Paper Citation Record · LEDGER

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions

As of 22 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2507.01288.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.01288 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:07:39.652646Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:07:50.278357Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T11:07:50.327123Z

Reference resolution

22 of 22 outbound references displayed

verified exact0
verified fuzzy15
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5b2fa3a7-ca82-49bf-8a2e-db65d7a834c9 · outbound

This paper cites Scattering of the 2D modified Zakharov-Kuznetsov equation.

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions Scattering of the 2D modified Zakharov-Kuznetsov equation

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T21:07:37.950825Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 651f37ea-3725-4775-b7a5-d0df6b3632f0 · outbound

This paper cites and Saut J.-C., Dispersion estimates for third order equations in two dimensions.

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions and Saut J.-C., Dispersion estimates for third order equations in two dimensions

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:42.855871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1e998db0-1624-4aa5-9424-8039a7741a99 · outbound

This paper cites an unresolved cited work.

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:07:42.731901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3a8dcf54-711a-40eb-bf9e-02a5bf461715 · outbound

This paper cites V., The Cauchy problem for the Zakharov-Kuznetsov equation.

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions V., The Cauchy problem for the Zakharov-Kuznetsov equation

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:42.622160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0891443c-4981-4ce2-b168-50755b3e313f · outbound

This paper cites and Pastor A., A note on the 2D generalized Zakharov-Kuznetsov equation: local, global, and scattering results.

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions and Pastor A., A note on the 2D generalized Zakharov-Kuznetsov equation: local, global, and scattering results

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:42.504867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 793ff7e2-c7cd-4a20-b847-d5d7906c38e0 · outbound

This paper cites and Shatah J., Global solutions for 3D quadratic Schr¨ odinger equations.

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions and Shatah J., Global solutions for 3D quadratic Schr¨ odinger equations

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:42.422974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 99a0485e-b1d3-4841-92cb-e5d120949d1d · outbound

This paper cites and Shatah J., Global solutions for 2D quadratic Schr¨ odinger equations.

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions and Shatah J., Global solutions for 2D quadratic Schr¨ odinger equations

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:42.319785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 825875ec-3111-44fc-9536-1fd892f69f55 · outbound

This paper cites an unresolved cited work.

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:07:42.125522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ab7e8d88-927d-49e4-82bc-14b1280c416d · outbound

This paper cites and Herr S.,The Fourier restriction norm method for the Zakharov-Kuznetsov equation.

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions and Herr S.,The Fourier restriction norm method for the Zakharov-Kuznetsov equation

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:41.926261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2f5cd580-413c-4030-9c2c-b5c3f5735b14 · outbound

This paper cites an unresolved cited work.

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:07:41.741896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 13006ea9-4ad7-40f7-bd2a-0f05568c41e7 · outbound

This paper cites and Kinoshita S., The Zakharov-Kuznetsov equation in high dimensions: small initial data of critical regularity.

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions and Kinoshita S., The Zakharov-Kuznetsov equation in high dimensions: small initial data of critical regularity

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:41.560672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 18d24ff5-6b51-4ff0-980e-9c770b89ffe3 · outbound

This paper cites and Kinoshita S., Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher.

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions and Kinoshita S., Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:41.380917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c5ca76d2-d474-4277-9c7d-354a192f55ff · outbound

This paper cites and Tao T., Endpoint Strichartz estimates.

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions and Tao T., Endpoint Strichartz estimates

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:41.195782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e81686d6-4ac7-431a-84a4-7f6deb276af0 · outbound

This paper cites an unresolved cited work.

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:07:41.014022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 24324930-0152-4ad8-a8e1-ec9d8e44be1b · outbound

This paper cites an unresolved cited work.

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:07:40.818594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3ddc181c-a382-48aa-9a81-0488e4ce9de1 · outbound

This paper cites and Saut J.-C., The Cauchy problem for the Euler-Poisson system and derivation of the Zakharov-Kuznetsov equation.

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions and Saut J.-C., The Cauchy problem for the Euler-Poisson system and derivation of the Zakharov-Kuznetsov equation

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:40.672488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c8dca4fc-6a4f-4c03-badc-219b6fef6702 · outbound

This paper cites and Ponce G., Introduction to nonlinear dispersive equations.

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions and Ponce G., Introduction to nonlinear dispersive equations

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:40.544071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation eeb46fe5-5423-4250-86fc-1921eada2b75 · outbound

This paper cites and Saut J.-C., The Cauchy problem for the 3D Zakharov-Kuznetsov equation.

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions and Saut J.-C., The Cauchy problem for the 3D Zakharov-Kuznetsov equation

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:40.412128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ba2cdd00-0109-4c29-b35f-a35e2e8cc178 · outbound

This paper cites and Pilod D., Bilinear Strichartz estimates for the Zakharov-Kuznetsov equation and applications.

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions and Pilod D., Bilinear Strichartz estimates for the Zakharov-Kuznetsov equation and applications

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:40.262239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9f963855-059f-4d5c-b946-aa870edf4159 · outbound

This paper cites and Tsutsumi Y., Global existence and asymptotic behavior of solutions for the Zakharov equations in three space dimensions , Adv.

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions and Tsutsumi Y., Global existence and asymptotic behavior of solutions for the Zakharov equations in three space dimensions , Adv

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:40.161825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5b7b3156-f1cf-4be0-8fee-f14ec4bffcfa · outbound

This paper cites and Vento S., Well-posedness results for the three-dimensional Zakharov-Kuznetsov equation.

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions and Vento S., Well-posedness results for the three-dimensional Zakharov-Kuznetsov equation

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:39.993410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2e3e16a7-0e16-4b7c-9dd2-ae0862197b02 · outbound

This paper cites an unresolved cited work.

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:07:39.839389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

Observation f69be610-8c94-4717-8093-3bd7eea9d105 · inbound

Global well-posedness and scattering for the 2D modified Zakharov-Kuznetsov equation cites this paper.

Global well-posedness and scattering for the 2D modified Zakharov-Kuznetsov equation Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:07:50.334665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.