Cover Image

An effective description of the impact of inhomogeneities on the movement of the kink front in 2+1 dimensions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Gatlik, Jacek, Dobrowolski, Tomasz, Kevrekidis, Panayotis G.
Format:	Preprint
Published:	2023
Subjects:	Pattern Formation and Solitons
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Kink-inhomogeneity interaction in the sine-Gordon model
by: Gatlik, Jacek, et al.
Published: (2023)

Kink movement on a periodic background
by: Dobrowolski, Tomasz, et al.
Published: (2024)

Radial kinks in a Schwarzschild-like geometry
by: Caputo, Jean-Guy, et al.
Published: (2024)

Parametric Resonance in the Non-Autonomous Sine-Gordon Model
by: Dobrowolski, Tomasz, et al.
Published: (2025)

Kink Dynamics in a Non-Autonomous Sine-Gordon Model
by: Dobrowolski, Tomasz, et al.
Published: (2025)

Front propagation in non-homogeneous $ϕ^4$ model
by: Gatlik, Jacek, et al.
Published: (2026)

Orbital stability of kinks in the NLS equation with competing nonlinearities
by: Holmer, Justin, et al.
Published: (2025)

Data-driven Soliton Manifold Approximations for Dark and Bright Waves: Some Prototypical 1d Case Examples
by: Yang, Su, et al.
Published: (2025)

Multi-hump Collapsing Solutions in the Nonlinear Schr{ö}dinger Problem: Existence, Stability and Dynamics
by: Chapman, Jon S., et al.
Published: (2025)

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice
by: Yang, Su, et al.
Published: (2025)

A regularized continuum model for traveling waves and dispersive shocks of the granular chain
by: Yang, Su, et al.
Published: (2024)

Stability of Breathers for a Periodic Klein-Gordon Equation
by: Chirilus-Bruckner, Martina, et al.
Published: (2024)

Dark solitons in the fractional NLS equation
by: Márquez, Almudena P., et al.
Published: (2026)

Unveiling Solitonic Collisions in Mechanical Metamaterials
by: Miyazawa, Yasuhiro, et al.
Published: (2025)

Experimentally Tractable Generation of High-Order Rogue Waves in Bose-Einstein Condensates
by: Adriazola, Jimmie, et al.
Published: (2024)

Skin modes in a nonlinear Hatano-Nelson model
by: Manda, Bertin Many, et al.
Published: (2023)

NLS approximation and dark solitons for the Adlam-Allen model of cold collisionless plasmas
by: Veldes, George P., et al.
Published: (2025)

Hydromagnetic shock waves in a cold weakly collisional plasma
by: Calabrese, Marco, et al.
Published: (2025)

An epidemical model with nonlocal spatial infections
by: Yang, Su, et al.
Published: (2024)

Formation of mechanical rogue waves
by: Miyazawa, Yasuhiro, et al.
Published: (2026)

Topological pumping in origami metamaterials
by: Li, Shuaifeng, et al.
Published: (2024)

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach
by: Chen, Shaoxuan, et al.
Published: (2025)

On the Riemann problem for the Adlam-Allen model
by: Yang, Su, et al.
Published: (2026)

On the proximity of Ablowitz-Ladik and discrete Nonlinear Schrödinger models: A theoretical and numerical study of Kuznetsov-Ma solutions
by: Lytle, Madison L., et al.
Published: (2024)

A Nonlinear Journey from Structural Phase Transitions to Quantum Annealing
by: Thudiyangal, Mithun, et al.
Published: (2024)

Data-Driven Discovery of Conservation Laws from Trajectories via Neural Deflation
by: Chen, Shaoxuan, et al.
Published: (2024)

Development of kinks in car-following models
by: Kurtze, Douglas A.
Published: (2016)

Dynamics of Nonlinear Lattices
by: Chong, Christopher, et al.
Published: (2024)

Dirac Solitons and Topological Edge States in the $β$-Fermi-Pasta-Ulam-Tsingou dimer lattice
by: Chaunsali, Rajesh, et al.
Published: (2022)

On the Whitham modulation equations for the Toda lattice and the quantitative characterization of its dispersive shocks
by: Biondini, Gino, et al.
Published: (2023)

Solitons and kinks in a general car-following model
by: Kurtze, Douglas A.
Published: (2012)

Quasiclassical quantization of the Boussinesq breather emerging from the kink localized mode
by: Bogdan, M. M., et al.
Published: (2025)

Integrable Approximations of Dispersive Shock Waves of the Granular Chain
by: Chong, C., et al.
Published: (2024)

Generic transverse stability of kink structures in atomic and optical nonlinear media with competing attractive and repulsive interactions
by: Mistakidis, S. I., et al.
Published: (2024)

Exponential Asymptotics for Translational Modes in the Discrete Nonlinear Schr{ö}dinger Model
by: Lustri, C. J., et al.
Published: (2025)

Solitary waves and kinks in FPU lattices with soft-hard-soft trilinear interactions
by: Vainchtein, Anna, et al.
Published: (2024)

The Dissipative Effect of Caputo--Time-Fractional Derivatives and its Implications for the Solutions of Nonlinear Wave Equations
by: Bountis, Tassos, et al.
Published: (2024)

Exponential Asymptotics for Dark Solitons of the Discrete NLS Model
by: Lustri, C. J., et al.
Published: (2026)

Stability of smooth solitary waves under intensity--dependent dispersion
by: Kevrekidis, P. G., et al.
Published: (2024)

Global Bifurcations in a Damped-Driven Diatomic Granular Crystal
by: Pozharskiy, D., et al.
Published: (2024)