Pith Number

pith:CW62DUZQ

pith:2026:CW62DUZQLMEFL4U5BR2AUESXS7

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Deformed and undeformed localized wave solutions for the two-component (2+1)-dimensional Fokas-Lenells equation

Minghe Zhang, Yanan Wang

Generalized Darboux transformation produces deformed solitons, positons, breathers, and rogue waves for the two-component Fokas-Lenells equation.

arxiv:2604.23684 v2 · 2026-04-26 · math-ph · math.MP

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\pithnumber{CW62DUZQLMEFL4U5BR2AUESXS7}

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Claims

C1strongest claim

we obtain deformed solitons, deformed positons on the zero background and deformed breathers, deformed Y-shaped breathers on the nonzero backgrounds by DT method. ... undeformed solutions including higher-order rogue wave solutions and breather-rogue wave solutions are derived by generalized DT.

C2weakest assumption

The assumption that a determinant-form generalized Darboux transformation exists and can be applied directly to the two-component (2+1)-dimensional Fokas-Lenells equation to produce valid localized wave solutions that satisfy the original PDE.

C3one line summary

Deformed and undeformed localized wave solutions are derived for the two-component (2+1)-dimensional Fokas-Lenells equation via generalized Darboux transformations in determinant form.

Receipt and verification

First computed	2026-05-29T02:05:45.160928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15bda1d3305b0855f29d0c740a125797c79667c945cd0e0b5dc4233a3bd9074b

Aliases

arxiv: 2604.23684 · arxiv_version: 2604.23684v2 · doi: 10.48550/arxiv.2604.23684 · pith_short_12: CW62DUZQLMEF · pith_short_16: CW62DUZQLMEFL4U5 · pith_short_8: CW62DUZQ

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CW62DUZQLMEFL4U5BR2AUESXS7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 15bda1d3305b0855f29d0c740a125797c79667c945cd0e0b5dc4233a3bd9074b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "103955d55153595ec51bdeb4f5b4f946fbee54f16bd4a30394a36b9155356d40",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-04-26T12:52:20Z",
    "title_canon_sha256": "af2c6b1842026e0c24147e869979f838625a7e9cf8cbba923afe9676a901eeee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.23684",
    "kind": "arxiv",
    "version": 2
  }
}