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Varioussolutionsof(2+1)-dimensionalsixth-orderbreakingsoliton systemsusingbilinearneuralnetworkmethod
Varioussolutionsof(2+1)-dimensionalsixth-orderbreakingsoliton systemsusingbilinearneuralnetworkmethod
Nguyễn Minh Tuấn
Thispaperfirstlyintroducesthe(2+1)-dimensional sixth-orderbreakingsoli
tonsystem(SBSS)usingthebilinearneuralnetworkmethod,providingmany
typesof solutions. Anewstructureof theSBSSis investigated,andnewso
lutionsaregathered. Thesolutionsareexpressedintermsofbasicactivation
functionsandarederivedbyapplyingtheseactivationfunctions. Usingthe
Hirotabilinearoperator, theoriginalnonlinearpartialdifferentialequationis
reducedtoamoretractableform.Thebilinearneuralnetworkapproachyields
variousclassesof solutions, includingkink, rogue,peak,breather, lump-type,
andspike-typesolutions.Thesesolutionsareexpressedintermsofelementary
functions, revealingthevariousdynamicalbehaviors inherent inthesystem.
Theresultsobtainednotonlygeneralizeknownsolutionsbutalsoillustratea
deeperinsightintothecomplexwavepropagationphenomenadescribedbythe
sixth-orderbreakingsolitonequation
Xuất bản trên:
Varioussolutionsof(2+1)-dimensionalsixth-orderbreakingsoliton systemsusingbilinearneuralnetworkmethod
Ngày đăng:
2026
Nhà xuất bản:
International Journal of Optimization and Control: Theories & Applications
Địa điểm:
Từ khoá:
Breakingsolitonsystem Bilinearneuralnetwork method(BNNM) Softmaxmethod High-ordersolitonequations Solitarywavesolutions Analyticexactsolution