation

被引：0

作者：

Gursky, VV ^{[1
]}

Samsonov, AM ^{[1
]}

机构：

[1] Russian Acad Sci, AF Ioffe Phys Tech Inst, St Petersburg 194021, Russia

来源：

DAY ON DIFFRACTION 2001, PROCEEDINGS | 2001年

关键词：

D O I：

10.1109/DD.2001.988463

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Nonclassical Lie symmetries of a nonlinear doubly dispersive and dissipative equation are studied. The equation appears in modelling the nonlinear longitudinal density wave propagation in an elastic rod embedded into an external dissipative medium. Using the symmetries, new exact invariant solutions are found. The comparison of the nonclassical symmetry method with various ad hoe methods of finding exact solutions is considered.

引用

页码：107 / 115

页数：9

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