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Quasi-Periodic Breathers in Granular Chains with Hertzian Contact Potential
In this paper, we study the existence and stability of quasi-periodic breathers in granular chains of coupled Duffing oscillators with Hertzian...
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Periodic Solutions for a Class of Semilinear Euler–Bernoulli Beam Equations with Variable Coefficients
This paper is devoted to the study of periodic solutions for a class of semilinear Euler–Bernoulli beam equations with variable coefficients. Such a...
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Dispersive propagation of optical solitions and solitary wave solutions of Kundu-Eckhaus dynamical equation via modified mathematical method
In this research work, we constructed the optical soliton solutions of nonlinear complex Kundu-Eckhaus (KE) equation with the help of modified...
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Towards the Salinity Profile Influence on an Internal Wave Attractor Formation
A wave attractor is a peculiar hydrodynamic structure that forms under certain conditions, including vertical stratification of water. Previous...
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Nonlinear wave dispersion in monoatomic chains with lumped and distributed masses: discrete and continuum models
The main objective of this paper is to investigate the influence of inertia of nonlinear springs on the dispersion behavior of discrete monoatomic...
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A High-Accuracy Algorithm for Solving Problems of Electrostatics in a Nonhomogeneous Spatially Periodic Dielectric Medium
Abstract—A high-accuracy economical iterative method is proposed for calculating the potential and the strength of the electric field in a...
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The Soliton Wave Solutions and Bifurcations of the (2 + 1)-Dimensional Dissipative Long Wave Equation
With the help of the bifurcation theory of dynamical differential system and maple software, we shall devote ourselves to research travelling wave...
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Propagation dynamics for an age-structured population model in time-space periodic habitat
How do environmental heterogeneity influence propagation dynamics of the age-structured invasive species? We investigate this problem by considering...
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The Wave Equation
The wave equation is a classical example of a hyperbolic partial differential equation. It is non stationary and describes wave phenomena or...
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Exact periodic cross-kink wave solutions for the (2+1)-dimensional Korteweg-de Vries equation
The movement of any object has a certain natural law, and the studies and solutions to many natural laws boil down to the problem of mathematical...
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Flexural-wave-generation using a phononic crystal with a piezoelectric defect
This paper proposes a method to amplify the performance of a flexural-wave-generation system by utilizing the energy-localization characteristics of...
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Recent Progress on the Mathematical Theory of Wave Turbulence
In this note we review some recent progress on the mathematical theory of wave turbulence.
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Ground state solitons for periodic Schrödinger lattice systems with saturable nonlinearities and spectrum 0
This paper is concerned with a class of periodic Schrödinger lattice systems with spectrum 0 and saturable nonlinearities. The existence of ground...
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Natural Convection Flow in an Inclined Wavy Porous Medium in the Presence of an Inclined Periodic Magnetic Field
In this study, unsteady natural convection flow in an inclined porous wavy cavity under the effect of an inclined periodic magnetic field (MF) is...
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Solutions of Difference Equations Almost Periodic at Infinity
We consider a new class of functions almost periodic at infinity defined by using the subspace of functions that integrally decrease at infinity. We...
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Existence of Periodic Traveling Waves in Fermi–Pasta–Ulam Type Systems on 2D-Lattice with Saturable Nonlinearities
The Fermi–Pasta–Ulam-type systems with saturable nonlinearities, namely, infinite systems of particles on a two dimensional lattice, have been...
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Solitary Wave Solutions for Generalized Boiti–Leon–Manna–Pempinelli Equation by Using Improved Simple Equation Method
In this work, we study a new (3 + 1) dimensional generalized Boiti–Leon–Manna–Pempinelli equation that describes the wave dynamics in an...
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Existence and Multiplicity of Wave Trains in a 2D Diatomic Face-Centered Lattice
We investigate the existence and branching patterns of wave trains (also called periodic traveling waves) in a 2D face-centered square lattice...
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Turing instability of the periodic solution for a generalized diffusive Maginu model
In this text, we study a generalized diffusive Maginu model of morphogenesis. Of our particular interest, we consider the Turing instability of the...
