Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems

被引：24

作者：

Baran, H. ^{[1
]}

Krasil'shchik, I. S. ^{[1
]}

Morozov, O. I. ^{[2
]}

Vojcak, P. ^{[1
]}

机构：

[1] Silesian Univ Opava, Math Inst, Opava 74601, Czech Republic

[2] AGH Univ Sci & Technol, Fac Appl Math, PL-30059 Krakow, Poland

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2014年 / 21卷 / 04期

关键词：

Partial differential equations; symmetry reductions; solutions; 35B06; EQUATION;

D O I：

10.1080/14029251.2014.975532

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a complete description of 2-dimensional equations that arise as symmetry reductions of four 3- dimensional Lax-integrable equations: (1) the universal hierarchy equation u(yy) = u(z)u(xy)- u(y)u(xz); (2) the 3D rdDym equation u(ty) = u(x)u(xy)- u(y)u(xx); (3) the equation u(ty) = u(t)u(xy)- u(y)u(tx), which we call modified Veronese web equation; (4) Pavlov's equation u(yy) = u(tx) + u(y)u(xx)- u(x)u(xy).

引用

页码：643 / 671

页数：29

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