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[×ÊÔ´] Handbook of Nonlinear Partial Differential Equations

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Nonlinearpartialdifferentialequationsareencounteredinvariouseldsofmathematics,physics,
chemistry, andbiology, andnumerousapplications.
Exact(closed­form) solutions ofdifferential equationsplayanimportant role in the proper
understandingofqualitativefeaturesofmanyphenomenaandprocessesin variousareasofnatural
science. Exactsolutions ofnonlinearequationsgraphicallydemonstrateand allowunraveling
the mechanismsofmanycomplexnonlinearphenomenasuch asspatial localization oftransfer
processes, multiplicityorabsence steady states undervarious conditions, existenceofpeaking
regimesandmanyothers. Furthermore,simplesolutionsareoftenusedin teaching manycourses
asspecicexamplesillustratingbasictenetsofatheory that admitmathematicalformulation.
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