O(N)symmetric extension of the sine-Gordon equation

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An O(N) symmetric extension of the Sine-Gordon Equation

Fred Cooper, 2, ∗ Pasquale Sodano, † Andrea Trombettoni, ‡ and Alan Chodos § T-8, Theoretical Division, MS B285, Los Alamos National Laboratory, Los Alamos NM 87545 National Science Foundation, Arlington, VA 22230 3 Dipartimento di Fisica e Sezione I.N.F.N., Universita di Perugia ,Via A. Pascoli I-06123, Perugia, Italy. 4 Dipartimento di Fisica e Sezione I.N.F.N., Universita di Perugia, Via A. ...

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generalized solution of sine-gordon equation

in this paper, we are interested to study the sine-gordon equation in generalized functions theory introduced by colombeau, in the first we give result of existence and uniqueness of generalized solution with initial data are distributions (elements of the colombeau algebra). then we study the association concept with the classical solution.

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ژورنال

عنوان ژورنال: Physical Review D

سال: 2003

ISSN: 0556-2821,1089-4918

DOI: 10.1103/physrevd.68.045011