Although the theory behind solitary waves of strain shows that they hold promise in
nondestructive testing and a variety of other applications, an enigma has long persisted-the …

Solitons and Nonlinear Periodic Strain Waves in Rods, Plates, and Shells (A Review) Page 1
1063-7710/02/4806- $22.00 © 2002 MAIK “Nauka/Interperiodica” 0643 Acoustical Physics, Vol …

Boussinesq's original derivation of his celebrated equation for surface waves on a fluid layer
opened up new horizons that were to yield the concept of the soliton. The present …

A simple nonlinear model is proposed in this paper to study the solitary wave in a circular
magneto-electro-elastic rod. Based on the constitutive relation for transversely isotropic …

In the present study, we apply an analytical scheme to acquire wave solutions of a partial
differential equation involving a local fractional derivative. The main idea of this scheme is to …

The evolution of finite-amplitude strain waves is studied in a medium with microstructure
when dissipation and energy input are taken into account. The governing non-linear …

In this paper we revisit the derivations of model equations describing long nonlinear
longitudinal bulk strain waves in elastic rods within the scope of the Murnaghan model in …

In literature, nonlinear waves in elastic rods have been studied by many authors. Usually,
the Navier-Bernoulli hypothesis (the assumption that plane cross-sections remain planar …

A detailed theoretical and experimental analysis of the possible oscillatory regimes of the
dissipative Toda-Rayleigh lattice system is provided. It is shown that the system has (N− 1) …

В монографии рассматривается широкий круг задач, связанных с локализацией
нелинейных волн деформации в средах и волноводах. Представлена асимптотическая …