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On multikink states described by the nonlocal sine-Gordon equation |
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| Institution: | 1. Higher Teachers’ Training College of Maroua, The University of Maroua, P.O. Box. 46, Cameroon;2. Department of Physics, Faculty of Science, The University of Maroua, P.O. Box 46, Cameroon;3. Department of Physics, Faculty of Science, The University of Ngaoundere, P.O. Box 454, Cameroon;4. Department of Physics, Faculty of Science, The University of Yaounde I, P.O. Box 812, Cameroon |
| Abstract: | It was found recently that nonlocal non-dissipative generalizations of the sine-Gordon model may describe coherent multikink states. In this paper the problem of classification of such nonlocal states is considered for a model kernel of the integral operator. Rigorous results concerning a number of possible forms of these multikink states are set forth and the coding for such states is suggested. The exact statements are confirmed by results of numerical analysis. |
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