OALib Journal期刊
ISSN: 2333-9721
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(2+1)维zk方程的对称约化及其精确解
DOI: 10.13484/j.nmgdxxbzk.20150301, PP. 225-229
Keywords: 对称,吴-微分特征列集算法,推广的简单方程方法,精确解,(2+1)维zk方程
Abstract:
借助于符号计算系统mathematica获得(2+1)维zk方程的对称形式并对其进行约化.在约化后的几种情况中选取了一个方程,利用推广的简单方程方法进行求解,得到了新的精确行波解;且分别以含两个任意参数的双曲函数、三角函数及有理函数等三种形式表示之,其中双曲函数表示的行波解中参数取特殊值时可得到孤波解.
References
[1] | blumangw,kumeis.symmetriesanddifferentialequations[m].newyork,berlin:spring-verlag,1989.
|
[2] | sirendaoreji.anewauxiliaryequationandexacttravellingwavesolutionsofnonlinearequations[j].physletta,2006,356:124-130.
|
[3] | zhangjl,wangml,lixz.thesubsidiaryordinarydifferentialequationsandtheexactsolutionsofthehigherorderdispersivenonlinearschrdingerequation[j].physletta,2006,357:188-195.
|
[4] | kudryashovna.simplestequationmethodtolookforexactsolutionsofnonlineardifferentialequations[j].chaos,solitonsfract,2005,24:1217-1231.
|
[5] | 朝鲁.微分方程(组)对称向量的吴-微分特征列集算法及其应用[j].数学物理学报,1999,19(3):326-332.
|
[6] | 石玉仁,张娟,杨红娟.(2+1)维zk方程的多孤立波解[j].西北大学学报:自然科学版,2011,47(1):30-33.
|
[7] | 边春泉,庞晶.一类非线性发展方程的新精确解[j].内蒙古工业大学学报:自然科学版,2009,28(4):246-251.
|
[8] | 朱永平.利用推广的f-展开法求解(2+1)维zk方程[j].纺织高校基础科学学报:自然科学版,2013,26(2):211-213.
|
[9] | 杨征,马松华,方建平.(2+1)维zakharov-kuznetsov方程的精确解和孤子结构[j].物理学报,2011,60(4):040508(1-5).
|
[10] | clarksonpa,kruskalmd.newsimilarityreduetionsoftheboussinesqequation[j].jmathphys,1989,30:2201.
|
[11] | wangml,zhouyb,lizb.applicationsofahomogeneousbalancemethodtoexactsolutionsofnonlinearequationsinmathematicalphysics[j].physletta,1996,216:67-75.
|
[12] | faneg.extendedtanh-functionmethodanditsapplicationstononlinearequations[j].physletta,2000,277:212-218.
|
[13] | wangml,lixz.applicationsoff-expansiontoperiodicwavesolutionsforanewhamiltonianamplitudeequation[j].chaos,solitonsfract,2005,24:1257-1268.
|
[14] | wangml,lixz,zhangjl.the(g’/g)-expansionmethodandtravellingwavesolutionsofnonlinearevolutionequationsinmathematicalphysics[j].physletta,2008,372:417-423.
|
[15] | sudaobilige,temuerchaolu.anextendedsimplestequationmethodanditsapplicationtoseveralformsofthefifth-orderkdvequation[j].applmathcomput,2010,216:3146-3153.
|
[16] | sudaobilige,temuerchaolu,wangxm.applicationoftheextendedsimplestequationmethodtothecoupledschr?dinger-boussinesqequation[j].applmathcomput,2013,224:517-523.
|
[17] | sudaobilige,wangxm.applicationoftheextendedsimplestequationmethodtothewhitham-broer-kaup-likeequations[j].chinesejournalofquantumelectronics,2014,31(2):141-148.
|
[18] | 屈启兴.基于符号计算的(2+1)维zakharov-kuznetsov方程和耦合非线性波方程的可积性质和孤子解研究[d].北京:北京邮电大学理学院应用数学系,2011.
|
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