Generalized and potential symmetries of the Rudenko-Robsman equation

• Authors: Afrodita Boldea
• Languages of publication: EN

Abstracts

EN

The paper presents a concrete study of the existence of generalized and potential symmetries for the 1+1 dimensional version of the Rudenko-Robsman equation, an interesting fourth-order partial differential equation that describes the evolution of nonlinear waves in a dispersive medium. As the main results, the existence of a two-parameter algebra of generalized symmetries and of an infinite-dimensional algebra when potential symmetries are taken into account is proven.

Keywords

EN

generalized symmetries; potential symmetries; Rudenko-Robsman equation

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2010
• Volume: 8
• Issue: 6
• Pages: 995-1000

Dates

published

1 - 12 - 2010

online

5 - 9 - 2010

Contributors

author

Afrodita Boldea

• Department of Theoretical Physics, West University Timisoara, Timisoara, Romania

References

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Identifiers

DOI

10.2478/s11534-010-0013-0