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Transformation of sine-Gordon solitons in models with variable coefficients and damping

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Abstract

The dynamics of sine-Gordon solitons in the presence of an external force, damping, and a spatially modulated periodic potential is studied. Numerical methods are used to show the possibility of generating localized nonlinear waves of the soliton and breather types. Their evolution is investigated, and the dependences of the amplitude and the oscillation frequency on the parameters of the system are found.

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Authors and Affiliations

  1. Bashkir State University, ul. Zaki Validi 32, Ufa, 450076, Bashkortostan, Russia

    A. M. Gumerov, E. G. Ekomasov, R. R. Murtazin & V. N. Nazarov

  2. Institute of Physics of Molecules and Crystals, Ufa Research Center, Russian Academy of Sciences, pr. Octyabrya 151, Ufa, 450075, Russia

    V. N. Nazarov

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  1. A. M. Gumerov
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  2. E. G. Ekomasov
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  3. R. R. Murtazin
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  4. V. N. Nazarov
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Correspondence to A. M. Gumerov.

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Original Russian Text © A.M. Gumerov, E.G. Ekomasov, R.R. Murtazin, V.N. Nazarov, 2015, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2015, Vol. 55, No. 4, pp. 631–640.

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Gumerov, A.M., Ekomasov, E.G., Murtazin, R.R. et al. Transformation of sine-Gordon solitons in models with variable coefficients and damping. Comput. Math. and Math. Phys. 55, 628–637 (2015). https://doi.org/10.1134/S096554251504003X

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