Exact Solutions of the Sine-Gordon Equation with Periodic Boundary Conditions
نویسندگان
چکیده
منابع مشابه
Exact solutions to the sine-Gordon equation
A systematic method is presented to provide various equivalent solution formulas for exact solutions to the sine-Gordon equation. Such solutions are analytic in the spatial variable x and the temporal variable t, and they are exponentially asymptotic to integer multiples of 2π as x → ±∞. The solution formulas are expressed explicitly in terms of a real triplet of constant matrices. The method p...
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where φ is the magnetic flux distribution, he – the external magnetic field, γ – the external current and α ≥ 0 – the dissipation coefficient. Accounting of the second harmonic in the Fourierdecomposition of the Josephson current yealds the double sine-Gordon equation. The effect of the second harmonic contribution on the properties of magnetic flux in the long JJ model was numerically investig...
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With the help of computer symbolic computation software e.g., Maple , abundant interaction solutions of sine-Gordon equation are obtained by means of a constructed Wronskian form expansion method. The method is based upon the forms and structures of Wronskian solutions of sine-Gordon equation, and the functions used in the Wronskian determinants do not satisfy linear partial differential equati...
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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: Progress of Theoretical Physics
سال: 1987
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.77.813