Cover Image

Discrete Nonlinear Schrödinger versus Ablowitz-Ladik: Existence and dynamics of generalized focusing NLS-type lattices over a nonzero background

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Hennig, Dirk, Karachalios, Nikos I., Mantzavinos, Dionyssios, Mitsotakis, Dimitrios
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs Pattern Formation and Solitons Exactly Solvable and Integrable Systems 37K60, 35Q55, 37K40, 35B35
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the proximal dynamics between integrable and non-integrable members of a generalized Korteweg-de Vries family of equations
by: Karachalios, Nikos I., et al.
Published: (2025)

Collisional Dynamics of Solitons and Pattern Formation in an Integrable Cross Coupled Nonlinear Schrodinger equation with constant background
by: Vinayagam, P. S., et al.
Published: (2024)

Multiple double-valley and single-valley dark solitons in the complex modified Korteweg-de Vries equation: shape-preserving collisions and shape-altering collisions
by: Huang, Yingcan, et al.
Published: (2026)

On zero-background solitons of the sharp-line Maxwell-Bloch equations
by: Li, Sitai
Published: (2024)

Matrix Lax pairs under the gauge equivalence relation induced by the gauge group action and Miura-type transformations for lattice equations
by: Igonin, Sergei
Published: (2024)

Orbital Stability of Smooth Traveling Solitary Waves to the Fornberg-Whitham Equation
by: Deng, Xijun, et al.
Published: (2026)

Spectral theory of soliton gases for the defocusing NLS equation
by: Tovbis, Alexander, et al.
Published: (2025)

Robust Dynamics of Rogue waves, Breathers and Mixed Bound State Solutions in Spin-Orbit and Rabi Coupled Condensates
by: Vinayagam, P. S., et al.
Published: (2024)

The gauge action on semi-discrete Lax representations and its invariants
by: Igonin, Sergei
Published: (2026)

A modified Korteweg-de Vries equation soliton gas under the nonzero background
by: Zhang, Xiaoen, et al.
Published: (2024)

Nonlocal conservation laws of the constant astigmatism equation
by: Hlaváč, Adam, et al.
Published: (2016)

$\bar{\partial}$-problem for focusing nonlinear Schrödinger equation and soliton shielding
by: Bertola, Marco, et al.
Published: (2024)

Large-space and long-time asymptotic behaviors of $N_{\infty}$-soliton solutions (soliton gas) for the focusing Hirota equation
by: Weng, Weifang, et al.
Published: (2024)

3D-consistency of negative flows
by: Adler, V. E.
Published: (2024)

A nonlocal coupled modified complex integrable dispersionless equation: Darboux transformation, soliton-type solutions and its asymptotic behavior
by: Sun, Hong-Qian, et al.
Published: (2025)

Analyzing the relationship between infinite symmetries and $N$-soliton solutions in the AKNS system
by: Hao, Xiazhi, et al.
Published: (2025)

Riemann--Hilbert method to the Ablowitz--Ladik equation: higher-order case
by: Liu, Huan, et al.
Published: (2024)

Cauchy matrix structures and solutions to the nonisospectral three-component mKdV equations
by: Tian, Mengli, et al.
Published: (2025)

Periodic finite-band solutions to the focusing nonlinear Schrödinger equation by the Fokas method: inverse and direct problems
by: Shepelsky, Dmitry, et al.
Published: (2023)

On the non-chiral intermediate long wave equation
by: Berntson, Bjorn K., et al.
Published: (2020)

Simplifications of Lax pairs for differential-difference equations by gauge transformations and (doubly) modified integrable equations
by: Igonin, Sergei
Published: (2024)

On matrix Lax representations and constructions of Miura-type transformations for differential-difference equations
by: Chistov, Evgeny, et al.
Published: (2024)

On matrix Lax representations for (1+1)-dimensional evolutionary differential-difference equations
by: Igonin, Sergei
Published: (2026)

On integrability of a new dynamical system associated with the BBM-type hydrodynamic flow
by: Dutykh, Denys, et al.
Published: (2024)

Swinging Waves in the Ablowitz-Ladik Equation
by: Barashenkov, I. V., et al.
Published: (2026)

Numerical inverse scattering transform for the defocusing nonlinear Schrödinger equation with box-type initial conditions on a nonzero background
by: Gkogkou, Aikaterini, et al.
Published: (2024)

The tau functions of the constrained CKP hierarchy
by: Chen, Danqi, et al.
Published: (2026)

Efficient computation of soliton gas primitive potentials
by: Ballew, Cade, et al.
Published: (2025)

Painlevé Integrability And Shifted Nonlocal Reductions Of A Variable Coefficient Coupled HI Mkdv System
by: Demir, Taylan
Published: (2025)

Solutions of generalized constrained discrete KP hierarchy
by: Mu, Xuepu, et al.
Published: (2024)

Toda Darboux transformations and vacuum expectation values
by: Wang, Chengwei, et al.
Published: (2024)

Lax structure and tau function for large BKP hierarchy
by: Guan, Wenchuang, et al.
Published: (2024)

The Modified Toda Hierarchy
by: Rui, Wenjuan, et al.
Published: (2024)

The Korteweg-de Vries limit for the global dynamics of the Toda lattice
by: Liu, Ruoyuan, et al.
Published: (2026)

Exotic Coherent Structures and Their Collisional Dynamics in a (3+1) dimensional Bogoyavlensky-Konopelchenko Equation
by: Kumar, C. Senthil, et al.
Published: (2024)

The Orlov-Schulman symmetries of the Manakov-Santini hierarchy
by: Bogdanov, L. V.
Published: (2025)

On some linear equations associated with dispersionless integrable systems
by: Bogdanov, L. V.
Published: (2024)

On perturbations of the spectrum of one-dimensional PT-symmetric periodic Schrodinger operator
by: Grinevich, P. G., et al.
Published: (2025)

A vectorial Darboux transformation for integrable matrix versions of the Fokas-Lenells equation
by: Müller-Hoissen, Folkert, et al.
Published: (2025)

New type of rogue waves
by: Ustinov, N. V.
Published: (2023)