Results 181 to 190 of about 48,699 (224)

Soliton Equations and Simple Combinatorics

Acta Applicandae Mathematicae, 2008
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Lambert, Franklin, Springael, Johan
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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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Multiple-soliton solutions of Einstein’s equations

Journal of Mathematical Physics, 1989
Using the Belinsky–Zakharov generating technique and a flat metric as a seed, two- and four-soliton solutions of the Einstein vacuum equations for the cases of stationary axisymmetric, cylindrically symmetric, or plane symmetric gravitational fields are considered. Three- and five-parameter classes of exact solutions are obtained, some of which are new.
Economou, A., Tsoubelis, D.
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Integrable mappings and soliton equations II

Physica D: Nonlinear Phenomena, 1989
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Quispel, G. R. W., Roberts, J. A. G., Thompson, C. J.   +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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Other Ubiquitous Soliton Equations

2003
In the previous chapter, we have seen that the KdV equation is a completely integrable, infinite-dimensional, nonlinear dynamical system. It possesses exact soliton solutions exhibiting remarkable particle-like collision properties. Its Cauchy initial value problem is completely solvable through the Inverse Scattering Transform (IST) procedure by ...
M. Lakshmanan, S. Rajasekar
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