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Titlebook: Nonlinear Evolution Equations and Dynamical Systems; Sandra Carillo,Orlando Ragnisco Conference proceedings 1990 Springer-Verlag Berlin He

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书目名称Nonlinear Evolution Equations and Dynamical Systems
编辑Sandra Carillo,Orlando Ragnisco
视频video
丛书名称Research Reports in Physics
图书封面Titlebook: Nonlinear Evolution Equations and Dynamical Systems;  Sandra Carillo,Orlando Ragnisco Conference proceedings 1990 Springer-Verlag Berlin He
出版日期Conference proceedings 1990
关键词Dynamische Systeme; Integrable Hamilton Systeme; Inverse Methoden; Nichtlineare Evolutionsgleichungen; S
版次1
doihttps://doi.org/10.1007/978-3-642-84039-5
isbn_softcover978-3-540-51983-6
isbn_ebook978-3-642-84039-5Series ISSN 0939-7426
issn_series 0939-7426
copyrightSpringer-Verlag Berlin Heidelberg 1990
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Equations That Pass Hirota’s Three-Soliton Condition and Other Tests of Integrabilitymation to put the nonlinear evolution equation (NEE) in a form which is quadratic in the dependent variable(s) and where derivatives appear only through the bilinear operator defined below. In this form the construction of soliton solutions is much easier.
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Selection of Solvable Nonlinear Evolution Equations by Systematic Searches for Lie Bäcklund SymmetriD.E which possesses high order L.-B. symmetries may be transformed to a linear equation and solved exactly. The author has found solvable examples for (i) horizontal flow in unsaturated scale-heterogeneous porous media .and (ii) the heterogeneous nonlinear Schrödinger equation with dielectric loss,
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Reflection Coefficients and Polesthe Schrödinger equation,.exist, with the following asymptotic behaviours:.where the transmission and reflection coefficients have the following properties:.for simplicity of notation, we accordingly drop the suffix on the transmission coefficient in what follows.
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On Integration of the Korteweg-de Vries Equation with a Self-consistent Sourcedition Re λ.(t)>0 at any t≥0; the bar means complex conjugation, and the operator L has the form . We are interested in the solution u=u(x,t), φ. =φ. (x,t),ψ. =ψ. (x,t), n=1,...N, of the system (1), at any t≥o satisflying the conditions
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The Inverse Scattering Transform for the Elliptic Sinh-Gordon EquationThe elliptic Sinh-Gordon equation .appears in plasma physics [1–5] as a two dimensional model equation describing a system of interacting charged particles. Depending on the sign of λ. we can consider both positive and negative temperature states of thermal equilibrium [4], corresponding to essentially different solutions of eq. (1).
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0939-7426 Overview: 978-3-540-51983-6978-3-642-84039-5Series ISSN 0939-7426
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