Results 91 to 100 of about 32,605 (214)
Global existence for the defocusing nonlinear Schrödinger equations with limit periodic initial data [PDF]
, 2015 We consider the Cauchy problem for the defocusing nonlinear Schrödinger equations (NLS) on the real line with a special subclass of almost periodic functions as initial data.
Oh, Tadahiro
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WKB analysis of non-elliptic nonlinear Schrodinger equations [PDF]
, 2020 International audienceWe justify the WKB analysis for generalized nonlinear Schrödinger equations (NLS), including the hyperbolic NLS and the Davey-Stewartson II system.
Carles, Rémi, Gallo, Clément
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Journal of Ocean Engineering and Science, 2020 In this paper, the variable coefficient nonlinear Schrödinger equation with fifth order dispersion in the inhomogeneous optical fiber is investigated to study the impact of fifth order dispersion on attosecond soliton propagation.
Angelin Vithya, M.S. Mani Rajan
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Relaxation of solitons in nonlinear Schrödinger equations with potential [PDF]
, 2006 In this paper we study dynamics of solitons in the generalized nonlinear Schrodinger equation (NLS) with an external potential in all dimensions except for 2. For a certain class of nonlinearities such an equation has solutions which are periodic in time
Z. Gang, I. Sigal
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This study proposes a comprehensive study on fractional soliton solutions and chaotic nature for the temporal M‐fractional Yajima–Oikawa (YO) model in shortwave and longwave regimes. Utilizing the new Jacobian elliptic function method, the optical soliton solutions are examined with diverse categories, including kinky‐periodic wave, kink with bell wave,
Md. Mamunur Roshid +5 more
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Critical blowup in coupled Parity-Time-symmetric nonlinear Schrödinger equations [PDF]
, 2017 International audienceIn this article, we obtain sucient conditions to obtain finite time blowup in a system of two coupled nonlinear Schrödinger (NLS) equations in the critical case.
Destyl, Edès +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper presents an analysis of breather soliton solutions of the integrable extended KdV and KP equations in (2 + 1)‐ and (3 + 1)‐dimensional settings. Employing symbolic computation along with Hirota’s bilinear formalism, we construct positive logarithmic function solutions for the corresponding bilinear equations associated with each model. These
Ali Danladi +4 more
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Phase shift, amplification, oscillation and attenuation of solitons in nonlinear optics
Journal of Advanced Research, 2019 In nonlinear optics, the soliton transmission in different forms can be described with the use of nonlinear Schrödinger (NLS) equations. Here, the soliton transmission is investigated by solving the NLS equation with the reciprocal of the group velocity ...
Weitian Yu +4 more
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A class of exact, periodic solutions of nonlinear envelope equations [PDF]
, 1995 A class of periodic solutions of nonlinear envelope equations, e.g., the nonlinear Schrödinger equation (NLS), is expressed in terms of rational functions of elliptic functions.
Kwok W. Chow, Chow, KW
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Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation
Communications on Pure and Applied Mathematics, Volume 78, Issue 12, Page 2305-2353, December 2025.Abstract We consider the 3d$3d$ energy critical nonlinear Schrödinger equation with data distributed according to the Gaussian measure with covariance operator (1−Δ)−s$(1-\Delta)^{-s}$, where Δ$\Delta$ is the Laplace operator and s$s$ is sufficiently large. We prove that the flow sends full measure sets to full measure sets. We also discuss some simple
Chenmin Sun, Nikolay Tzvetkov
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