The direct scattering problem for the perturbed Gr(1, 2) ⩾0 Kadomtsev–Petviash-vili II solitons (Q5136542)

scientific article; zbMATH DE number 7278323

Language	Label	Description	Also known as
English	The direct scattering problem for the perturbed Gr(1, 2)<sub> <b>⩾</b>0</sub> Kadomtsev–Petviash-vili II solitons	scientific article; zbMATH DE number 7278323

Statements

instance of

scholarly article

0 references

title

The direct scattering problem for the perturbed Gr(1, 2) ⩾0 Kadomtsev–Petviash-vili II solitons (English)

0 references

0 references

0 references

26 November 2020

0 references

full work available at URL

https://arxiv.org/abs/1905.05479

0 references

zbMATH Keywords

Kadomtsev-Petviashvili equation

0 references

line soliton

0 references

Sato theory

0 references

inverse scattering theory

0 references

MaRDI profile type

Publication

0 references

cites work

On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation

0 references

On the evolution of packets of water waves

0 references

Elastic and inelastic line-soliton solutions of the Kadomtsev-Petviashvili II equation

0 references

On a family of solutions of the Kadomtsev–Petviashvili equation which also satisfy the Toda lattice hierarchy

0 references

Towards an inverse scattering theory for non-decaying potentials of the heat equation

0 references

Inverse scattering theory of the heat equation for a perturbed one-soliton potential

0 references

Building an extended resolvent of the heat operator via twisting transformations

0 references

The equivalence of different approaches for generating multisoliton solutions of the KPII equation

0 references

Heat operator with pure soliton potential: Properties of Jost and dual Jost solutions

0 references

Extended resolvent of the heat operator with a multisoliton potential

0 references

IST of KPII equation for perturbed multisoliton solutions

0 references

On the Cauchy problem for the Kadomtsev-Petviashvili equation

0 references

Soliton Solutions of the KP Equation and Application to Shallow Water Waves

0 references

Q4003380

0 references

The Cauchy problem for the Kadomtsev–Petviashvili–I equation without the zero mass constraint

0 references

Q4195061

0 references

Nonsingularity of the direct scattering transform for the KP II equation with a real exponentially decaying-at-infinity potential

0 references

Two-dimensional ``inverse scattering problem'' for negative energies and generalized-analytic functions. I: Energies below the ground state

0 references

Well-posedness for the Kadomtsev-Petviashvili II equation and generalisations

0 references

Erratum to ``Well-posedness and scattering for the KP-II equation in a critical space'' [Ann. I. H. Poincaré - AN 26 (3) (2009) 917-941]

0 references

Global well-posedness of the KP-I initial-value problem in the energy space

0 references

LOCAL AND GLOBAL CAUCHY PROBLEMS FOR THE KADOMTSEV–PETVIASHVILI (KP–II) EQUATION IN SOBOLEV SPACES OF NEGATIVE INDICES

0 references

Q5621188

0 references

On the local and global well-posedness theory for the KP-I equation

0 references

IST Versus PDE: A Comparative Study

0 references

KP Solitons and the Grassmannians

0 references

Solitons in Two-Dimensional Shallow Water

0 references

The Deodhar decomposition of the Grassmannian and the regularity of KP solitons

0 references

Q4924170

0 references

Hamiltonian structure of the Kadomtsev-Petviashvili. II: Equation in the class of decreasing Cauchy data

0 references

The inverse scattering transform for the time-dependent Schrödinger equation and Kadomtsev-Petviashvili equation

0 references

Darboux transformation and explicit solutions of the Kadomtsev-Petviashvili equation, depending on functional parameters

0 references

Stability of line solitons for the KP-II equation in ℝ²

0 references

The Phase Shift of Line Solitons for the KP-II Equation

0 references

Global well-posedness for the KP-II equation on the background of a non-localized solution

0 references

Global well-posedness for the KP-I equation

0 references

Q3579593

0 references

On some nondecaying potentials and related Jost solutions for the heat conduction equation

0 references

\(N\)-soliton solution of the two-dimensional Korteweg-deVries equation

0 references

Square integrability and uniqueness of the solutions of the Kadomtsev-Petviashvili-I equation

0 references

On the local regularity of the Kadomtsev-Petviashvili-II equation

0 references

Q5332327

0 references

On the initial value problem for the KPII equation with data that do not decay along a line

0 references

Inverse scattering for the heat operator and evolutions in \(2+1\) variables

0 references

Inverse scattering transform for the time dependent Schrödinger equation with applications to the KPI equation

0 references

describes a project that uses

Digital Library of Mathematical Functions

0 references

Identifiers

zbMATH Open document ID

1452.35176

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

10.1088/1361-6544/ABA88B

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5136542

The direct scattering problem for the perturbed Gr(1, 2)<sub> <b>⩾</b>0</sub> Kadomtsev–Petviash-vili II solitons (Q5136542)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)