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首次积分法下高维非线性偏微分方程新的行波解

Keywords: (3+1)维修正KdV-Zakharov-Kuznetsev方程,首次积分法,精确解

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Abstract:

在交换代数环论的基础上,通过首次积分方法和符号运算系统Mathematica,研究了(3+1)维修正KdV-Zakharov-Kuznetsev方程ut+αu2ux+uxxx+uxyy+uxzz=0,得到了其新精确行波解.

References

[1]  uo,ing.ogueave,reathersndright-Dark-Rogueolutionsorheoupledchrdingerquations[J].hinesehysett,2011,28:110202.
[2]  Guo,ing,iu.onlinearchrdingerquation:eneralizedarbouxransformationndogueaveolutions[J].hysev,2012,E85:026607.
[3]  Guo,ing,iu.igh-orderolutionsndeneralizedarbouxransformationsferivativeonlinearchrdingerquations[J].tudpplath,2013,130:317-344.
[4]  邓艳萍,周钰谦.线性Schrdinger方程组初值问题的驻波解[J].川师范大学学报:自然科学版,2013,36(2):243-246.
[5]  刘倩,周钰谦,刘合春.义Hirota-Satsuma耦合KdV方程的精确解[J].川师范大学学报:自然科学版,2011,34(3):335-339.
[6]  Ling,iu.ongaves-shortavesodel:arbouxransformationndolitonolutions[J].athhys,2011,52:053513.
[7]  Huang.henvestigationfolutionsoheoupledchrdinger-Boussinesqquations[J].bstrpplnal,2013,2013:170372.
[8]  Huang,uo,ing.arbouxransformationndovelolutionsorheongave-shortaveodel[J].onlathhys,2013,20:514-528.
[9]  Wang,hou,i.pplicationfomogeneousalanceethodoxactolutionsfonlinearquationsnathematicalhysics[J].hysett,1996,A216:67-75.
[10]  Fan.xtendedanh-functionethodndtspplicationsoonlinearquations[J].hysett,2000,A277:212-218.
[11]  Shin,arvishi,arati.omexactndewolutionsfheizhnik-Novikov-Vesselovquationsinghexp-functionethod[J].omputathppl,2009,58:2147-2151.
[12]  Yan,hang.ewxplicitolitaryaveolutionsnderiodicaveolutionsorhitham-Broer-Kaupequationnhallowater[J].hysett,2001,A285:355-362.
[13]  Feng.heirstntegralethodotudyheurgers-Korteweg-deriesquation[J].hysett,2002,A35:343-349.
[14]  aslan.heirstntegralethodorolvingomemportantonlinearartialifferentialquations[J].onlinearynamics,2008,53:281-286.
[15]  aghizadeh,irzazadeh,arahrooz.xactolutionsfheonlinearchrdingerquationyheirstntegralethod[J].athnalppl,2011,374:549-553.
[16]  Taghizadeh,irzazadeh,arahrooz.ewxactolutionsfomeonlinearartialifferentialquationsyheirstntegralethod[J].pplpplath,2010,5(10):446-456.
[17]  Zayed.ravelingaveolutionsorigherimensionalonlinearvolutionquationssingheG′/G)-expansionethod[J].pplathnformatics,2010,28:383-395.
[18]  Naher,bdullah,kbar.ewravelingaveolutionsfheigherimensionalonlinearartialifferentialquationyhexp-functionethod[J].pplath,2012,2012:575387.
[19]  丁同仁,李承治.常微分方程教程[M].版.京:高等教育出版社,2004.
[20]  Bourbaki.ommutativelgebra[M].aris:Herman,PublishersnArtsndcience,1972.

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