On the reduction of some second-order nonlinear ODEs in physics and mechanics to first-order nonlinear integrodifferential and Abel’s classes of equations-Reference-Cited by-同舟云学术

On the reduction of some second-order nonlinear ODEs in physics and mechanics to first-order nonlinear integrodifferential and Abel’s classes of equations

Published:2003-11 Issue:3 Volume:40 Page:255-270
ISSN:0167-8442
Container-title:Theoretical and Applied Fracture Mechanics
language:en
Short-container-title:Theoretical and Applied Fracture Mechanics

Author:

Sotiropoulou A.B.,Panayotounakos D.E.

Publisher

Elsevier BV

Subject

Applied Mathematics,Mechanical Engineering,Condensed Matter Physics,General Materials Science

Reference19 articles.

1. Discreteness effects on non-topological kink soliton dynamics in nonlinear lattices;Peyrard;Physica D,1986

2. Periodic nonlinear waves on a half-line;Weinstein;Communications of Mathematical Physics,1985

3. Study of two-dimensional axisymmetric breathers using Padé approximants;Emaci;Nonlinear Dynamics,1997

4. A. Sotiropoulou, N. Panayotounakou, D.E. Panayotounakos, Analytical parametric solutions for the HRR––nonlinear elastic field with low hardening exponent, submitted for publication

5. Introduction to Nonlinear Mechanics;Krylov,1947

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