Note 8 - Commitments and Contingencies (Details Textual)		3 Months Ended
May 21, 2024 USD ($)	Nov. 30, 2024 USD ($) ft²	Feb. 29, 2024 USD ($)
Finance Lease, Liability, Current		$ 0	$ 1,750,000
Lessee, Finance Lease, Discount Rate		8.00%
Useable Office and Production Space in Orange County, Florida [Member]
Area of Real Estate Property (Square Foot) \| ft²		10,926
Lessee, Finance Lease, Monthly Rent Amount		$ 10,650
Lessee, Finance Lease, Term of Contract (Year)		3 years
Lessee, Finance Lease, Renewal Term (Year)		5 years
Lessee, Finance Lease, Option to Purchase, Purchase Amount	$ 1,750,000	$ 1,750,000

Amount of monthly rent under the finance lease of the lessee.

No definition available.

Name:	sodi_LesseeFinanceLeaseMonthlyRentAmount
Namespace Prefix:	sodi_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Represents the amount required to buy out an finance lease with an option to purchase.

+ References

No definition available.

+ Details

Name:	sodi_LesseeFinanceLeaseOptionToPurchasePurchaseAmount
Namespace Prefix:	sodi_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Area of a real estate property.

+ References

No definition available.

+ Details

Name:	us-gaap_AreaOfRealEstateProperty
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:areaItemType
Balance Type:	na
Period Type:	instant

- Definition

Present value of lessee's discounted obligation for lease payments from finance lease, classified as current.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 842
-SubTopic 20
-Name Accounting Standards Codification
-Section 45
-Paragraph 1
-Subparagraph (b)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479041/842-20-45-1

+ Details

Name:	us-gaap_FinanceLeaseLiabilityCurrent
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Discount rate used by lessee to determine present value of finance lease payments.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 842
-SubTopic 20
-Name Accounting Standards Codification
-Section 50
-Paragraph 3
-Subparagraph (c)(3)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478964/842-20-50-3

+ Details

Name:	us-gaap_LesseeFinanceLeaseDiscountRate
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

Term of lessee's finance lease renewal, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 842
-SubTopic 20
-Name Accounting Standards Codification
-Section 50
-Paragraph 3
-Subparagraph (a)(3)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478964/842-20-50-3

+ Details

Name:	us-gaap_LesseeFinanceLeaseRenewalTerm1
Namespace Prefix:	us-gaap_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	instant

- Definition

Term of lessee's finance lease, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

+ References

+ Details

Name:	us-gaap_LesseeFinanceLeaseTermOfContract1
Namespace Prefix:	us-gaap_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	instant

- Details

Name:	us-gaap_LeaseContractualTermAxis=sodi_UseableOfficeAndProductionSpaceInOrangeCountyFloridaMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: