Results 171 to 180 of about 48,721 (216)

Internal symmetries of soliton equations

Physica Scripta, 1991
Summary: The geometrical structure of integrable nonlinear evolution equations is related to a conformal symmetry group acting in the space of solutions. This internal symmetry is shown to result from the interplay between Bäcklund transformations and Darboux transformations of the Lax pair.
Stahlhofen, A. A., Schramm, A. J.
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Hypergeometric Solutions of Soliton Equations

Theoretical and Mathematical Physics, 2001
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Orlov, A. Yu., Scherbin, D. M.
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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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Discrete Painlevé equations from nonisospectral soliton equations

2000
Blank
Quispel, Gilles., Levi, D.
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Attactors of dissipative soliton equation

Applied Mathematics and Mechanics, 1994
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Tian, Lixin, Xu, Zhenyuan, Liu, Zhengrong   +2 more
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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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N = 2 SUPERSYMMETRIC SOLITON EQUATION

Modern Physics Letters A, 1990
The N = 2 supersymmetric scalar Lax formalism for soliton equations is studied.
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Solitons and singular solitons for the Gardner–KP equation

Applied Mathematics and Computation, 2008
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1-Soliton solution of KdV6 equation

Nonlinear Dynamics, 2015
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Mirzazadeh, Mohammad, Eslami, Mostafa, Biswas, Anjan   +2 more
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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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