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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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書目名稱Nonlinear Evolution Equations and Dynamical Systems
編輯Sandra Carillo,Orlando Ragnisco
視頻videohttp://file.papertrans.cn/668/667484/667484.mp4
叢書名稱Research Reports in Physics
圖書封面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
關(guān)鍵詞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
The information of publication is updating

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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.
板凳
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Selection of Solvable Nonlinear Evolution Equations by Systematic Searches for Lie B?cklund 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 Schr?dinger equation with dielectric loss,
地板
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Reflection Coefficients and Polesthe Schr?dinger 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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