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Spatiotemporal Hermite–Gaussian solitons of a (3 + 1)-dimensional partially nonlocal nonlinear Schrödinger equation
Chao-Qing Dai,Yu Wang,Jiu Liu +2 more
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In this paper, a (3 + 1)-dimensional partially nonlocal nonlinear Schrodinger equation is considered, and approximate spatiotemporal Hermite-Gaussian soliton solutions are obtained using the Hirota method.Abstract:
A (3 + 1)-dimensional partially nonlocal nonlinear Schrodinger equation is considered, and approximate spatiotemporal Hermite–Gaussian soliton solutions are obtained using the Hirota method. Based on these results, some basic characteristics of spatiotemporal Hermite–Gaussian solitons are studied.read more
Citations
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Bäcklund transformation, multiple wave solutions and lump solutions to a (3 + 1)-dimensional nonlinear evolution equation
TL;DR: In this article, a 3 + 1 -dimensional nonlinear evolution equation is cast into Hirota bilinear form with a dependent variable transformation, which consists of six linear equations and involves nine arbitrary parameters.
Journal ArticleDOI
Exact vector multipole and vortex solitons in the media with spatially modulated cubic–quintic nonlinearity
TL;DR: In this article, a (2+1)-dimensional N-coupled nonlinear Schrodinger equation with spatially modulated cubic-quintic nonlinearity and transverse modulation is studied, and vector multipole and vortex soliton solutions are analytically obtained.
Journal ArticleDOI
Managements of scalar and vector rogue waves in a partially nonlocal nonlinear medium with linear and harmonic potentials
TL;DR: In this paper, the authors consider a non-local Schrodinger equation with partially nonlocal nonlinearity under linear and harmonic potentials and find diversified exact solutions, including the nonlocal rogue wave and Akhmediev or Ma breather solutions.
Journal ArticleDOI
Vector spatiotemporal localized structures in (3 \(+\) 1)-dimensional strongly nonlocal nonlinear media
TL;DR: In this paper, the authors investigated the (3 + 1)-dimensional coupled nonlocal nonlinear Schrodinger equation in the inhomogeneous nonlocal nonsmooth media and derived analytical vector spatio-temporal localized solution.
Journal ArticleDOI
Integrability, solitons, periodic and travelling waves of a generalized (3+1)-dimensional variable-coefficient nonlinear-wave equation in liquid with gas bubbles
Gao-Fu Deng,Yi-Tian Gao +1 more
TL;DR: In this paper, a generalized (3+1)-dimensional varible-coefficient nonlinear-wave equation is presented for nonlinear waves in liquid with gas bubbles, and the bilinear form, Backlund transformation, Lax pair and infinitely many conservation laws are obtained via the binary Bell polynomials.
References
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Journal ArticleDOI
Stable light-bullet solutions in the harmonic and parity-time-symmetric potentials
Journal ArticleDOI
Azimuthons: spatially modulated vortex solitons
TL;DR: A novel class of spatially localized self-trapped ringlike singular optical beams in nonlinear media, the so-called azimuthons, which appear due to a continuous Azimuthal deformation of vortex solitons, are introduced.
Journal ArticleDOI
Coherently coupled solitons, breathers and rogue waves for polarized optical waves in an isotropic medium
TL;DR: In this article, a coherently coupled nonlinear Schrodinger system which describes the propagation of polarized optical waves in an isotropic medium is investigated, and some new solutions have been generated on the vanishing and non-vanishing backgrounds, including multi-solitons, bound solitons, one-breathers, bound breathers, two-breathhers, first-order and higher-order rogue waves.
Journal ArticleDOI
Analytical study on a two-dimensional Korteweg–de Vries model with bilinear representation, Bäcklund transformation and soliton solutions
Xing Lü,Fuhong Lin,Fenghua Qi +2 more
TL;DR: In this article, a two-dimensional Kortewegde-de Vries (KdV) model was derived and transformed into bilinear form by symbolic computation.
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Breathers and localized solitons for the Hirota–Maxwell–Bloch system on constant backgrounds in erbium doped fibers
Rui Guo,Hui-Qin Hao +1 more
TL;DR: In this paper, the Hirota-Maxwell-Bloch system with higher order effects usually governs the propagation of ultrashort pulses in nonlinear erbium doped fibers.
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