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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 3, Pages 435–445
DOI: https://doi.org/10.7868/S004446691503014X (Mi zvmmf10171) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Numerical analysis of soliton solutions of the modified Korteweg–de Vries–sine-Gordon equation

S. P. Popov

Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
Full-text PDF (513 kB) Citations (18)
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DOI: https://doi.org/10.7868/S004446691503014X
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.
Key words: mKdV equation, SG equation, mKdV-SG equation, SGmKdV equation, SPE equation, kink, antikink, breather, wobbler, soliton, multisoliton interaction.
Received: 15.05.2014
Revised: 15.10.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 3, Pages 437–446
DOI: https://doi.org/10.1134/S0965542515030136
Bibliographic databases:
Document Type: Article
UDC: 519.634
MSC: 65M70
Language: Russian
Citation: S. P. Popov, “Numerical analysis of soliton solutions of the modified Korteweg–de Vries–sine-Gordon equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:3 (2015), 435–445; Comput. Math. Math. Phys., 55:3 (2015), 437–446
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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