1997
DOI: 10.1070/pu1997v040n04abeh000227
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Solitons and their interactions in classical field theory

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Cited by 123 publications
(78 citation statements)
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“…(15) supports topological solitons (kinks and antikinks) [14]. When the kink width is much greater than L, the solution of Eq.…”
Section: Regime IImentioning
confidence: 99%
“…(15) supports topological solitons (kinks and antikinks) [14]. When the kink width is much greater than L, the solution of Eq.…”
Section: Regime IImentioning
confidence: 99%
“…One of the particularly interesting equations within this family is the so-called φ 4 model [5], featuring a wave equation with a cubic nonlinear (odd-power) polynomial added to it. This model has been physically argued as being of relevance in describing cosmic domain walls in cosmological settings [6], but also structural phase transitions, uniaxial ferroelectrics or even simple polymeric chains; see e.g.…”
Section: Introductionmentioning
confidence: 99%
“…In contrast to those studies, in Refs. [22,23] the fractal scattering of vector solitons in the coupled NLSE was attributed to the resonance energy exchange between the soliton's translational and internal modes, i.e., through the mechanism similar to that operating for the φ 4 kinks [5,6,7,8].…”
Section: Introductionmentioning
confidence: 99%