Cover Image

Continuous binary Darboux transformation as an abstract framework for KdV soliton gases

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Rybkin, Alexei
Format:	Preprint
Published:	2025
Subjects:	Mathematical Physics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the inverse scattering transform for the KdV equation with summable initial data
by: Rybkin, Alexei
Published: (2026)

A new asymptotic regime for the KdV equation with Wigner-von Neumann type initial data
by: Rybkin, Alexei
Published: (2025)

Trace formulas revisited and a new representation of KdV solutions with short-range initial data
by: Rybkin, Alexei
Published: (2023)

Jánossy densities and Darboux transformations for the Stark and cylindrical KdV equations
by: Claeys, Tom, et al.
Published: (2023)

Genus two KdV soliton gases and their long-time asymptotics
by: Wang, Deng-Shan, et al.
Published: (2024)

Where solitons are in a KdV soliton gas
by: Doyon, Benjamin
Published: (2026)

Travelling-wave solutions and solitons of KdV, mKdV and NLS equations
by: Chatterjee, Supriya, et al.
Published: (2025)

Interactions of soliton and mean field in KdV equation with well type initial data
by: Gong, Ruizhi, et al.
Published: (2024)

Nonlinear stability of vector multi-solitons in coupled NLS and modified KdV equations
by: Ling, Liming, et al.
Published: (2025)

Weak compactons of nonlinearly dispersive KdV and KP equations
by: Anco, Stephen C., et al.
Published: (2024)

Quantum dispersionless KdV hierarchy revisited
by: Wang, Zhe
Published: (2024)

Complex Solitary Waves and Soliton Trains in KdV and mKdV Equations
by: Modak, Subhrajit, et al.
Published: (2015)

Galilean symmetry of the KdV hierarchy
by: Xu, Jianghao, et al.
Published: (2024)

KdV integrability in GUE correlators
by: Yang, Di
Published: (2026)

Equivalence of quantizations of the dispersionless KdV hierarchy
by: Blot, Xavier
Published: (2025)

The elliptic lattice KdV system revisited
by: Nijhoff, Frank, et al.
Published: (2025)

The loop equation for the Burgers--KdV hierarchy
by: Yang, Di, et al.
Published: (2024)

Exact Solutions of Stochastic Burgers-KdV Equation with variable coefficients
by: Adjibi, Kolade, et al.
Published: (2024)

Free Particle to Complex KdV breathers through Isospectral Deformation
by: Abhinav, Kumar, et al.
Published: (2011)

Hamiltonian formulation of the supersymmetric KdV equation
by: Pazarci, Ali, et al.
Published: (2026)

KdV Equation for Theta Functions on Non-commutative Tori
by: Cheng, Wanli
Published: (2024)

Stationary coupled KdV systems and their Stäckel representations
by: Szablikowski, Błażej M., et al.
Published: (2023)

On Quasi-integrable Deformation Scheme of The KdV System
by: Abhinav, Kumar, et al.
Published: (2021)

Soliton Shielding of the focusing modified KdV equation
by: Ma, Ruihong, et al.
Published: (2024)

Almost global large deviations principle for the KdV equation
by: D'Aquino, Riccardo Berforini, et al.
Published: (2026)

Modulation theory of soliton-mean flow in KdV equation with box type initial data
by: Gong, Ruizhi, et al.
Published: (2024)

Non-perturbative effects in JT gravity from KdV equations
by: Hatsuda, Yasuyuki, et al.
Published: (2025)

KdV hierarchies and quantum Novikov's equations
by: Buchstaber, V. M., et al.
Published: (2021)

On real hyperelliptic solutions of focusing modified KdV equation
by: Matsutani, Shigeki
Published: (2023)

Stochastic Analysis of Fifth-Order KdV Soliton in Damping Regime and Reduction to Painlevé Second Equation
by: Mahmood, Irfan, et al.
Published: (2026)

Quantum KdV hierarchy and shifted symmetric functions
by: van Ittersum, Jan-Willem, et al.
Published: (2024)

A class of extended high-dimensional nonisospectral KdV hierarchies and symmetry
by: Wang, Haifeng, et al.
Published: (2022)

Backlund transformation of Kaup Kupershmidt equations with mutli soliton solutions un Darboux framewor
by: Mahmood, Irfan
Published: (2024)

Long-time asymptotics for the $N_{\infty}$-soliton solution to the KdV equation with two types of generalized reflection coefficients
by: Zhang, Guoqiang, et al.
Published: (2025)

Super volumes and KdV tau functions
by: Alexandrov, Alexander, et al.
Published: (2024)

Airy kernel determinant solutions to the KdV equation and integro-differential Painlevé equations
by: Cafasso, Mattia, et al.
Published: (2020)

Coprimeness-preserving discrete KdV type equation on an arbitrary dimensional lattice
by: Kamiya, Ryo, et al.
Published: (2020)

Quantum KdV hierarchy and quasimodular forms
by: van Ittersum, Jan-Willem M., et al.
Published: (2022)

Stationary coupled KdV systems and their Stäckel representations
by: Błażej M. Szablikowski, et al.
Published: (2024)

Solutions to an autonomous discrete KdV equation via Painlevé-type ordinary difference equations
by: Nakazono, Nobutaka
Published: (2025)