Tuesday, 22 March 2011

Wseas Transactions

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Transactions: INTERNATIONAL JOURNAL of APPLIED MATHEMATICS AND INFORMATICS
Transactions ID Number: 20-593
Full Name: Maria Bruzon
Position: Doctor (Researcher)
Age: ON
Sex: Female
Address: Departamento Matematicas. Facultad Ciencias. Poligono Rio San Pedro. Puerto Real. Cadiz
Country: SPAIN
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E-mail address: m.bruzon@uca.es
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Title of the Paper: Nonlocal symmetries for a family Benjamin-Bona-Mahony-Burgers equations. Some exact solutions
Authors as they appear in the Paper: M.S. Bruzon and M.L. Gandarias
Email addresses of all the authors: m.bruzon@uca.es, marialuz.gandarias@uca.es
Number of paper pages: 8
Abstract: In this work the nonlocal symmetries of a family Benjamin-Bona-Mahony-Burgers equations are studied. The partial differential equation written as a conservation law can be transformed into an equivalent system by introducing a suitable potential. The nonlocal symmetry group generators of original partial differential equation can be obtained through their equivalent system. We have proved that the nonclassical method applied to this system leads to new symmetries, which are not solutions arising from potential symmetries of the Benjamin-Bona-Mahony-Burgers equations. We also have derived traveling wave solutions for the Benjamin-Bona-Mahony-Burgers equations by using a direct method. Among them we find a solution which describes a kink solution.
Keywords: Nonlocal symmetries, Partial differential equations, Nonlinear equations, MAXIMA Software, kink solutions
EXTENSION of the file: .pdf
Special (Invited) Session: Some travelling wave solutions for a Generalized Benjamin-Bona-Mahony-Burgers equation by using MAXIMA program
Organizer of the Session: 650-461
How Did you learn about congress: Name: Jesús Cuevas E-mail: jcuevas@us.es; Name: Mariano Torrisi E-mail: torrisi@dipmat.unict.it ; Name: Rita Tracina E-mail: tracina@dmi.unict.it ;
IP ADDRESS: 150.214.76.42