Cover Image

Implementation of the inverse scattering transform method for the nonlinear Schrödinger equation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Kravchenko, Vladislav V.
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs Mathematical Physics Classical Analysis and ODEs Exactly Solvable and Integrable Systems
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Spectral parameter power series for Zakharov-Shabat direct and inverse scattering problems
by: Kravchenko, Vladislav V.
Published: (2025)

Approximate direct and inverse scattering for the AKNS system
by: Kravchenko, Vladislav V.
Published: (2025)

Confluent Darboux transformations and Wronskians for algebraic solutions of the Painlevé III ($D_7$) equation
by: Harrow, J. W. E., et al.
Published: (2025)

Connection formulae for the radial Toda equations I
by: Guest, Martin A., et al.
Published: (2023)

Isochronous waveforms of Liénard equations via commutative factorization
by: Gonzalez, G., et al.
Published: (2024)

Determinantal approach to multiple orthogonal polynomials, and the corresponding integrable equations
by: Doliwa, Adam
Published: (2023)

Special solutions of a discrete Painlevé equation for quantum minimal surfaces
by: Clarkson, Peter A., et al.
Published: (2025)

The non-linear steepest descent approach to the singular asymptotics of the sinh-Gordon reduction of the Painlevé III equation
by: Its, Alexander R., et al.
Published: (2024)

From hyperbolic to complex Euler integrals
by: Belousov, N. M., et al.
Published: (2026)

Generalization of the Painlevé Property and Existence and Uniqueness in Fractional Differential Equations
by: Fiedorowicz, Michał
Published: (2024)

Q-operators for the Ruijsenaars model
by: Rains, Eric, et al.
Published: (2025)

Symmetry Approach to Integration of Ordinary Differential Equations with Retarded Argument
by: Dorodnitsyn, Vladimir, et al.
Published: (2025)

"Diophantine'' and Factorisation Properties of Finite Orthogonal Polynomials in the Askey Scheme
by: Odake, Satoru, et al.
Published: (2022)

On a class of elliptic orthogonal polynomials and their integrability
by: Desiraju, Harini, et al.
Published: (2023)

Rational Solutions of the Fifth Painlevé Equation. Generalised Laguerre Polynomials
by: Clarkson, Peter A., et al.
Published: (2023)

Fredholm determinant representation of the Painlevé II $τ$-function
by: Desiraju, Harini
Published: (2020)

On real and imaginary roots of generalised Okamoto polynomials
by: Roffelsen, Pieter, et al.
Published: (2024)

Bright and dark breathers on an elliptic wave in the defocusing mKdV equation
by: Pelinovsky, Dmitry E., et al.
Published: (2025)

Kink breathers on a traveling wave background in the defocusing modified Korteweg--de Vries equation
by: Arruda, Lynnyngs Kelly, et al.
Published: (2025)

Some properties of the simple nonlinear recursion $y(\ell + 1) = [1-y(\ell)]^p$ with $p$ an arbitrary positive integer
by: Calogero, Francesco
Published: (2025)

On an integrable 2+1-dimensional extended Dym equation: Lax pair, $\bar{\partial}$-dressing scheme and modulation
by: Konopelchenko, Boris, et al.
Published: (2026)

On the behavior of orbits of Vanhaecke system on integral surfaces
by: Shiwei, Wang, et al.
Published: (2025)

Critical Hermitian matrix model with external source and Boussinesq hierarchy
by: Wang, Dong, et al.
Published: (2025)

Hard to soft edge transition for the Muttalib-Borodin ensembles with integer parameter $θ$
by: Wang, Dong, et al.
Published: (2025)

On the long-wave approximation of solitary waves in cylindrical coordinates
by: Hornick, James, et al.
Published: (2024)

Delay Painlevé-I equation, associated polynomials and Masur-Veech volumes
by: Gibbons, John, et al.
Published: (2024)

Generalized mKdV Equation and Genus Two Jacobi Type Hyperelliptic Differential Equation
by: Hayashi, Masahito, et al.
Published: (2025)

From curvature to Kovacic: a geometric approach to integrability of scalar ODEs
by: Pan-Collantes, A. J., et al.
Published: (2026)

Exact solutions and reductions of nonlinear Schrödinger equations with delay
by: Polyanin, Andrei D., et al.
Published: (2024)

Closed-form solutions of the nonlinear Schrödinger equation with arbitrary dispersion and potential
by: Polyanin, Andrei D., et al.
Published: (2024)

Discrete orthogonality relations for multi-indexed Laguerre and Jacobi polynomials
by: Ho, Choon-Lin, et al.
Published: (2019)

Calogero-Sutherland hyperbolic system and Heckman-Opdam $\mathfrak{gl}_n$ hypergeometric function
by: Belousov, N., et al.
Published: (2025)

Two-dimensional nonlinear Schrödinger equations with potential and dispersion given by arbitrary functions: Reductions and exact solutions
by: Polyanin, Andrei D.
Published: (2025)

Painlevé XXXIV asymptotics for the defocusing nonlinear Schrödinger equation with a finite-genus algebro-geometric background
by: Fan, Engui, et al.
Published: (2026)

Ruijsenaars spectral transform
by: Belousov, N., et al.
Published: (2024)

Rigorous asymptotic analysis for the Riemann problem of the defocusing nonlinear Schrödinger hydrodynamics
by: Wang, Deng-Shan, et al.
Published: (2023)

Spectral theory for self-adjoint Dirac operators with periodic potentials and inverse scattering transform for the defocusing nonlinear Schroedinger equation with periodic boundary conditions
by: Biondini, Gino, et al.
Published: (2023)

Integrability of polynomial vector fields and a dual problem
by: Petek, Tatjana, et al.
Published: (2024)

Full Asymptotic Expansion of Monodromy Data for the First Painlevé Transcendent: Applications to Connection Problems
by: Long, Wen-Gao, et al.
Published: (2024)

Stability of periodic waves in the model with intensity--dependent dispersion
by: Natali, Fábio, et al.
Published: (2026)