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Interactions of Coherent Structures on the Surface of Deep Water
We numerically investigate pairwise collisions of solitary wave structures on the surface of deep water—breathers. These breathers are spatially localised coherent groups of surface gravity waves which propagate so that their envelopes are stable ...
Dmitry Kachulin +2 more
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Amplification of Wave Groups in the Forced Nonlinear Schrödinger Equation
In many physical contexts, notably including deep-water waves, modulation instability in one space dimension is often studied by using the nonlinear Schrödinger equation. The principal solutions of interest are solitons and breathers which are adopted as
Montri Maleewong, Roger H. J. Grimshaw
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Bounded States for Breathers–Soliton and Breathers of Sine–Gordon Equation [PDF]
Abstract The Wronskians solutions to the sine-Gordon (sG) equation that can provide interaction of different kinds of solutions are revisited. A novel expression N-soliton solution with a nonzero background is presented which is used to construct the soliton and breather solutions.
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The Akhmediev breather is unstable [PDF]
In this note, we give a rigorous proof that the NLS periodic Akhmediev breather is unstable. The proof follows the ideas in [17], in the sense that a suitable modification of the Stokes wave is the global attractor of the local Akhmediev dynamics for sufficiently large time, and therefore the latter cannot be stable in any suitable finite energy ...
Alejo M. A., Fanelli L., Munoz C.
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Comparison of palatal dimension in children with obstructive and habitual mouth breathing
Background: Prolonged mouth breathing (MB) can produce muscular and postural alterations which in turn can cause changes on the morphology, position, and growth direction of the jaws.
Soni Kottayi +5 more
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Interaction Features of Internal Wave Breathers in a Stratified Ocean
Oscillating wave packets (breathers) are a significant part of the dynamics of internal gravity waves in a stratified ocean. The formation of these waves can be provoked, in particular, by the decay of long internal tidal waves. Breather interactions can
Ekaterina Didenkulova, Efim Pelinovsky
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Rogue Waves With Rational Profiles in Unstable Condensate and Its Solitonic Model
In this brief report we study numerically the spontaneous emergence of rogue waves in 1) modulationally unstable plane wave at its long-time statistically stationary state and 2) bound-state multi-soliton solutions representing the solitonic model of ...
D. S. Agafontsev +3 more
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Advantages and limitations of the nonlinear Schrödinger equation in describing the evolution of nonlinear water-wave groups; pp. 356–360 [PDF]
The nonlinear Schrödinger (NLS) equation is a popular and relatively simple model used extensively to describe the evolution of nonlinear water-wave groups.
Lev Shemer
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Optomechanical Akhmediev Breathers
AbstractThe Akhmediev breather has attracted considerable attention over the past decades in various fields such as hydrodynamics, plasma physics, and nonlinear optics because of its wide applications and its importance in understanding nonlinear coherent phenomena.
Xiong, Hao, Wu, Ying
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UiO‐66(Zr) metal–organic frameworks are chemically stable, biocompatible, and highly tunable nanomaterials. Their modular structure enables controlled drug delivery, multimodal bioimaging, and light‐activated photodynamic therapy, supporting integrated diagnostic and therapeutic (theranostic) applications in cancer and biomedical research.
Veronika Huntošová +2 more
wiley +1 more source

