Amplification of Wave Groups in the Forced Nonlinear Schrödinger Equation
Fluids, 2022 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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Breathers in the weakly coupled topological discrete sine-Gordon system [PDF]
, 1998 Existence of breather (spatially localized, time periodic, oscillatory) solutions of the topological discrete sine-Gordon (TDSG) system, in the regime of weak coupling, is proved.
Agarwal R P +15 more
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Asymptotic Dynamics of Breathers in Fermi-Pasta-Ulam Chains [PDF]
, 2002 We study the asymptotic dynamics of breathers in finite Fermi-Pasta-Ulam chains at zero and non-zero temperatures. While such breathers are essentially stationary and very long-lived at zero temperature, thermal fluctuations tend to lead to breather ...
A. Bikaki +21 more
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Interactions of Coherent Structures on the Surface of Deep Water
Fluids, 2019 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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Rogue Waves With Rational Profiles in Unstable Condensate and Its Solitonic Model
Frontiers in Physics, 2021 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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Surface breathers in discrete magnetic metamaterials [PDF]
, 2015 We analyze the properties of discrete breathers excited near the edge of a one-dimensional metamaterial created by a truncated array of nonlinear split-ring resonators.
Kivshar, Yuri +2 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]
Proceedings of the Estonian Academy of Sciences, 2015 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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Ion Acoustic Breathers in Electron-Beam Plasma
Plasma, 2023 The nonlinear excitations of ion acoustic (IA) structures in an electron beam embedded plasma composed of Vasyliunas–Cairns (VC) distributed hot electrons has been studied.
Manveet Kaur +3 more
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Bright and dark breathers in Fermi-Pasta-Ulam lattices [PDF]
, 2004 In this paper we study the existence and linear stability of bright and dark breathers in one-dimensional FPU lattices. On the one hand, we test the range of validity of a recent breathers existence proof [G. James, {\em C. R. Acad. Sci. Paris}, 332, Ser.
Archilla, J. F. R. +3 more
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Comparison of palatal dimension in children with obstructive and habitual mouth breathing
Journal of Indian Society of Pedodontics and Preventive DentistryBackground: 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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