| EXPLICIT EXACT SOLUTIONS TO A GENERALIZED KDV EQUAFION |
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| 作者姓名： | 马文秀 周德常 |
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| 作者单位： | Ma Wenxiu (Institute of Mathematics，Fudan University，Shanghai 200433，China)Zhou Detang (Department of Mathematics，Shandong University，Jinan，Shandong 250100，China) |
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| 摘 要： | 1Intr0ductionThestudyofnonlinearequationshas1edtoquitebeautifulthe0ryofintegrablesys-tems.HoweyeritisstilldifficuIttosearchforeXPllcitsolutionst0nonlinearequati0ns.Ofcourse,therehavebeenafewmeth0dst0solyenonlinearequationsexactlyforexample,theinversescatteringtransformandBack1und-Darbouxtransf0rmationmethod.Butthesemeth-odsfirstneedlinearrepresentati0nsofn0nlinearequati0ns,whichisadiffeultpoint.Intliispaper,wew0uldliket0proposeakindofexplicittravellingwavesolutionstothegenera1izedKdVequati…
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EXPLICIT EXACT SOLUTIONS TO A GENERALIZED KDV EQUAFION |
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| Ma Wenxiu.EXPLICIT EXACT SOLUTIONS TO A GENERALIZED KDV EQUAFION[J].Acta Mathematica Scientia,1997(Z1). |
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| Authors: | Ma Wenxiu |
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| Abstract: | This paper carefully analyses the possibility of that a generalized KdV equa- tion possesses a family of solutions of the finite series form,and thus a kind of its explicit complex exact solutions is cxhibited.These complex solutions constitute real exact so- lutions to th e system of complex form of the above generalized KdV equation. |
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| Keywords: | Generalized KdV equation travelling wave solution series method |
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