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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Rational solitons of wave resonant-interaction models [PDF]
, 2013 Integrable models of resonant interaction of two or more waves in 1+1 dimensions are known to be of applicative interest in several areas. Here we consider a system of three coupled wave equations which includes as special cases the vector nonlinear ...
Degasperis, Antonio +2 more
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Unconditional uniqueness of higher order nonlinear Schrödinger equations [PDF]
, 2021 summary:We show the existence of weak solutions in the extended sense of the Cauchy problem for the cubic fourth order nonlinear Schrödinger equation with the initial data $u_{0}\in X$, where $X\in \{M_{2,q}^{s}(\mathbb {R}), H^{\sigma }(\mathbb {T}), H^{
Klaus, Friedrich +2 more
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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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Nongauge bright soliton of the nonlinear Schrödinger (NLS) equation and a family of generalized NLS equations [PDF]
, 2016 "We present an approach to the bright soliton solution of the nonlinear Schrödinger (NLS) equation from the standpoint of introducing a constant potential term in the equation.
Marco A. Reyes +7 more
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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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Spectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schrödinger equations [PDF]
, 2012 Includes abstract.Includes bibliographical references.In this thesis we develop and employ a spectral continuation algorithm, implemented in AUTO, to study the temporally periodic spatially localised soliton solutions of the driven, damped nonlinear ...
Lee-Thorpe, James
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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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Remarks on the Gibbs measures for nonlinear dispersive equations [PDF]
, 2018 International audienceWe show, by the means of several examples, how we can use Gibbs measures to construct global solutions to dispersive equations at low regularity.
Nicolas Burq +5 more
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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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