Journal ArticleDOI
New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
Narimasa Sasa,Junkichi Satsuma +1 more
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In this paper, it was shown that a higher-order nonlinear Schrodinger equation which describes propagation of pulses in optical fiber is solvable by means of the inverse scattering transform, which possesses a remarkable property that it can propagate steadily with two peaks of the same height.Abstract:
It is shown that a higher-order nonlinear Schrodinger equation which describes propagation of pulses in optical fiber is solvable by means of the inverse scattering transform. The soliton solution possesses a remarkable property that it can propagate steadily with two peaks of the same height.read more
Citations
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Integrable properties of the general coupled nonlinear Schrödinger equations
TL;DR: In this article, a general integrable coupled nonlinear Schrodinger system is investigated, where the coefficients of the self-phase modulation, cross-phase and four-wave mixing terms are more general while still maintaining integrability.
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Are rogue waves robust against perturbations
TL;DR: In this article, the effect of various perturbations on the fundamental rational solution of the nonlinear Schrodinger equation (NLSE) was studied, and it was shown that the rational solution remains rational and localized in each direction, thus representing a modified rogue wave.
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Versatile rogue waves in scalar, vector, and multidimensional nonlinear systems
TL;DR: This dissertation aims to provide a history of web exceptionalism from 1989 to 2002, a period chosen in order to explore its roots as well as specific cases up to and including the year in which descriptions of “Web 2.0” began to circulate.
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The Coupled Modified Korteweg-de Vries Equations
Takayuki Tsuchida,Miki Wadati +1 more
TL;DR: In this paper, the modified KdV equation was generalized to a multi-component system, and a new extended version of the inverse scattering method was applied to this system, which has an infinite number of conservation laws and multi-soliton solutions.
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Riemann–Hilbert approach and N-soliton solutions for a generalized Sasa–Satsuma equation
Xianguo Geng,Jianping Wu +1 more
TL;DR: In this article, a generalized Sasa-Satsuma equation on the line is studied via the Riemann-Hilbert approach via a Lax pair associated with a 3 × 3 matrix spectral problem.
References
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Journal ArticleDOI
Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion
Akira Hasegawa,Frederick Tappert +1 more
TL;DR: Theoretical calculations supported by numerical simulations show that utilization of the nonlinear dependence of the index of refraction on intensity makes possible the transmission of picosecond optical pulses without distortion in dielectric fiber waveguides with group velocity dispersion.
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Experimental Observation of Picosecond Pulse Narrowing and Solitons in Optical Fibers
TL;DR: In this paper, the authors reported narrowing and splitting of 7-ps-duration pulses from a mode-locked color-center laser by a 700m-long, singlemode silica-glass fiber, at a wavelength (1.55 \ensuremath{mu}m) of loss and large but negative group-velocity dispersion.
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Exact envelope‐soliton solutions of a nonlinear wave equation
TL;DR: In this article, exact N-envelope-soliton solutions have been obtained for the following nonlinear wave equation, where α, β, γ and δ are real positive constants with the relation αβ = γδ.
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Nonlinear pulse propagation in a monomode dielectric guide
Yuji Kodama,A. Hasegawa +1 more
TL;DR: In this article, the authors derived the nonlinear wave equation for an envelope of an electromagnetic wave in a monomode dielectric waveguide and derived the coefficients of the Schrodinger equation with higher-order dispersion and dissipation (both linear and nonlinear) in terms of properties of the eigenfunction of the guided wave as well as of the material nonlinearity and dispersion.