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Improved solution for solitary waves in arteries

Journal of Mathematical Biology, 1999
Nonlinear waves are investigated numerically by a direct analysis of the field equations, thereby establishing the magnitude of the errors inherent in the commonly used reductive perturbation technique. The method is also applied beyond the long-wave approximation and a comparative assessment of the results obtained is presented.
Epstein, Marcelo, Johnston, Clifton
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On the solitary wave solutions of the CQNLS

Chaos, Solitons & Fractals, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hua, Cuncai, Li, Kaitai
openaire   +1 more source

Relativistic Solitary-Wave Solutions of the Beat-Wave Equations

Physical Review Letters, 1986
The relativistic equations governing the nonlinear interaction of two light waves and a Langmuir wave are shown to admit two classes of solitary-wave solutions. Temporal solitary waves propagate at speeds greater than the speed of light and carry no information.
, McKinstrie, , DuBois
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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 waves and fundamental solution for Ostrovsky equation

Mathematics and Computers in Simulation, 2005
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Vladimir Varlamov, Yue Liu
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A discretized solution for the solitary wave

Journal of Computational Physics, 1974
A successive correction technique, based on generalization to n dimensions of Newton's process for finding zeros of a real function of a real variable, is employed to solve two-dimensional steady-state potential flows with free surface and gravity.
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Analyticity of Solitary-Wave Solutions of Model Equations for Long Waves

SIAM Journal on Mathematical Analysis, 1996
Summary: It is shown that solitary-wave solutions of model equations for long waves have an analytic extension to a strip in the complex plane that is symmetric about the real axis. The classes of equations to which the analysis applies include equations of Korteweg-de Vries type, the regularized long-wave equations, and particular instances of ...
Li, Yi A., Bona, Jerry L.
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Solitary Wave Solutions and Kink Wave Solutions for a Generalized PC Equation

Acta Mathematicae Applicatae Sinica, English Series, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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