Results 161 to 170 of about 49,111 (193)

Spatial solitons of Maxwell’s equations

Optics Letters, 1994
Spatial solitons of Maxwell's equations propagating in an isotropic Kerr material differ significantly from the classical soliton of the nonlinear Schrödinger equation unless the electric field is linearly polarized along a geometric axis of the soliton intensity pattern.
A W, Snyder, D J, Mitchell, Y, Chen
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On the Geometry of Soliton Equations

Acta Applicandae Mathematicae, 1995
This is an interesting survey paper on the bi-Hamiltonian approach to soliton equations. No previous knowledge of soliton equations is required to study the present paper, which can be particularly useful to graduate students who are seeking to enter the subject.
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Hypergeometric Solutions of Soliton Equations

Theoretical and Mathematical Physics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Orlov, A. Yu., Scherbin, D. M.
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Solitons and singular solitons for the Gardner–KP equation

Applied Mathematics and Computation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Attactors of dissipative soliton equation

Applied Mathematics and Mechanics, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tian, Lixin, Xu, Zhenyuan, Liu, Zhengrong   +2 more
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Solitons of a Nonlinear Schrödinger Equation

1980
In recent years, there has been a considerable development in the study of the soliton solutions of the class of nonlinear Schrodinger equations (1) for several forms of the nonlinear term F(ρ ...
MINELLI T. A., PASCOLINI, ALESSANDRO
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Bilinearization of Soliton Equations

Journal of the Physical Society of Japan, 1982
Transformations of soliton equations into the bilinear forms involving four dependent variables are discussed. It is found that both nonlinear Schrodinger equation and classical Heisenberg ferromagnet equation are transformed into the same bilinear from, while the equation \begin{aligned} \phi_{xt}{=}\phi(1-|\phi_{t}|^{2})^{1/2} \end{aligned} shares ...
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The geometry of soliton equations.

1988
From the MR review by R.Schmid: "Ideas from the geometrical study of soliton equations are used to give an explanation of some algorithmic procedures used in the field of the inverse scattering technique (IST). In the first three sections particular classes of manifolds are introduced: Poisson manifolds, Poisson-Nijenhuis manifolds and GN manifolds ...
MAGRI F, MOROSI C, TONDO, GIORGIO SALVATORE   +2 more
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Geometrization of soliton equations

Physics Letters A, 1979
Abstract A unified geometric picture of the soliton equations is presented. All the soliton equations in 1 + 1 dimensions that can be solved by the inverse scattering methods (e.g. sine-Gordon, Korteweg-de Vries and modified Korteweg-de Vries equations) are shown to describe pseudospherical surfaces, i.e.
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Method for Generating Discrete Soliton Equation. III

Journal of the Physical Society of Japan, 1982
A method is given for generating hierarchies of soliton equations on which infinite dimensional subalgebras of \({\mathfrak gl}(\infty)\) act infinitesimally. Various choices of subalgebras and discrete or continuous time evolutions lead to a variety of difference or differential equations.
Date, E., Jimbo, M., Miwa, T.
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