期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

Application of G′/G-expansion Method to Kuramoto-Sivashinsky Equation

Application of G′/G-expansion Method to Kuramoto-Sivashinsky Equation
原文传递
导出
摘要 This paper obtains the solutions of the Kuramoto-Sivashinsky equation. The G′/G method is used to carry out the integration of this equation. Subsequently, its special case, will be integrated and topological 1- soliton solution will be obtained by the soliton ansatz method. The restrictions on the parameters and exponents are also identified. This paper obtains the solutions of the Kuramoto-Sivashinsky equation. The G′/G method is used to carry out the integration of this equation. Subsequently, its special case, will be integrated and topological 1- soliton solution will be obtained by the soliton ansatz method. The restrictions on the parameters and exponents are also identified.
作者 Ghodrat Ebadi Anjan Biswas
机构地区 Faculty of Mathematical Sciences Department of Mathematical Sciences Faculty of Science
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2016年第3期623-630,共8页 应用数学学报（英文版）
关键词 evolution equations SOLITONS INTEGRABILITY evolution equations solitons integrability
分类号 O175.29 [理学—基础数学]
  • 相关文献

参考文献15

  • 1Byrnes C I, Gilliam D S, Hu C, Shubov V I. Zero dynamics boundary control for regulation of the Kuramoto- Sivasinsky equation. Mathematical and Computer Modelling, 52(5-6): 875-891 (2010).
  • 2Cao Y, Titi E S. Trivial stationary solutions to the Kuramoto-Sivasinsky equation and certain nonlinear elliptic equations. Journal of Differential Equations, 231(2): 755-767 (2006).
  • 3Haq S, Bibi N, Timizi S I A, Usman M. Meshless method of lines for the numerical solution of the generalized Kuramoto-Sivasinsky equation. Applied Mathematics and Computation, 217(6): 2404-2413 (2010).
  • 4Lai H, Ma C. Lattice Boltzman method for the generalized Kuramoto-Sivasinsky equation. Physica A, 38S(8): 1405-1412 (2009).
  • 5Li C, Chen G, Zhao S. Exact traveling wave solutions to the generalized Kuramoto-Sivasinsky equation. Latin American Applied Research, 34:65-68 (2004).
  • 6Kudryashov N A. Solitary and periodic solutions of the generalized Kuramoto-Sivasinsky equation. Regular and Chaotic Dynamics, 13(3): 234-238 (2008).
  • 7Manickam A V, Moudgalya K M, Pani A K. Second-order splitting combined with orthogonal cubic spline collocation method for the Kuramoto-Sivasinsky equation. Computers and Mathematics with Application, 35(6): 5-25 (1908).
  • 8Mitt'al R C," Arora G. Quintic B-spline collocation method for numerical solution of the Kuramoto- Sivashinsky equation. Communications in Nonlinear Science and Numerical Simulation, 15(10): 2798-2808 (2010).
  • 9Otto F. Optimal bounds on the Kuramoto-Sivasinsky equation. Journal of Functional Analysis, 257(7): 2188-2245 (2009).
  • 10Sun B. Maximum principle for optimal boundary control of the Kuramoto-Sivasinsky equation. Journal of the Franklin Institute, 347(2): 467 482 (2010).
Acta Mathematicae Applicatae Sinica
2016年 第3期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部