Results 21 to 30 of about 2,518 (143)
Mathematics, 2023 A (3+1)-dimensional generalized Yu–Toda–Sasa–Fukuyama equation is considered systematically. N-soliton solutions are obtained using Hirota’s bilinear method.
Jian Zhang +3 more
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Stability of Quantum Breathers [PDF]
Physical Review Letters, 2006 Using two methods we show that a quantized discrete breather in a 1-D lattice is stable. One method uses path integrals and compares correlations for a (linear) local mode with those of the quantum breather. The other takes a local mode as the zeroth order system relative to which numerical, cutoff-insensitive diagonalization of the Hamiltonian is ...
Schulman, L. S. +2 more
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Dimensional changes in maxillary sinus of mouth breathers
Journal of Oral Biology and Craniofacial Research, 2013 Aims: Nose being the primary mode of air intake in humans can be obstructed in certain conditions and mouth takes over the process of breathing. As a result, there is a reduced or complete loss of function of nose, which shows underdevelopment or stunted
Tripti Tikku +4 more
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Nonintegrable Schrödinger discrete breathers [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2004 In an extensive numerical investigation of nonintegrable translational motion of discrete breathers in nonlinear Schrödinger lattices, we have used a regularized Newton algorithm to continue these solutions from the limit of the integrable Ablowitz–Ladik lattice.
Gómez-Gardeñes, J. +3 more
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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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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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Optomechanical Akhmediev Breathers
Laser & Photonics Reviews, 2018 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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Some Breathers and Multi-breathers for FPU-Type Chains [PDF]
Communications in Mathematical Physics, 2019 We consider several breather solutions for FPU-type chains that have been found numerically. Using computer-assisted techniques, we prove that there exist true solutions nearby, and in some cases, we determine whether or not the solution is spectrally stable. Symmetry properties are considered as well. In addition, we construct solutions that are close
Arioli G., Koch H.
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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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