Results 41 to 50 of about 34,063 (197)
, 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
semanticscholar +1 more source
T T ¯ $$ T\overline{T} $$ deformations of non-relativistic models
Journal of High Energy Physics, 2021 The light-cone gauge approach to T T ¯ $$ T\overline{T} $$ deformed models is used to derive the T T ¯ $$ T\overline{T} $$ deformed matrix nonlinear Schrödinger equation, the Landau-Lifshitz equation, and the Gardner equation.
Chantelle Esper, Sergey Frolov
doaj +1 more source
Global existence and compact attractors for the discrete nonlinear Schrödinger equation [PDF]
, 1965 We study the asymptotic behavior of solutions of discrete nonlinear Schrödinger-type (DNLS) equations. For a conservative system, we consider the global in time solvability and the question of existence of standing wave solutions.
Karachalios, Nikos I. +1 more
core +1 more source
Growth of Sobolev norms for the quintic NLS on $\mathbb T^2$
, 2014 We study the quintic Non Linear Schr\"odinger equation on a two dimensional torus and exhibit orbits whose Sobolev norms grow with time. The main point is to reduce to a sufficiently simple toy model, similar in many ways to the one used in the case of ...
Haus, Emanuele, Procesi, Michela
core +1 more source
Plasma, 2022 In physical reality, the phenomena of plasma physics is actually a three-dimensional one. On the other hand, a vast majority of theoretical studies only analyze a one-dimensional prototype of the situation.
Shatadru Chaudhuri +2 more
doaj +1 more source
Results in Physics, 2022 The perturbed nonlinear Schrödinger (NLS) equation and the nonlinear radial dislocations model in microtubules (MTs) are the underlying frameworks to simulate the dynamic features of solitons in optical fibers and the functional aspects of microtubule ...
M. Ali Akbar +8 more
doaj +1 more source
Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities [PDF]
, 2017 A nonlinear Schr\"odinger equation (NLS) with dispersion averaged nonlinearity of saturated type is considered. Such a nonlocal NLS is of integro-differential type and it arises naturally in modeling fiber-optics communication systems with periodically ...
Hundertmark, Dirk +3 more
core +3 more sources
Lagrange form of the nonlinear Schrödinger equation for low-vorticity waves in deep water [PDF]
Nonlinear Processes in Geophysics, 2017 The nonlinear Schrödinger (NLS) equation describing the propagation of weakly rotational wave packets in an infinitely deep fluid in Lagrangian coordinates has been derived.
A. Abrashkin +2 more
doaj +1 more source
On the cubic NLS on 3D compact domains
, 2013 We prove bilinear estimates for the Schr\"odinger equation on 3D domains, with Dirichlet boundary conditions. On non-trapping domains, they match the $\mathbb{R}^3$ case, while on bounded domains they match the generic boundary less manifold case.
Planchon, Fabrice
core +3 more sources
Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.ABSTRACT We investigate the existence and spectral stability of traveling wave solutions for a class of fourth‐order semilinear wave equations, commonly referred to as beam equations. Using variational methods based on a constrained maximization problem, we establish the existence of smooth, exponentially decaying traveling wave profiles for wavespeeds
Vishnu Iyer +2 more
wiley +1 more source