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...

Sawada-Kotera-Kadomtsev-Petviashvili方程的行波解

, PP. 90-84

Keywords: SK-KP方程,指数函数法,F展开法,孤立波解,纽子波解,周期波解

Full-Text   Cite this paper   Add to My Lib

Abstract:

研究了SK-KP方程,该方程同时具有Sawada-Kotera方程和Kadomtsev-Petviashvili方程两个模型的双重特点,是一个可积性非常好的高阶非线性偏微分方程.利用F展开法与指数函数法相结合的方法,考察了该方程的精确解,获得了许多与现有文献中解的表达式不相同的各种精确解,从而丰富了相关文献中关于SK-KP方程的孤立子解和周期解的种类.尽管这些解的形式独特,但它们同样具有孤立波解、纽子波解和周期波解的各种动力学特征.

References

[1]  Wazwaz A M. The Hirota’s bilinear method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Kadomtsev-Petviashvili equation[J]. Appl Math and Comput,2008,200:160-166.
[2]  Sawada K, Kotera T. A method for finding N-soliton solutions of the KdV equation and KdV-like equation[J]. Prog Theor Phys,1974,51:1355-1367.
[3]  Hirota R. A new form of Bcklund transformations and its relation to the inverse scattering problem[J]. Prog Theor Phys,1974,52(5):1498-1512.
[4]  Matsuno Y. Bilinear Transformation Method[M]. New York:Academic Press,1984.
[5]  Zhang S. Exp-function method for solving Maccari’s system[J]. Phys Lett,2007,A371(1/2):65-71.
[6]  Ebaid A. Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method[J]. Phys Lett,2007,A365:213-219.
[7]  He J H. Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method[J]. Comput Math Appl,2007,54(7/8):966-986.
[8]  He J H, Abdou M A. New periodic solutions for nonlinear evolution equations using Exp-function method[J]. Chaos,Solitons and Fractals,2007,34:1421-1429.
[9]  Yusufoglu E. New solitonary solutions for modified forms of DP and CH equations using Exp-function method[J]. Appl Math Comput,2007,186:130-141.
[10]  He J H, Abdou M A. New periodic solutions for nonlinear evolution equations using Exp-function method[J]. Chaos,Solitons and Fractals,2007,34:1421-1429.
[11]  Amin G, Davodi D D, Ganji D D, et al. Finding general and explicit solutions (2+1) dimensional Broer-Kaup-Kupershmidt system nonlinear equation[J]. Applied Mathematics and Computation,2010,217:1415-1420.
[12]  Wang M L, Li X Z. Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equation[J]. Chaos,Solitons and Fractals,2005,24:1257-1268.
[13]  Zhang J L, Wang M L. The improved F-expansion method and its applications[J]. Phys Lett,2006,350:103-109.
[14]  Huang D J, Li D S, Zhang H Q. Explicit and exact traveling wave solutions for the generalized derivative Shrdinger equation[J]. Chaos,Solitons and Fractals,2007,31:586-593.
[15]  Abdou M A. The extended F-expansion method and its application for a class of nonlinear evolution equations[J]. Chaos,Solitons and Fractals,2007,31:95-104.
[16]  傅海明,戴正德. Kadomtesv-Petviashvili方程的新解[J]. 四川师范大学学报:自然科学版,2011,34(1):77-79.
[17]  赵云梅,芮伟国. Equal Width波方程的各种椭圆函数周期解和孤子解[J]. 四川师范大学学报:自然科学版,2008,31(2):190-193.
[18]  蒋毅,陈渝芝,蒲志林. 1+ 1维空间中变系数KdV方程组的精确解[J]. 四川师范大学学报:自然科学版,2007,30(6):670-673.
[19]  张金华,丁玉敏. F展开法结合指数函数法求解Zhiber-Shabat方程的精确解[J]. 纯粹数学与应用数学,2011,27(2):163-169.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133