Geodesic
Nonlinear dynamics of a~quasi-one-dimensional helicoidal structure
Teoretičeskaâ i matematičeskaâ fizika, Tome 173 (2012) no. 2, pp. 268-292

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We analytically describe solitons and spin waves in the helicoidal structure of magnets without an inversion center using the “dressing” method in the framework of the sine-Gordon model. Analyzing the nonlinear dynamics of spin waves in the helicoidal-structure background reduces to solving linear integral equations on a Riemann surface generated by the superstructure. We obtain spectral expansions of integrals of motion with the soliton and spin-wave contributions separated.
Keywords: helicoidal structure, Riemann problem, kink, breather.
Mots-clés : sine-Gordon equation 
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     author = {V. V. Kiselev and A. A. Raskovalov},
     title = {Nonlinear dynamics of a~quasi-one-dimensional helicoidal structure},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2012_173_2_a5/}
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V. V. Kiselev; A. A. Raskovalov. Nonlinear dynamics of a~quasi-one-dimensional helicoidal structure. Teoretičeskaâ i matematičeskaâ fizika, Tome 173 (2012) no. 2, pp. 268-292. http://geodesic.mathdoc.fr/item/TMF_2012_173_2_a5/