(2+1)-dimensional models with Virasoro-type symmetry algebra

1995 ◽  
Vol 28 (6) ◽  
pp. L191-L196 ◽  
Author(s):  
Sen-Yue Lou ◽  
Jun Yu ◽  
Ji Lin
Keyword(s):  
Symmetry Algebra ◽  
Type Symmetry ◽  
Dimensional Models ◽  
Virasoro Type

scholarly journals New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Lizhen Wang ◽  
Qing Huang ◽  
Yanmei Di
Keyword(s):  
Nonlinear Systems ◽  
Symmetry Algebra ◽  
Coupled Systems ◽  
Model Systems ◽  
Invariant Solutions ◽  
Group Invariant ◽  
Two Component ◽  
Type Symmetry ◽  
Group Invariant Solutions ◽  
Virasoro Type

With the aid of symbolic computation by Maple, we extend the application of Virasoro-type symmetry prolongation method to coupled systems with two-component nonlinear equations. New nonlinear systems admitting infinitely dimensional centerless Virasoro-type symmetry algebra are constructed. Taking one of them as an example, we present some group-invariant solutions to one of the new model systems.

(3+l)-Dimensional Integrable Models with Infinitely Dimensional Virasoro Type Symmetry Algebra and the Painleve Property

2000 ◽  
Vol 55 (6-7) ◽  
pp. 589-594 ◽  
Author(s):  
Ji Lina ◽  
Ji Lina ◽  
Ji Lina ◽  
Sen-yue Loub ◽  
Kelin Wang
Keyword(s):  
Symmetry Algebra ◽  
Integrable Models ◽  
Painlevé Property ◽  
Type Symmetry ◽  
Virasoro Type

In this paper, some Virasoro integrable models are obtained by means of the realizations of the generalized centerless Virasoro-type symmetry algebra, [σj(̅ƒ1), σ(̅ƒ2)] = σ(̅ƒ2̅ƒ1 - ̅ƒ1ƒ2 ) - It is interesting that some of them may be not only Virasoro integrable but also Painleve integrable.

scholarly journals (3+1)-DIMENSIONAL MODELS WITH INFINITELY DIMENSIONAL VIRASORO TYPE SYMMETRY ALGBRA

1996 ◽  
Vol 45 (7) ◽  
pp. 1073
Author(s):  
LIN JI ◽  
YU JUN ◽  
LOU SEN-YUE
Keyword(s):  
Type Symmetry ◽  
Dimensional Models ◽  
Virasoro Type

Classical Lie symmetries and similarity reductions of the (2 + 1)-dimensional dispersive long wave system

2020 ◽  
pp. 2150052
Author(s):  
Preeti Devi ◽  
K. Singh
Keyword(s):  
Wave Equation ◽  
Symmetry Algebra ◽  
Lie Symmetry ◽  
Lie Symmetries ◽  
Wave System ◽  
Lie Symmetry Method ◽  
Long Wave ◽  
Virasoro Type ◽  
Symmetry Method ◽  
Similarity Reductions

In the present work, classical Lie symmetry method is adopted to obtain the Lie symmetries and similarity reductions of the (2 + 1)-dimensional dispersive long wave equation. We also demonstrate that the symmetry algebra of this equation is an infinte dimensional, together with Kac–Moody–Virasoro type subalgebras.

Plastic replicas as three-dimensional models of pulps

1975 ◽  
Vol 39 (8) ◽  
pp. 544-546
Author(s):  
HL Wakkerman ◽  
GS The ◽  
AJ Spanauf
Keyword(s):  
Three Dimensional ◽  
Dimensional Models ◽  
Three Dimensional Models
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