Factorization method for some inhomogeneous Liénard equations



Document title: Factorization method for some inhomogeneous Liénard equations
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000447172
ISSN: 0035-001X
Authors: 1
2
3
1
Institutions: 1Universidad Autónoma de Querétaro, Facultad de Ingeniería, Querétaro. México
2Embry-Riddle Aeronautical University, Daytona Beach, Florida. Estados Unidos de América
3Instituto Potosino de Investigación Científica y Tecnológica, San Luis Potosí. México
Year:
Season: May-Jun
Volumen: 67
Number: 3
Pages: 442-446
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract We obtain closed-form solutions of several inhomogeneous Liénard equations by the factorization method. The two factorization conditions involved in the method are turned into a system of first-order differential equations containing the forcing term. In this way, one can find the forcing terms that lead to integrable cases. Because of the reduction of order feature of factorization, the solutions are simultaneously solutions of first-order differential equations with polynomial nonlinearities. The illustrative examples of Liénard solutions obtained in this way generically have rational parts, and consequently display singularities
Disciplines: Física y astronomía
Keyword: Física,
Factorización,
No homogéneo,
Ecuación de Liénard,
Ecuación de Abel,
Ecuación de Riccati
Keyword: Physics,
Factorization,
Inhomogeneous,
Lienard equation,
Abel equation,
Riccati equation
Full text: Texto completo (Ver HTML) Texto completo (Ver PDF)