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Fundamental solution of nuclear solitary wave

Energy Conversion and Management, 2012
Abstract This paper deals with the problem of asymptotic breeding/burning waves during long term nuclear fission processes. The uranium–plutonium (U–Pu) conversion cycle is considered under fast spectrum conditions. A one-group diffusion equation coupled with burn-up equations is set up.
Chen, X. N.   +3 more
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Solitary wave solutions of nonlinear equations

Physics Letters A, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Jinlong   +3 more
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Bifurcation, chaotic behavior and solitary wave solutions for the Akbota equation

AIMS Mathematics
In this article, the dynamic behavior and solitary wave solutions of the Akbota equation were studied based on the analysis method of planar dynamic system. This method can not only analyze the dynamic behavior of a given equation, but also construct its
Zhao Li, Shan Zhao
semanticscholar   +1 more source

Solitary wave solutions of nonlinear wave equations

American Journal of Physics, 1992
A method is proposed for obtaining traveling-wave solutions of nonlinear wave equations that are essentially of a localized nature. It is based on the fact that most solutions are functions of a hyperbolic tangent. This technique is straightforward to use and only minimal algebra is needed to find these solutions.
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Solitary solution of Alfvèn wave propagation

Chaos, Solitons & Fractals, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
El-Hanbaly, A. M.   +2 more
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Solitary wave solutions of nonlocal sine-Gordon equations

Chaos: An Interdisciplinary Journal of Nonlinear Science, 1998
In this paper a nonlocal generalization of the sine-Gordon equation, utt+sin u=(∂/∂x)∫−∞+∞G(x−x′)ux′(x′,t)dx′ is considered. We present a brief review of the applications of such equations and show that involving such a nonlocality can change features of the model.
Alfimov, G. L.   +2 more
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Solitary Waves Solutions of a Nonlinear Schrödinger Equation

2003
The aim of this note is to prove the existence of standing waves solutions of the following nonlinear Schrodinger equation $$ i\frac{{\partial \psi }} {{\partial t}} = - \Delta \psi + V(x)\psi + \varepsilon N(\psi ), $$ where NM is a nonlinear differential operator.
MICHELETTI, ANNA MARIA, D. VISETTI
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Solitary Wave Solutions and Kink Wave Solutions for a Generalized PC Equation

Acta Mathematicae Applicatae Sinica, English Series, 2005
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Solitary wave solutions and kink wave solutions for a generalized KDV–mKDV equation

Applied Mathematics and Computation, 2011
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Song, Ming, Hou, Xuejiong, Cao, Jun
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Solitary wave solutions and kink wave solutions for a generalized Zakharov–Kuznetsov equation

Applied Mathematics and Computation, 2010
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Song, Ming, Cai, Jionghui
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