Search
Search Results
-
Size effects on the mixed modes and defect modes for a nano-scale phononic crystal slab
The size-dependent band structure of an Si phononic crystal (PnC) slab with an air hole is studied by utilizing the non-classic wave equations of the...
-
An adaptive artificial viscosity for the displacement shallow water wave equation
The numerical oscillation problem is a difficulty for the simulation of rapidly varying shallow water surfaces which are often caused by the unsmooth...
-
Tunable three-dimensional nonreciprocal transmission in a layered nonlinear elastic wave metamaterial by initial stresses
In this work, the three-dimensional (3D) propagation behaviors in the nonlinear phononic crystal and elastic wave metamaterial with initial stresses...
-
Transference of Love-type waves in a bedded structure containing a functionally graded material and a porous piezoelectric medium
The frequency of the Love-type surface waves in a bedded structure consisting of a porous piezoelectric (PP) medium and a functionally graded...
-
A new approach to the Cauchy and Goursat problems for the nonlinear Wheeler–DeWitt equation
We consider a nonlinear version of the Wheeler–DeWitt equation which was introduced by Cooper, Susskind, and Thorlacius in the context of...
-
Combined stress waves with phase transition in thin-walled tubes
The incremental constitutive relation and governing equations with combined stresses for phase transition wave propagation in a thin-walled tube are...
-
Composite waves for a cell population system modeling tumor growth and invasion
In the recent biomechanical theory of cancer growth, solid tumors are considered as liquid-like materials comprising elastic components. In this...
-
Bifurcations of traveling wave solutions and exact solutions to generalized Zakharov equation and Ginzburg-Landau equation
This paper studies the dynamic behaviors of some exact traveling wave solutions to the generalized Zakharov equation and the Ginzburg-Landau...
-
Propagation of harmonic waves through micro gap with consideration of frictional contact
Transmission of elastic waves through a micro gap between two solids with consideration of frictional contact is investigated. By using the Fourier...
-
Nonlinear Hyperbolic Surface Waves
We describe examples of hyperbolic surface waves and discuss their connection with initial boundary value and discontinuity problems for hyperbolic...
-
Chebyshev finite spectral method with extended moving grids
A Chebyshev finite spectral method on non-uniform meshes is proposed. An equidistribution scheme for two types of extended moving grids is used to...
-
Nonlinear flexural waves and chaos behavior in finite-deflection Timoshenko beam
Based on the Timoshenko beam theory, the finite-deflection and the axial inertia are taken into account, and the nonlinear partial differential...
-
Action Minimising Fronts in General FPU-type Chains
We study atomic chains with nonlinear nearest neighbour interactions and prove the existence of fronts (heteroclinic travelling waves with constant...
-
Exact traveling wave solutions and bifurcations in a nonlinear elastic rod equation
The exact parametric representations of the traveling wave solutions for a nonlinear elastic rod equation are considered. By using the method of...
-
Symmetry solutions of a nonlinear elastic wave equation with third-order anharmonic corrections
Lie symmetry method is applied to analyze a nonlinear elastic wave equation for longitudinal deformations with third-order anharmonic corrections to...
-
Existence of traveling wave solutions for a nonlinear dissipative-dispersive equation
In this paper, we consider a dissipative-dispersive nonlinear equation appliable to many physical phenomena. Using the geometric singular...
-
Existence and breaking property of real loop-solutions of two nonlinear wave equations
Dynamical analysis has revealed that, for some nonlinear wave equations, loop- and inverted loop-soliton solutions are actually visual artifacts. The...
-
Emergence and Bifurcations of Lyapunov Manifolds in Nonlinear Wave Equations
Persistence and bifurcations of Lyapunov manifolds can be studied by a combination of averaging-normalization and numerical bifurcation methods. This...