全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

广义(3+1)维立方Schr⒐dinger方程新的精确解

Keywords: 广义(3+1)维立方Schr⒐dinger方程,sineˉcosine法,孤波解,周期解

Full-Text   Cite this paper   Add to My Lib

Abstract:

运用sineˉcosine法,研究广义的(3+1)维立方Schr⒐dinger方程新的精确解,得到不同的孤波解和周期解共6组解.

References

[1]  范恩贵.可积系统与计算机代数[M].北京:科学出版社,2004.
[2]  Gardner C S,Green JM,KruskalM D,et al.Method for solving theKorteweg DeVries equation[J].Phys Rev Lett,1967,19:1095ˉ1097.
[3]  W eiss J,TaborM,Carnevale G.T he Painleve’s property for partial equations[J].JMath Phys,1983,24:522.
[4]  Parkes E J,Duffy B R.An automated tanhˉfunction method for finding s olitary solutions to nonlinear evolution equations[J].ComputPhys Commun,1996, 98:288ˉ300.
[5]  Liu S K,Fu Z T,Liu S D,et al.Jacobi elliptic function expansionmet hod and periodicwave solutions ofnonlinearwave equaˉtions[J].Phys Lett,2001, A289:69ˉ74.
[6]  曹瑞,张健.藕合KleinˉGordon方程的周期解[J].四川师范大学学报:自然科学 版,2006,29(1):19ˉ21.
[7]  W angM L,Zhou Y B,LiZ B.Application of a homogeneous balancemethod t o exact solutions ofnonlinear equations inmatheˉmatical physics[J].Phys Lett, 1996,A216:67ˉ75.
[8]  TakassakiK.A new approach to the selfˉdual yangˉmills equations[J].CommunMath Phys,1984,94:35ˉ39.
[9]  Clarkson P A.Nonclassical symmetry reductions of nonlinear partial di fferential equations[J].Math ComputModeling,1993,18:45ˉ68.
[10]  张金良,王明亮,王跃明,等.立方非线性Schr⒐dinger方程的Jacobi椭圆函数周 期解[J].原子与分子物理学报,2003,20(3):390ˉ392.
[11]  刘希强.非线性发展方程的显示解的研究[D].北京:中国物理研究院,2002.
[12]  Lax P D.Integrals of nonlinear equations of evolution and solitarywave s[J].Commun Pure ApplMath,1968,21:461ˉ490.
[13]  H irota R.Exact envelope sol iton solutions of a nonlinearwave equation[J].JMath Phy,1973,14:805ˉ809.
[14]  H irota R.Exact soliton solutions ofKortewegeˉdeˉVries equation formn ltiple colliesions of solitons[J].Phys Rev Lett,1971,27:1192ˉ1194.
[15]  Clarkson P A,KruskalM D.New similarity reduction of the Boussinesq eq uation[J].JMath Phys,1989,30:2201ˉ2207.
[16]  李志斌,白富多.求解线性方程组的一种迭代解法[J].哈尔滨工业大学报,199 3,29(2):1ˉ4.
[17]  周钰谦,张健.一类反应扩散方程的新精确解[J].四川师范大学学报:自然科学 版,2003,26(5):448ˉ451.
[18]  周钰谦,张健.推广的BˉBBM方程的显示孤立波解[J].四川师范大学学报:自然 科学版,2004,27(1):35ˉ38.
[19]  Zhou Yuˉqian,Liu Qian,Zhang Jian,et al.Exact solution for(2+1)ˉ dimension nonlinear dispersive longwave equation[J].AppliedMathematics and Com putation,2006,177(2):495ˉ499.
[20]  Zhou Z X.A method to obtain explicit solutions of1+2dimensionalAKNS s ystem[J].Phys Lett,1992,A168:370ˉ375.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133