Bistability in the sine-Gordon equation: The ideal switch
نویسندگان
چکیده
منابع مشابه
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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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...
متن کاملgeneralized 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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As 71 is varied over the range ~ < ~/< ~c, this potential exhibits a variety of structures. Although in later sections we shall discuss these different structures in some detail [2], it is important here to provide a qualitative feeling for them. Clearly, for ~ _+ oo, 'V(~) reduces to a sine-Gordon [SG] form for q~, while for 71 = 0, it leads to a SG form for q~/2. Thus in both these limits the...
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The focal point of this paper is a nonlinear model which describes localized magnetohydrodynamic modes in reversed-field pinch experiments. To date, nearly all experimental and theoretical work in this area have relied on the use of Fourier decomposition of spatial variations as a function of time. Moreover, due to the complexity of this nonlinear problem, previous work is restricted to the ana...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2005
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.71.056620