A numerical study of fractional Camassa–Holm equations is presented. Smooth solitary
waves are constructed numerically. Their stability is studied as well as the long time …

The asymptotic development method is applied to analyze the free vibration of non-uniform
axially functionally graded (AFG) beams, of which the governing equations are differential …

We consider the propagation of smooth solitary waves in a two-dimensional generalization
of the Camassa–Holm equation. We show that transverse perturbations to one-dimensional …

In this paper, we investigate various rational solutions of a (2+ 1)-dimensional nonlinear
equation with variable-coefficients which can describe the propagation of nonlinear waves …

This paper investigates the nonlinear bending analysis of a hyperelastic plate via neo-
Hookean strain energy function. The first-order shear deformation plate theory (FSDPT) is …

Abstract The b-family-Kadomtsev–Petviashvili equation (b-KP) is a two dimensional
generalization of the b-family equation. In this paper, we study the spectral stability of the …

An asymptotic approach is proposed to investigate nonlinear parametric vibration of axially
accelerating viscoelastic strings. The string is constituted by the Kelvin model with the …

In the present study we describe the asymptotic perturbation method to derive a two-
dimensional nonlocal shallow-water model equation in the context of full water waves …

In this paper we provide a formal derivation of both the Camassa–Holm equation and the
fractional Camassa–Holm equation for the propagation of small-but-finite amplitude long …

Solitary waves in hyperelastic structures propagate stably in absence of external forces.
However, as the external forces increase, the stability of solitary waves may lose and then …