Pith Number

pith:QD5VDA7N

pith:2026:QD5VDA7NSDUEDRP6CFTTXHH654

not attested not anchored not stored refs resolved

Parametrically driven pure-quartic solitons

Boris A. Malomed, David Laroze, Dongdong Wang, Dumitru Mihalache, Lijing Xing, Pengfei Li

Pure-quartic solitons exist when parametric gain balances losses in systems with fourth-order dispersion.

arxiv:2605.15591 v1 · 2026-05-15 · physics.optics

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Claims

C1strongest claim

We report the existence of quiescent parametrically driven pure-quartic solitons (PDPQSs) in the full system, and moving PDPQSs in the absence of losses. A systematic analysis reveals stability domains for the solitons in the system's parameter space.

C2weakest assumption

The underlying model equation that combines second-order GVD, linear loss, parametric gain, and cubic nonlinearity is assumed to be an accurate description of the physical system without significant higher-order effects or other unmodeled terms.

C3one line summary

Existence, stability domains, and elastic collisions are shown for parametrically driven pure-quartic solitons in systems with quartic dispersion and parametric gain.

References

39 extracted · 39 resolved · 0 Pith anchors

[1] Localized structures in surface waves, 1989

[2] Secondary instabilities and spatiotemporal chaos in parametric surface waves, 1995

[3] Oscillatory patterns composed of the parametrically excited surface-wave solitons, 1998

[4] Long- distance pulse propagation in nonlinear optical fibers by using periodically spaced parametric amplifiers, 1993

[5] Stability diagram of the phase-locked solitons in the parametrically driven, damped nonlinear Schr¨ odinger equation, 1991

Receipt and verification

First computed	2026-05-20T00:01:07.024415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80fb5183ed90e841c5fe11673b9cfeef370316f791e5fd34a5581d5ec4d71ff6

Aliases

arxiv: 2605.15591 · arxiv_version: 2605.15591v1 · doi: 10.48550/arxiv.2605.15591 · pith_short_12: QD5VDA7NSDUE · pith_short_16: QD5VDA7NSDUEDRP6 · pith_short_8: QD5VDA7N

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QD5VDA7NSDUEDRP6CFTTXHH654 \
  | 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: 80fb5183ed90e841c5fe11673b9cfeef370316f791e5fd34a5581d5ec4d71ff6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c1a3e3054f16e080668d4d2463f0dc62cdcb374a1c7e518f81ad651f8b43f3a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-05-15T04:00:24Z",
    "title_canon_sha256": "9f5229f22cc2cc72ecc26d49bc480ee1c0ca3b226f372d1ffad6124eb7dec77c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15591",
    "kind": "arxiv",
    "version": 1
  }
}