The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 42-382
Full Name: Imran Naeem
Position: Assistant Professor
Age: ON
Sex: Male
Address: Department of Mathematics, LUMS, DHA, Lahore
Country: PAKISTAN
Tel: 0092-3315439809
Tel prefix:
Fax:
E-mail address: imran.naeem@lums.edu.pk
Other E-mails: inqau@yahoo.com
Title of the Paper: First Integrals for systems via complex partial Lagrangians
Authors as they appear in the Paper: imran naeem, fazal mahomed, rehana naz
Email addresses of all the authors: imran.naeem@lums.edu.pk, Fazal.Mahomed@wits.ac.za, drrehana@lahoreschool.edu.pk
Number of paper pages: 12
Abstract: The partial Noether operators and partial Euler-Lagrange equations are developed for a system of kth-order ordinary differential equations (ODEs) in the complex domain with the help of complex partial Lagrangians. A complex partial Noether theorem is deduced and the formula which provides the complex first integral is equivalent to the complex Noether integral. These complex partial Noether operators, in general, are not complex symmetries of systems of complex ODEs and they are not closed. The theorems are provided which give the condition of closure and when they become complex symmetry generators is also stated. The results obtained in the complex domain are decomposed into the real domain for system of m second-order complex ODEs with m dependent variables.
Keywords: Euler operator, Total derivative, Gauge term, Partial Noether operators, CR equations, First integrals, Partial Lagrangian
EXTENSION of the file: .pdf
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