Results 41 to 50 of about 32,605 (214)
Rogue waves in the two dimensional nonlocal nonlinear Schrödinger equation and nonlocal Klein-Gordon equation. [PDF]
PLoS ONE, 2018 In this paper, we investigate two types of nonlocal soliton equations with the parity-time (PT) symmetry, namely, a two dimensional nonlocal nonlinear Schrödinger (NLS) equation and a coupled nonlocal Klein-Gordon equation.
Wei Liu, Jing Zhang, Xiliang Li
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Instability of Double-Periodic Waves in the Nonlinear Schrödinger Equation
Frontiers in Physics, 2021 It is shown how to compute the instability rates for the double-periodic solutions to the cubic NLS (nonlinear Schrödinger) equation by using the Lax linear equations.
Dmitry E. Pelinovsky
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Journal of Applied Mathematics, 2014 The coupled nonlinear Schrödinger (NLS) equations describing power and phase of the optical waves are used to model phase-sensitive (PS) parametric amplification in a width-modulated silicon-on-insulator (SOI) channel waveguide.
Xuefeng Li, Zhaolu Wang, Hongjun Liu
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Dispersive Properties of Schrödinger Equations [PDF]
, 2005 This thesis mainly concerns the dispersive properties of Schrodinger equations with certain potentials, and some of their consequences. First, we consider the charge transfer models in Rn with n > 2. In this case, the potential is a sum of several
Cai, Kaihua
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Nonlinear Schrödinger equations and the universal description of dispersive shock wave structure [PDF]
Studies in applied mathematics (Cambridge), 2018 The nonlinear Schrödinger (NLS) equation and the Whitham modulation equations both describe slowly varying, locally periodic nonlinear wavetrains, albeit in differing amplitude‐frequency domains.
T. Congy +5 more
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Completely integrable nonlinear Schrödinger type equations on moving space curves [PDF]
, 1997 Using the Lamb formalism, we show that some completely integrable homogeneous and inhomogeneous nonlinear Schrödinger (NLS) type equations such as derivative NLS, extended NLS, higher-order NLS, inhomogeneous NLS, circularly and radially symmetric NLS ...
Porsezian, K.
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T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ -deformed nonlinear Schrödinger
Journal of High Energy Physics, 2021 The T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ -deformed classical Lagrangian of a 2D Lorentz invariant theory can be derived from the original one, perturbed only at first order by the bare T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ composite field ...
Paolo Ceschin +2 more
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Exact Solutions to a Class of Schamel Nonlinear Equations Modeling Dust Ion-acoustic Waves in Plasma [PDF]
Assiut University Journal of Multidisciplinary Scientific Research, 2022 In this paper, we apply the extended Kudryashov method to construct some new exact solitary wave solutions of three important physical models, Schamel-nonlinear Schrödinger (S-NLS) equation, Schamel Korteweg-de Vries (S-KdV) equation, Schamel Korteweg-de
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, 2019 An integrable three-component coupled nonlinear Schrodinger (NLS) equation is considered in this work. We present the scattering and inverse scattering problems of the three-component coupled NLS equation by using the Riemann-Hilbert formulation ...
Wei-Qi Peng +4 more
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Global well-posedness of 2D non-focusing Schrödinger equations via rigorous modulation approximation [PDF]
, 2016 We consider the long time well-posedness of the Cauchy problem with large Sobolev data for a class of nonlinear Schrödinger equations (NLS) on R2 with power nonlinearities of arbitrary odd degree.
Totz, Nathan
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