Monday, 1 March 2010

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 89-451
Full Name: Maria Luz gandarias
Position: Professor
Age: ON
Sex: Female
Address: Dpto. Matematicas Facultad de Ciencias 11510 Puerto Real Cadiz
Country: SPAIN
Tel: 34956016306
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E-mail address: marialuz.gandarias@uca.es
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Title of the Paper: Exact solutions through symmetry reductions for a new integrable equation
Authors as they appear in the Paper: Maria Luz Gandarias, Maria Santos Bruzon
Email addresses of all the authors: marialuz.gandarias@uca.es,matematicas.casem@uca.es
Number of paper pages: 10
Abstract: In this work we study a new completely integrable equation from the point of view of the theory of symmetry reductions in partial differential equations. This equation has been proposed by Qiao and Liu in \cite{qiao} and it possesses peak solitons. We obtain the classical symmetries and the classical symmetries of the associated potential system admitted, then, we use the transformations groups to reduce the equations to ordinary differential equations. Physical interpretation of these reductions and some exact solutions are also provided. Among them we obtain a travelling wave with decaying velocity and an smooth soliton solution
Keywords: Symmetries, partial differential equation, exact solutions
EXTENSION of the file: .pdf
Special (Invited) Session: Symmetry reductions and travelling wave solutions for a new integrable equation
Organizer of the Session: 629-419
How Did you learn about congress: Mariano Torrisi torrisi@dmi.unict.it, Elena Medina elena.medina@uca.es
IP ADDRESS: 88.19.181.136