Results 41 to 50 of about 47,209 (207)
Non classical interaction aspects to a nonlinear physical model
Results in Physics, 2023 This study deals the dynamics of waves to the conformable fractional (2+1)-dimensional Nizhnik–Novikov–Veselov (NNV) equations. The (2+1)-dimensional NNV equations are the isotropic Lax integrable extension of the (1+1)-dimensional Korteweg–de Vries ...
Hajar F. Ismael +5 more
doaj +1 more source
Introduction to the Hirota Bilinear Method [PDF]
, 2004 We give an elementary introduction to Hirota's direct method of constructing multisoliton solutions to integrable nonlinear evolution equations. We discuss in detail how this works for equations in the Korteweg-de Vries class. We also show how Hirota's method can be used to search for new integrable evolution equations by testing for the existence of 3-
openaire +2 more sources
Periodic waves in bimodal optical fibers
, 2003 We consider coupled nonlinear Schrodinger equations (CNLSE) which govern the propagation of nonlinear waves in bimodal optical fibers. The nonlinear transform of a dual-frequency signal is used to generate an ultra-short-pulse train.
Agrawal +29 more
core +1 more source
Exact solutions for N-magnon scattering [PDF]
, 2008 Giant magnon solutions play an important role in various aspects of the AdS/CFT correspondence. We apply the dressing method to construct an explicit formula for scattering states of an arbitrary number N of magnons on R x S^3.
Kalousios, Chrysostomos +2 more
core +2 more sources
Propulsion and Power Research, 2018 In this article, the two variable (G′/G,1/G)-expansion method is suggested to investigate new and further general multiple exact wave solutions to the Drinfeld-Sokolov-Satsuma-Hirota (DSSH) equation and the shallow water wave equation which arise in ...
H.M.Shahadat Ali +2 more
doaj +1 more source
New interaction solutions to the (2+1)-dimensional Hirota–Satsuma–Ito equation
Results in Physics, 2022 This study aims to determine novel analytical lump solutions to the (2+1)-dimensional Hirota–Satsuma–Ito equation through conducting symbolic computations using the Hirota direct method.
Fei Long +4 more
doaj +1 more source
On integrability of Hirota-Kimura type discretizations
, 2011 We give an overview of the integrability of the Hirota-Kimura discretization method applied to algebraically completely integrable (a.c.i.) systems with quadratic vector fields.
A. Clebsch +28 more
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Non-commutative lattice modified Gel'fand-Dikii systems [PDF]
, 2013 We introduce integrable multicomponent non-commutative lattice systems, which can be considered as analogs of the modified Gel'fand-Dikii hierarchy. We present the corresponding systems of Lax pairs and we show directly multidimensional consistency of ...
Doliwa, Adam
core +1 more source
Dressing method and the coupled KP hierarchy
, 1999 The coupled KP hierarchy, introduced by Hirota and Ohta, are investigated by using the dressing method. It is shown that the coupled KP hierarchy can be reformulated as a reduced case of the 2-component KP hierarchy.Comment: 11 pages, LaTeX, no ...
Dodd +13 more
core +1 more source
JCPP Advances, EarlyView.Abstract Background Vaccination has been proposed as a potential risk factor for autism spectrum disorder (ASD), contributing to public hesitancy and mistrust toward immunization. Influenza vaccination during pregnancy is considered safe and effective in preventing serious maternal complications and adverse birth outcomes associated with influenza ...
Shahar Neeman +4 more
wiley +1 more source