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Inverse scattering transform for a nonlinear lattice equation under non-vanishing boundary conditions
Under investigation in this paper is the inverse scattering transform for a nonlinear lattice equation, which can be used to study the fluctuation of...
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Generalized exponential rational function method for solving nonlinear conformable time-fractional Hybrid-Lattice equation
The current manuscript proposes an innovative approach for obtaining exact solutions to the conformable time-fractional nonlinear...
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Dromion Lattice Structure for Coupled Nonlinear Maccari’s Equation
In this article, we are interested to obtain analytic solutions of coupled nonlinear Maccari’s equation. We employ Truncated Painlevé Approach to...
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Solving the relativistic Toda lattice equation via the generalized exponential rational function method
In this article, we focus on a specific version of the NDDEs which is the relativistic Toda lattice equation. We employ the generalized exponential...
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Nonlinear interaction of quadruple-Gaussian laser beams with periodic lattice of metallic nanoparticles: self-action effects
In this study theoretical exploration of the optical self-action effects involving quadruple-Gaussian (Q.G) laser beams interacting with a periodic...
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Applications of the Sylvester equation for the lattice BKP system
AbstractThe Sylvester equation plays an important role in many branches of mathematical physics. The goal of this paper is to show that a special...
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Dynamical behaviours and fractional alphabetical-exotic solitons in a coupled nonlinear electrical transmission lattice including wave obliqueness
We investigate through the ansatz and auxiliary equation methods novel types of solitary wave solutions for (2+1)-D coupled nonlinear electrical...
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Comparative Study of Rogue Wave Solutions for Autonomous and Non-autonomous Saturable Discrete Nonlinear Schrödinger Equation
The existence of rogue waves in the saturable discrete nonlinear Schrodinger equation (SDNLSE) has been established numerically. These extreme waves...
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Intrinsic Localized Modes in a Two-Dimensional Checkerboard Ferromagnetic Lattice
An analytical work on intrinsic localized modes in a two-dimensional Heisenberg ferromagnet on the checkerboard lattice is presented. Taking...
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Fractional Discrete Linear and Nonlinear Models
Fractionality in physics is an old concept that has resurfaced recently, where the usual derivative and integral of integer order are extended to a...
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Solving the Equations of Nonlinear Model of Crystalline Media with Complex Lattice and Some Structures of Plane Deformation
A nonlinear model of deformation of solid state with a complex crystal lattice is considered. A general solution of dynamic equations is given for...
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Fundamentals of Lattice Boltzmann Method
Different from the traditional computational fluid dynamics based on the macroscopic Navier–Stokes equations, the lattice Boltzmann method (LBM),...
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The Dirac equation as a linear tensor equation for one component
The Dirac equation is one of the most fundamental equations of modern physics. It is a spinor equation, but some tensor equivalents of the equation...
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Static vector solitons in a topological mechanical lattice
Topological solitons, renowned for their stability and particle-like collision behaviors, have sparked interest in develo** macroscopic-scale...
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Dynamical properties of nonlinear dust ion-acoustic waves on the basis of the Schamel–KdV equation
In this present study, our objective is to investigate the formation of dust ion-acoustic solitary and periodic waves in a superthermal magnetised...
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Classification of solutions of the generalized mixed nonlinear Schrödinger equation
AbstractWe construct a generalized Darboux transformation for a generalized mixed nonlinear Schrödinger equation and consider a complete...
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Novel optical solitons for the Ablowitz–Ladik lattice equation with conformable derivatives in the optical fibers
The principal purpose of this research is to utilize the exp-function approach for achieving exact solutions of nonlinear optical fibers, including...
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A lattice Boltzmann source formulation for advection and anisotropic diffusion
In this paper, simulations of two-dimensional advection and anisotropic diffusion with the lattice Boltzmann formulation were performed. Based on...
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Nonlinear Schrödinger Equation with Dissipation: Two Models for Bose-Einstein Condensates
Dissipation is a universal phenomenon which must be taken into account each time when one attempts to bring a theoretical description of a physical...