Cover Image

Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Yagasaki, Kazuyuki
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs Dynamical Systems Exactly Solvable and Integrable Systems 35Q53, 37K15, 34M03, 34M15, 34M35, 34M40, 35P25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature
by: Yagasaki, Kazuyuki
Published: (2025)

Transient asymptotics of the modified Camassa-Holm equation
by: Xu, Taiyang, et al.
Published: (2023)

General rogue waves of infinite order: Exact properties, asymptotic behavior, and effective numerical computation
by: Bilman, Deniz, et al.
Published: (2024)

Soliton solutions to the Sawada--Kotera equation
by: Aktosun, Tuncay, et al.
Published: (2025)

Infinite-peakon solutions of the Camassa-Holm equation
by: Chang, Xiang-Ke, et al.
Published: (2025)

Spaces of initial conditions for quartic Hamiltonian systems of Painlevé and quasi-Painlevé type
by: Dell'Atti, Marta, et al.
Published: (2024)

All meromorphic solutions of a 3D Lotka-Volterra system: detecting partial integrability
by: Meng, Techheang, et al.
Published: (2024)

Algebraic Complete Integrability of the $a_4^{(2)}$ Toda Lattice
by: Ndi, Bruce Lionnel Lietap, et al.
Published: (2024)

From topological recursion to wave functions and PDEs quantizing hyperelliptic curves
by: Eynard, Bertrand, et al.
Published: (2019)

Trans-Series Asymptotics of Solutions to the Degenerate Painlevé III Equation: A Case Study
by: Vartanian, A.
Published: (2020)

Soliton solutions associated with a class of third-order ordinary linear differential operators
by: Aktosun, Tuncay, et al.
Published: (2024)

Vector systems of Painlevé type
by: Adler, V. E., et al.
Published: (2025)

Inverse scattering method for an integrable system of derivative nonlinear Schrödinger equations
by: Unlu, Mehmet
Published: (2025)

Nonintegrability of the restricted three-body problem
by: Yagasaki, Kazuyuki
Published: (2021)

Non-integrability of the Sasano system of type $A^{(2)}_5$
by: Stoyanova, Tsvetana
Published: (2025)

Liouvillian integrability of three dimensional vector fields
by: Aziz, Waleed, et al.
Published: (2023)

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

Algorithm classifying roots of star-shaped Kac-Moody root systems
by: Oshima, Toshio
Published: (2025)

Long time asymptotics for the KPII equation
by: Wu, Derchyi
Published: (2025)

Global branching of solutions to ODEs and integrability
by: Halburd, Rod
Published: (2025)

The inverse scattering theory of Kadomtsev-Petviashvili II equations
by: Wu, Derchyi
Published: (2024)

Explicit solutions of Schrödinger and KdV equations in terms of square roots of the generalised matrix eigenvalues
by: Sakhnovich, Alexander
Published: (2022)

Exact periodic solutions of the generalized Constantin-Lax-Majda equation with dissipation
by: Silantyev, Denis A., et al.
Published: (2024)

Liouvillian integrability of vector fields in higher dimensions
by: Aziz, Waleed, et al.
Published: (2025)

Selected aspects of the Korteweg-de Vries equation
by: Hohloch, Sonja, et al.
Published: (2024)

The periodic Camassa-Holm equation by the Riemann-Hilbert problem approach
by: de Monvel, Anne Boutet, 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)

The Cauchy problem for the Degasperis-Procesi Equation: Painlevé Asymptotics in Transition Zones
by: Wang, Zhaoyu, et al.
Published: (2024)

Stability of Kadomtsev-Petviashvili multi-line solitons
by: Wu, Derchyi
Published: (2022)

Iterative polynomial regularisation of PIV-type: Hamiltonian systems and Newton polygons
by: Dell'Atti, Marta, et al.
Published: (2025)

Quadratic Bureau-Guillot systems with the first and second Painlevé transcendents in the coefficients. Part I: geometric approach and birational equivalence
by: Dell'Atti, Marta, et al.
Published: (2025)

Metrisable oscillators and (super)integrable two-dimensional metrics
by: Giné, Jaume, et al.
Published: (2026)

Differential Equations for Approximate Solutions of Painlevé Equations: Application to the Algebraic Solutions of the Painlevé-III $({\rm D}_7)$ Equation
by: Buckingham, Robert J., et al.
Published: (2023)

On $q$-Painlevé VI and the geometry of Segre surfaces
by: Roffelsen, Pieter
Published: (2023)

Bogoyavlensky lattices and generalized Catalan numbers
by: Adler, V. E.
Published: (2022)

On $β=6$ Tracy-Widom distribution and the second Calogero-Painlevé system
by: Its, Alexander, et al.
Published: (2020)

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)

Long-time asymptotics for the Korteweg-de Vries equation with integrable reflectionless initial data
by: Eckhardt, Jonathan
Published: (2023)

GBDT with nontrivial seeds: explicit solutions of the focusing NLS equations and the corresponding Weyl functions
by: Sakhnovich, Alexander
Published: (2025)

Inverse scattering problem for the third-order equation on the line
by: Aktosun, Tuncay, et al.
Published: (2025)