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Fundamental Journal of Modern Physics

ISSN: 2249-9768
Volume 1, Issue 1, 2011, Pages 1-132

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Nonclassical solitary waves for nonlinear ordinary differential equation
Author(s): M. Agüero, F. Ongay and J. Sánchez-Mondragón
Pages: 41-62
Received: April 18, 2011
 
Abstract
We present an analysis of a generalized model for a chain of particles along a line subjected to nonlinear an-harmonic self-interaction potentials. Several analytical compact and peak like solutions are obtained considering appropriated restrictions on their speeds and jump conditions. We study their phase trajectories and show the stability conditions for each solution.


Keywords and phrases

nonclassical solitary wave solutions, compactons, peakons, solitons, ODE, nonlinear differential equations.

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