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Nonlinear hydrodynamic phenomena in Stokes flow regime
We investigate nonlinear phenomena in dispersed two-phase systems under creeping-flow conditions. We consider nonlinear evolution of a …
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Nonlinear hydrodynamic phenomena in Stokes flow regime
Chaotic scattering in solitary wave interactions: A singular iterated-map description
We derive a family of singular iterated maps—closely related to Poincaré maps—that describe chaotic interactions between …
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Chaotic scattering in solitary wave interactions: A singular iterated-map description
Hysteretic and chaotic dynamics of viscous drops in creeping flows with rotation
We investigate nonlinear phenomena in dispersed two-phase systems under creeping-flow conditions. We consider nonlinear evolution of a …
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Hysteretic and chaotic dynamics of viscous drops in creeping flows with rotation
Stability and instability of nonlinear defect states in the coupled mode equations---analytical and numerical study
Coupled backward and forward wave amplitudes of an electromagnetic field propagating in a periodic and nonlinear medium at Bragg …
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Stability and instability of nonlinear defect states in the coupled mode equations---analytical and numerical study
Chaotic Scattering and the $n$-bounce Resonance in Solitary Wave Interactions
We present a new and complete analysis of the n-bounce resonance and chaotic scattering in solitary wave collisions. In these …
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Chaotic Scattering and the $n$-bounce Resonance in Solitary Wave Interactions
Kink-antikink collisions in the $\phi^4$ equation: The $n$-bounce resonance and the separatrix map
We provide a detailed mathematical explanation of a phenomenon known as the two-bounce resonance observed in collisions between kink …
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Kink-antikink collisions in the $\phi^4$ equation: The $n$-bounce resonance and the separatrix map
Vector soliton interactions in birefringent optical fibers
We consider the interactions of two identical, orthogonally polarized vector solitons in a nonlinear optical fiber with two …
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Vector soliton interactions in birefringent optical fibers
Interaction of sine-Gordon kinks with defects: The two-bounce resonance
A model of soliton–defect interactions in the sine-Gordon equations is studied using singular perturbation theory. Melnikov …
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Interaction of sine-Gordon kinks with defects: The two-bounce resonance
Strong NLS soliton--defect interactions
We consider the interaction of a nonlinear Schrödinger soliton with a spatially localized (point) defect in the medium through which it …
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Strong NLS soliton--defect interactions
Interaction of sine-Gordon kinks with defects: phase space transport in a two-mode model
We study a model derived by Fei et al. [Phys. Rev. A 45 (1992) 6019] of a kink solution to the sine-Gordon equation interacting with an …
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Interaction of sine-Gordon kinks with defects: phase space transport in a two-mode model