Abstract
Multisoliton solutions of the modified Korteweg-de Vries-sine-Gordon equation (mKdV-SG) are found numerically by applying the quasi-spectral Fourier method and the fourth-order Runge-Kutta method. The accuracy and features of the approach are determined as applied to problems with initial data in the form of various combinations of perturbed soliton distributions. Three-soliton solutions are obtained, and the generation of kinks, breathers, wobblers, perturbed kinks, and nonlinear oscillatory waves is studied.
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Original Russian Text © S.P. Popov, 2015, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2015, Vol. 55, No. 3, pp. 435–445.
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Popov, S.P. Numerical analysis of soliton solutions of the modified Korteweg-de Vries-sine-Gordon equation. Comput. Math. and Math. Phys. 55, 437–446 (2015). https://doi.org/10.1134/S0965542515030136
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DOI: https://doi.org/10.1134/S0965542515030136