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Handbook of Nonlinear Partial Differential Equations
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ÕâôºÃµÄ×ÊÁÏ£¬Ó벩ʿ£¨ºó£©³æÓÑÃǹ²Ïí£¬À´Ö®²»Ò×£¬ÃÖ×ãÕä¹ó°¡ 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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