Cover Image

Inverse scattering method via Gel'fand--Levitan--Marchenko equation for some negative order nonlinear wave equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ismailov, Mansur I., Sabaz, Cihan
Format:	Preprint
Published:	2022
Subjects:	Exactly Solvable and Integrable Systems Mathematical Physics Spectral Theory 37K15, 35C08, 35L70
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Bilinear structures of the fourth-order lattice Gel'fand-Dikii equations
by: Zhao, Song-lin, et al.
Published: (2025)

On trilinear and quadrilinear equations associated with the lattice Gel'fand-Dikii hierarchy
by: van der Kamp, P. H., et al.
Published: (2024)

Miura transformation in bidifferential calculus and a vectorial Darboux transformation for the Fokas-Lenells equation
by: Müller-Hoissen, Folkert, et al.
Published: (2025)

Hamiltonian models for the propagation of long gravity waves, higher-order KdV-type equations and integrability
by: Ivanov, Rossen I.
Published: (2024)

Lie symmetry classification and group invariant solutions of generalized radial heat equation with nonlinear reaction source
by: Singh, Manjit, et al.
Published: (2026)

Spectral and linear stability of peakons in the Novikov equation
by: Lafortune, Stéphane
Published: (2023)

On symmetries of the Gibbons-Tsarev equation
by: Baran, H., et al.
Published: (2018)

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

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

Spectral instability of peakons for the $b$-family of Novikov equations
by: Deng, Xijun, et al.
Published: (2024)

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

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

Orbital stability of smooth solitary waves for the modified Camassa-Holm equation
by: Deng, Xijun, et al.
Published: (2024)

The negative symmetry classification problem
by: Kolesnikov, M. P.
Published: (2025)

Jost solutions and direct scattering for the continuum Calogero-Moser equation
by: Frank, Rupert L., et al.
Published: (2025)

Non-crossing permutations for the KP solitons under the Gel'fand-Dickey reductions and the vertex operators
by: Huang, Shilong, et al.
Published: (2024)

The direct linearization scheme with the Lamé function: The KP equation and reductions
by: Li, Xing, et al.
Published: (2025)

Stability of 2-soliton solutions for the modified Camassa-Holm equation with cubic nonlinearity
by: Deng, Xijun, et al.
Published: (2025)

Inverse scattering theory for the discrete PT-symmetric nonlocal nonlinear Schröinger equation under arbitrarily large nonzero boundary conditions
by: Xu, Chuanxin, et al.
Published: (2026)

Semi-global symplectic invariant of the champagne bottle
by: Christov, Ognyan
Published: (2026)

Integrability, geometry and wave solutions of some Kairat equations
by: Myrzakulova, Zh., et al.
Published: (2023)

(3+1)-dimensional modified Kadomtsev-Petviashvili equation and its \bar{\partial}-formalism
by: Li, Yue, et al.
Published: (2025)

Inverse scattering transform for continuous and discrete space-time shifted integrable equations
by: Ablowitz, Mark J., et al.
Published: (2023)

Inverse scattering transform for the coupled Lakshmanan-Porsezian-Daniel equation with nonzero boundary conditions
by: Han, Peng-Fei, et al.
Published: (2024)

Inverse scattering transform for the focusing two-component Hirota equation with nonzero boundary conditions
by: Zhang, Feng, et al.
Published: (2025)

Integrable equations with negative evolution numbers
by: Pogrebkov, Andrei
Published: (2026)

Inverse scattering transform for the defocusing-defocusing coupled Hirota equations with non-parallel boundary conditions at infinity
by: Han, Peng-Fei, et al.
Published: (2024)

Eikonal 3.1: General solution for coupled system of eikonal equations, three space dimensions
by: Yehorchenko, Iryna
Published: (2024)

On a class of exact solutions of the Ishimori equation
by: Garifullin, Rustem N., et al.
Published: (2024)

Coexistence of two distinct rogue wave patterns in the coupled nonlinear Schrödinger equation
by: Deng, Zixuan, et al.
Published: (2026)

Inverse scattering transform for the defocusing-defocusing coupled Hirota equations with non-zero boundary conditions: double-pole solutions
by: Han, Peng-Fei, et al.
Published: (2024)

An integrable pseudospherical equation with pseudo-peakon solutions
by: da Silva, Priscila Leal, et al.
Published: (2024)

On Haantjes tensors for second-order superintegrable systems
by: Marquette, Ian, et al.
Published: (2024)

Hierarchy of coupled Burgers-like equations induced by conditional symmetries
by: Gorgone, M., et al.
Published: (2024)

Rogue wave patterns associated with Adler--Moser polynomials featuring multiple roots in the nonlinear Schrödinger equation
by: Lin, Huian, et al.
Published: (2024)

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

Inverse scattering transform for the defocusing nonlinear Schrödinger equation with local and nonlocal nonlinearities under non-zero boundary conditions
by: Xu, Chuanxin, et al.
Published: (2025)

Vector rogue wave patterns of the multi-component nonlinear Schrödinger equation and generalized mixed Adler--Moser polynomials
by: Lin, Huian, et al.
Published: (2025)

Five Specific Cases of the Simple Equations Method (SEsM)
by: Dimitrova, Zlatinka I.
Published: (2025)

Master symmetries of non-linear systems
by: Serwa, Nitin
Published: (2024)